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This document defines beams and support reactions. It discusses statically determinate beams and explains that support reactions can be determined using equilibrium conditions alone for these beams. The document outlines different types of beam supports including simple, pinned, roller, and fixed supports. It also defines types of beams such as simply supported, cantilever, overhang, and continuous beams. Finally, it discusses determining support reactions for statically determinate beams using equilibrium conditions and introduces the concept of virtual work.

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Chapter 2 beam

This chapter discusses beams and support reactions. It defines statically determinate beams and describes the following topics: types of beam supports including simple, pin/hinged, roller, and fixed supports; types of beams such as simply supported, cantilever, overhang, and continuous beams; types of loading including concentrated/point loads and distributed loads such as uniform, uniformly varying, and non-uniform loads; and the procedure to find support reactions of statically determinate beams using equilibrium conditions. It also discusses compound beams and the concept of virtual work.

Types of support

The document discusses different types of supports and loads that can act on beams. It describes:
1) Types of supports including simple, roller, hinged, and combinations that determine reaction forces and the beam's equilibrium.
2) Types of loads such as concentrated point loads, uniformly distributed loads, and varying loads which can be represented as a single load at the center.
3) Examples of calculating support reactions and internal forces in beams under different loading conditions.

Types of loads,supports , beams and spans ppt

The document discusses various types of loads, supports, beams, and spans that are commonly analyzed in structural engineering. It defines point loads, uniformly distributed loads, uniformly varying loads, and rolling loads. It also describes simple supports, roller supports, hinged supports, and fixed supports. The main types of beams covered are simply supported beams, cantilever beams, fixed beams, overhanging beams, continuous beams, and beams with one end hinged and the other end roller supported. Finally, it distinguishes between clear span, effective span, and total span.

Support reactions

Introduction
Types of Beam
Types of Loads acting on beam
Types of Supports
Instrument used for finding “Support Reactions”
How to find “Support Reactions”

Types of loads

The document discusses various types of loads, supports, beams, and spans that are commonly analyzed in structural engineering. It defines point loads, uniformly distributed loads, uniformly varying loads, and rolling loads. It also describes simple supports, roller supports, hinged supports, and fixed supports. The types of beams covered are simply supported beams, cantilever beams, fixed beams, overhanging beams, continuous beams, and beams with one end hinged and the other end roller supported. Finally, it distinguishes between clear span, effective span, and total span.

Chapter 7

This document discusses different types of beams and beam loadings. It defines beams as members that support loads perpendicular to their longitudinal axis. It describes simply supported beams, cantilever beams, overhanging beams, propped cantilevers, continuous beams, and beams with one end hinged and the other on rollers. The document also discusses concentrated loads, uniformly distributed loads, uniformly varying loads, general loadings, and external moments on beams. It provides examples of how to represent these loads for structural analysis.

what is beam ? types of beam shapes etc

The document summarizes the different types of beams. It discusses 9 types of beams classified based on their support: simply supported, fixed, over hanging, double overhanging, continuous, cantilever, and trussed. A simply supported beam is supported at the ends and free to rotate with no moment resistance. A fixed beam is supported at both ends and restrained from rotating. A cantilever beam is fixed at only one end and projects from that end.

Types Of Beams, Supports & Loads by Mr. K.Satish Poojith Reddy

By the end of this presentation you will be able to identify different types of Beams, supports and loads which are seen commonly in this world
Note: There is also background voice for this presentation which give brief explanation about every slide, for activating audio I think you need to download this presentation

Chapter 2 beam

This chapter discusses beams and support reactions. It defines statically determinate beams and describes the following topics: types of beam supports including simple, pin/hinged, roller, and fixed supports; types of beams such as simply supported, cantilever, overhang, and continuous beams; types of loading including concentrated/point loads and distributed loads such as uniform, uniformly varying, and non-uniform loads; and the procedure to find support reactions of statically determinate beams using equilibrium conditions. It also discusses compound beams and the concept of virtual work.

Types of support

The document discusses different types of supports and loads that can act on beams. It describes:
1) Types of supports including simple, roller, hinged, and combinations that determine reaction forces and the beam's equilibrium.
2) Types of loads such as concentrated point loads, uniformly distributed loads, and varying loads which can be represented as a single load at the center.
3) Examples of calculating support reactions and internal forces in beams under different loading conditions.

Types of loads,supports , beams and spans ppt

The document discusses various types of loads, supports, beams, and spans that are commonly analyzed in structural engineering. It defines point loads, uniformly distributed loads, uniformly varying loads, and rolling loads. It also describes simple supports, roller supports, hinged supports, and fixed supports. The main types of beams covered are simply supported beams, cantilever beams, fixed beams, overhanging beams, continuous beams, and beams with one end hinged and the other end roller supported. Finally, it distinguishes between clear span, effective span, and total span.

Support reactions

Introduction
Types of Beam
Types of Loads acting on beam
Types of Supports
Instrument used for finding “Support Reactions”
How to find “Support Reactions”

Types of loads

The document discusses various types of loads, supports, beams, and spans that are commonly analyzed in structural engineering. It defines point loads, uniformly distributed loads, uniformly varying loads, and rolling loads. It also describes simple supports, roller supports, hinged supports, and fixed supports. The types of beams covered are simply supported beams, cantilever beams, fixed beams, overhanging beams, continuous beams, and beams with one end hinged and the other end roller supported. Finally, it distinguishes between clear span, effective span, and total span.

Chapter 7

This document discusses different types of beams and beam loadings. It defines beams as members that support loads perpendicular to their longitudinal axis. It describes simply supported beams, cantilever beams, overhanging beams, propped cantilevers, continuous beams, and beams with one end hinged and the other on rollers. The document also discusses concentrated loads, uniformly distributed loads, uniformly varying loads, general loadings, and external moments on beams. It provides examples of how to represent these loads for structural analysis.

what is beam ? types of beam shapes etc

The document summarizes the different types of beams. It discusses 9 types of beams classified based on their support: simply supported, fixed, over hanging, double overhanging, continuous, cantilever, and trussed. A simply supported beam is supported at the ends and free to rotate with no moment resistance. A fixed beam is supported at both ends and restrained from rotating. A cantilever beam is fixed at only one end and projects from that end.

Types Of Beams, Supports & Loads by Mr. K.Satish Poojith Reddy

By the end of this presentation you will be able to identify different types of Beams, supports and loads which are seen commonly in this world
Note: There is also background voice for this presentation which give brief explanation about every slide, for activating audio I think you need to download this presentation

Simply supported beams

simple supported beams with shear force and bending moments diagrams, different types of loading conditions, everyday scenarios of simply supported beams, advantages and disadvantages of simple supported beams

Simple supported beam

A simply supported beam is:
1. Supported at both ends, with one end having a pinned support and the other a rolling support.
2. Subject to shearing and bending forces from loads.
3. Must satisfy three principles of equilibrium - the sum of vertical forces, horizontal forces, and moments must equal zero.

Types of beams

This presentation helps in understanding the basic concepts of types of beams and their various applications.

Types of supports in structures

This document discusses three common types of supports in structures: roller supports, fixed supports, and pinned supports. Roller supports can resist vertical forces but not horizontal forces. Fixed supports are the most rigid and constrain movement in all directions. Pinned supports allow rotation but not translation, similar to a hinge. Each type has different applications and limitations depending on the structural needs.

Column design1

This document provides an overview of reinforced concrete columns. It defines columns and discusses different types, including tied columns and spirally reinforced columns. It covers load transfer from beams and slabs to columns. Short and slender columns are defined based on their strength considerations. Buckling and its causes are explained. The document outlines design requirements for columns from the ACI code, including minimum reinforcement, clearances, tie and spiral specifications. Strength equations for short axially loaded columns are presented.

Module 4 flexural stresses- theory of bending

This document provides an overview of flexural stresses and the theory of simple bending. It discusses key concepts such as:
- Assumptions in the derivation of the bending equation relating bending moment (M) to curvature (1/R) and stress (f)
- Determining the neutral axis where bending stress is zero
- Calculating bending stresses in beams undergoing simple bending and pure bending
- Deriving Bernoulli's bending equation relating stress (f) to distance from the neutral axis (y) and bending moment (M)
- Using the bending equation to locate the neutral axis and design beam cross-sections based on permissible stresses
Worked examples are provided to illustrate calculating load capacity based on beam geometry and material properties

Beams prob

This document provides problems and solutions for determining support reactions of different beam configurations, including simply supported beams, overhanging beams, cantilever beams, compound beams, and beams modeled as structural bents. Problem 4 gives the solution for a simply supported beam under various loads, with the support reactions found to be Va = 76.58 kN and Re = 107.06 kN. Problems 6 through 10 cover overhanging beams, problems 11 and 12 address cantilever beams, and problems 13 through 16 cover compound beams and structural bents. The document introduces the concept of virtual work and provides examples of its use in determining support reactions in problems 17 through 19.

Shear force and bending moment

The document discusses beams, which are horizontal structural members that support applied loads. It defines applied and reactive forces, and describes different types of supports including roller, hinge, and fixed supports. It then defines and describes different types of beams, including cantilever, simply supported, overhanging, fixed, and continuous beams. It also discusses types of loads, including concentrated and distributed loads, and how beams experience both bending and shear forces from loads.

Stucture design -I (Bending Moment & Shear Force)

This document discusses different types of beams and their end conditions, including cantilever beams, simply supported beams, overhanging beams, fixed beams, and continuous beams. It also describes bending moment and shear force, explaining that bending moment is the resultant moment of all forces on one side of a beam section, while shear force is the algebraic sum of vertical forces on one side. The document provides definitions and examples of how to draw bending moment and shear force diagrams.

Column design biaxial 10.01.03.048

This document presents information on the design of columns subject to biaxial bending and axial compression. It defines a column as a structural member that transmits compressive forces from above to below. Biaxial bending occurs when a column is subjected to bending about two perpendicular axes simultaneously, such as at building corners. The document discusses and illustrates the biaxial bending method, equivalent eccentricity, interaction diagrams, and three methods for analyzing biaxial bending: load contour, reciprocal load, and computer analysis. It provides an example of checking the adequacy of a reinforced concrete column design using the reciprocal load and load contour methods.

Module 3 SFD &BMD PART-1

Mr. Akash provides a 3-page document summarizing bending moment and shear force diagrams for various beam types including cantilevers, simply supported beams, overhanging beams, and continuous beams. The document defines key terms like shear force, bending moment, point load, uniformly distributed load, and point of contraflexure. It then provides examples of calculating reactions, shear forces, and bending moments for each beam type under different loading conditions such as a point load, uniform load, or varying load. Diagrams are included to illustrate the variations in shear force and bending moment.

Mechanics of solids 21306003

This document discusses different types of beams and loading conditions used in structural analysis. It defines dead load as the self-weight of building components and live load as external loads on a structure, which can be uniform, varying, or concentrated. Common beam types are described as simply supported, fixed, cantilever, continuous, and overhanging. Load types include concentrated, uniform distributed, uniformly varying, and applied couples. Shear force and bending moment are defined as the algebraic sum of vertical forces and moments acting on a beam cross section. Stress resultants in determinate beams can be calculated from equilibrium equations.

Bending moment stress

This document discusses bending moment stress, including uniaxial and biaxial bending stress. It defines bending as causing deflection from a straight line, and bending moment as a measure of bending force applied at a distance from a beam's neutral axis. Bending moment stress induces tension or compression in a bent body. Examples show calculations for uniaxial 3-point and 4-point bending stresses, as well as an example of biaxial bending stress distribution and the line of zero stress in a loaded block.

Columns

This document discusses different types of columns used in construction. It defines a column as a structural member subjected to compressive axial loads. Columns are classified as long, short, or intermediate based on their length-to-minimum radius of gyration ratio. Long columns have a ratio greater than 50, short columns less than 15-50, and intermediate between 30-100. The document provides examples of column types and discusses effective length, radius of gyration, buckling load, and Euler's formula for calculating crippling load.

Module-4 Notes.pdf

1. Shear force and bending moment diagrams are analytical tools used to determine the shear force and bending moment values at different points along a beam under loading. These diagrams help with structural design and analysis.
2. The document discusses different types of beams, loads, and support conditions. It provides examples of calculating and drawing shear force and bending moment diagrams for beams with various loading scenarios, including cantilever beams with point loads, simply supported beams with point loads, and overhanging beams with uniform loads.
3. Key steps in drawing the diagrams are outlined, such as using consistent scaling, labeling principal values, and showing sign conventions clearly. The variation in shear force and bending moment is also summarized for different load types

Unit 5 - deflection of beams and columns

1) The document discusses various methods for calculating beam deflections, including double integration, Macaulay's method, and moment area methods.
2) It also covers columns, struts, and the different types of column structures. The slenderness ratio and effective length are important parameters for columns.
3) Short columns fail due to crushing while long columns fail due to bending or buckling. The crippling or buckling load is also discussed.

Structural analysis and design Basics

This document discusses various topics related to structural analysis and design including:
1. Structural mechanics enables determining forces on members based on loads on the whole structure. Stresses and deformations can then be obtained.
2. Structures can be categorized based on function, form, analysis perspective, and type of loads. Different types of loads include concentrated, distributed, uniform, and varying loads.
3. Key concepts in structural analysis are shear force, bending moment, and deflected shapes. Shear force and bending moment are calculated at cross sections and deflected shapes show beam deformation under loading.

L10 slope deflection method for the analysis of indeterminate

The slope deflection method is used to analyze indeterminate structures. It uses the principle of superposition to consider the moments developed at each support of a continuous beam due to applied loads and displacements. The method establishes load-displacement relationships and develops slope-deflection equations to solve for member forces and displacements. Key steps include assuming fixed ends to determine initial end moments, releasing one end to calculate its moment-rotation relationship, and developing equations relating member end moments to nodal displacements.

BIAXIAL COLUMN DESIGN

This document discusses the design of biaxially loaded columns. It defines a biaxially loaded column as one where axial load acts with eccentricities about both principal axes, causing bending in two directions. Several methods for analyzing and designing biaxially loaded columns are presented, including the load contour method, reciprocal load method, strain compatibility method, and equivalent eccentricity method. An example problem demonstrates using the reciprocal load method to check the adequacy of a trial reinforced concrete column design subjected to biaxial bending.

10.01.03.034

This document discusses bending moment stress, which is the internal stress caused by bending moments in a beam. It defines bending moment stress and provides the formula to calculate it based on the moment acting, distance from the neutral axis, and moment of inertia. It also discusses uniaxial bending stress, which acts in one direction, and biaxial bending stress, which acts in two directions. Examples of each type are provided to illustrate stress distribution under different loading conditions.

module 3 (Mechanics)

The document provides information about mechanics of solids-I, including:
1) It describes different types of supports like simple supports, roller supports, pin-joint supports, and fixed supports. It also describes different types of loads like concentrated loads, uniformly distributed loads, and uniformly varying loads.
2) It discusses shear force as the unbalanced vertical force on one side of a beam section, and bending moment as the sum of moments about a section.
3) It explains the relationship between loading (w), shear force (F), and bending moment (M) for an element of a beam. The rate of change of shear force is equal to the loading intensity, and the rate of change of bending

Beams Introduction

This document discusses different types of beams and how to calculate support reactions for various beam configurations. It defines beams as structural members subjected to lateral loads perpendicular to the axis. The main types of beams covered are simply supported, cantilever, overhanging, continuous, and propped cantilever beams. It provides examples of calculating the support reactions of simply supported, cantilever, and continuous beams using free body diagrams and the equations of static equilibrium. The document emphasizes that finding support reactions is the first step in beam analysis and allows determining the internal shear forces and bending moments.

Simply supported beams

simple supported beams with shear force and bending moments diagrams, different types of loading conditions, everyday scenarios of simply supported beams, advantages and disadvantages of simple supported beams

Simple supported beam

A simply supported beam is:
1. Supported at both ends, with one end having a pinned support and the other a rolling support.
2. Subject to shearing and bending forces from loads.
3. Must satisfy three principles of equilibrium - the sum of vertical forces, horizontal forces, and moments must equal zero.

Types of beams

This presentation helps in understanding the basic concepts of types of beams and their various applications.

Types of supports in structures

This document discusses three common types of supports in structures: roller supports, fixed supports, and pinned supports. Roller supports can resist vertical forces but not horizontal forces. Fixed supports are the most rigid and constrain movement in all directions. Pinned supports allow rotation but not translation, similar to a hinge. Each type has different applications and limitations depending on the structural needs.

Column design1

This document provides an overview of reinforced concrete columns. It defines columns and discusses different types, including tied columns and spirally reinforced columns. It covers load transfer from beams and slabs to columns. Short and slender columns are defined based on their strength considerations. Buckling and its causes are explained. The document outlines design requirements for columns from the ACI code, including minimum reinforcement, clearances, tie and spiral specifications. Strength equations for short axially loaded columns are presented.

Module 4 flexural stresses- theory of bending

This document provides an overview of flexural stresses and the theory of simple bending. It discusses key concepts such as:
- Assumptions in the derivation of the bending equation relating bending moment (M) to curvature (1/R) and stress (f)
- Determining the neutral axis where bending stress is zero
- Calculating bending stresses in beams undergoing simple bending and pure bending
- Deriving Bernoulli's bending equation relating stress (f) to distance from the neutral axis (y) and bending moment (M)
- Using the bending equation to locate the neutral axis and design beam cross-sections based on permissible stresses
Worked examples are provided to illustrate calculating load capacity based on beam geometry and material properties

Beams prob

This document provides problems and solutions for determining support reactions of different beam configurations, including simply supported beams, overhanging beams, cantilever beams, compound beams, and beams modeled as structural bents. Problem 4 gives the solution for a simply supported beam under various loads, with the support reactions found to be Va = 76.58 kN and Re = 107.06 kN. Problems 6 through 10 cover overhanging beams, problems 11 and 12 address cantilever beams, and problems 13 through 16 cover compound beams and structural bents. The document introduces the concept of virtual work and provides examples of its use in determining support reactions in problems 17 through 19.

Shear force and bending moment

The document discusses beams, which are horizontal structural members that support applied loads. It defines applied and reactive forces, and describes different types of supports including roller, hinge, and fixed supports. It then defines and describes different types of beams, including cantilever, simply supported, overhanging, fixed, and continuous beams. It also discusses types of loads, including concentrated and distributed loads, and how beams experience both bending and shear forces from loads.

Stucture design -I (Bending Moment & Shear Force)

This document discusses different types of beams and their end conditions, including cantilever beams, simply supported beams, overhanging beams, fixed beams, and continuous beams. It also describes bending moment and shear force, explaining that bending moment is the resultant moment of all forces on one side of a beam section, while shear force is the algebraic sum of vertical forces on one side. The document provides definitions and examples of how to draw bending moment and shear force diagrams.

Column design biaxial 10.01.03.048

This document presents information on the design of columns subject to biaxial bending and axial compression. It defines a column as a structural member that transmits compressive forces from above to below. Biaxial bending occurs when a column is subjected to bending about two perpendicular axes simultaneously, such as at building corners. The document discusses and illustrates the biaxial bending method, equivalent eccentricity, interaction diagrams, and three methods for analyzing biaxial bending: load contour, reciprocal load, and computer analysis. It provides an example of checking the adequacy of a reinforced concrete column design using the reciprocal load and load contour methods.

Module 3 SFD &BMD PART-1

Mr. Akash provides a 3-page document summarizing bending moment and shear force diagrams for various beam types including cantilevers, simply supported beams, overhanging beams, and continuous beams. The document defines key terms like shear force, bending moment, point load, uniformly distributed load, and point of contraflexure. It then provides examples of calculating reactions, shear forces, and bending moments for each beam type under different loading conditions such as a point load, uniform load, or varying load. Diagrams are included to illustrate the variations in shear force and bending moment.

Mechanics of solids 21306003

This document discusses different types of beams and loading conditions used in structural analysis. It defines dead load as the self-weight of building components and live load as external loads on a structure, which can be uniform, varying, or concentrated. Common beam types are described as simply supported, fixed, cantilever, continuous, and overhanging. Load types include concentrated, uniform distributed, uniformly varying, and applied couples. Shear force and bending moment are defined as the algebraic sum of vertical forces and moments acting on a beam cross section. Stress resultants in determinate beams can be calculated from equilibrium equations.

Bending moment stress

This document discusses bending moment stress, including uniaxial and biaxial bending stress. It defines bending as causing deflection from a straight line, and bending moment as a measure of bending force applied at a distance from a beam's neutral axis. Bending moment stress induces tension or compression in a bent body. Examples show calculations for uniaxial 3-point and 4-point bending stresses, as well as an example of biaxial bending stress distribution and the line of zero stress in a loaded block.

Columns

This document discusses different types of columns used in construction. It defines a column as a structural member subjected to compressive axial loads. Columns are classified as long, short, or intermediate based on their length-to-minimum radius of gyration ratio. Long columns have a ratio greater than 50, short columns less than 15-50, and intermediate between 30-100. The document provides examples of column types and discusses effective length, radius of gyration, buckling load, and Euler's formula for calculating crippling load.

Module-4 Notes.pdf

1. Shear force and bending moment diagrams are analytical tools used to determine the shear force and bending moment values at different points along a beam under loading. These diagrams help with structural design and analysis.
2. The document discusses different types of beams, loads, and support conditions. It provides examples of calculating and drawing shear force and bending moment diagrams for beams with various loading scenarios, including cantilever beams with point loads, simply supported beams with point loads, and overhanging beams with uniform loads.
3. Key steps in drawing the diagrams are outlined, such as using consistent scaling, labeling principal values, and showing sign conventions clearly. The variation in shear force and bending moment is also summarized for different load types

Unit 5 - deflection of beams and columns

1) The document discusses various methods for calculating beam deflections, including double integration, Macaulay's method, and moment area methods.
2) It also covers columns, struts, and the different types of column structures. The slenderness ratio and effective length are important parameters for columns.
3) Short columns fail due to crushing while long columns fail due to bending or buckling. The crippling or buckling load is also discussed.

Structural analysis and design Basics

This document discusses various topics related to structural analysis and design including:
1. Structural mechanics enables determining forces on members based on loads on the whole structure. Stresses and deformations can then be obtained.
2. Structures can be categorized based on function, form, analysis perspective, and type of loads. Different types of loads include concentrated, distributed, uniform, and varying loads.
3. Key concepts in structural analysis are shear force, bending moment, and deflected shapes. Shear force and bending moment are calculated at cross sections and deflected shapes show beam deformation under loading.

L10 slope deflection method for the analysis of indeterminate

The slope deflection method is used to analyze indeterminate structures. It uses the principle of superposition to consider the moments developed at each support of a continuous beam due to applied loads and displacements. The method establishes load-displacement relationships and develops slope-deflection equations to solve for member forces and displacements. Key steps include assuming fixed ends to determine initial end moments, releasing one end to calculate its moment-rotation relationship, and developing equations relating member end moments to nodal displacements.

BIAXIAL COLUMN DESIGN

This document discusses the design of biaxially loaded columns. It defines a biaxially loaded column as one where axial load acts with eccentricities about both principal axes, causing bending in two directions. Several methods for analyzing and designing biaxially loaded columns are presented, including the load contour method, reciprocal load method, strain compatibility method, and equivalent eccentricity method. An example problem demonstrates using the reciprocal load method to check the adequacy of a trial reinforced concrete column design subjected to biaxial bending.

10.01.03.034

This document discusses bending moment stress, which is the internal stress caused by bending moments in a beam. It defines bending moment stress and provides the formula to calculate it based on the moment acting, distance from the neutral axis, and moment of inertia. It also discusses uniaxial bending stress, which acts in one direction, and biaxial bending stress, which acts in two directions. Examples of each type are provided to illustrate stress distribution under different loading conditions.

Simply supported beams

Simply supported beams

Simple supported beam

Simple supported beam

Types of beams

Types of beams

Types of supports in structures

Types of supports in structures

Column design1

Column design1

Module 4 flexural stresses- theory of bending

Module 4 flexural stresses- theory of bending

Beams prob

Beams prob

Shear force and bending moment

Shear force and bending moment

Stucture design -I (Bending Moment & Shear Force)

Stucture design -I (Bending Moment & Shear Force)

Column design biaxial 10.01.03.048

Column design biaxial 10.01.03.048

Module 3 SFD &BMD PART-1

Module 3 SFD &BMD PART-1

Mechanics of solids 21306003

Mechanics of solids 21306003

Bending moment stress

Bending moment stress

Columns

Columns

Module-4 Notes.pdf

Module-4 Notes.pdf

Unit 5 - deflection of beams and columns

Unit 5 - deflection of beams and columns

Structural analysis and design Basics

Structural analysis and design Basics

L10 slope deflection method for the analysis of indeterminate

L10 slope deflection method for the analysis of indeterminate

BIAXIAL COLUMN DESIGN

BIAXIAL COLUMN DESIGN

10.01.03.034

10.01.03.034

module 3 (Mechanics)

The document provides information about mechanics of solids-I, including:
1) It describes different types of supports like simple supports, roller supports, pin-joint supports, and fixed supports. It also describes different types of loads like concentrated loads, uniformly distributed loads, and uniformly varying loads.
2) It discusses shear force as the unbalanced vertical force on one side of a beam section, and bending moment as the sum of moments about a section.
3) It explains the relationship between loading (w), shear force (F), and bending moment (M) for an element of a beam. The rate of change of shear force is equal to the loading intensity, and the rate of change of bending

Beams Introduction

This document discusses different types of beams and how to calculate support reactions for various beam configurations. It defines beams as structural members subjected to lateral loads perpendicular to the axis. The main types of beams covered are simply supported, cantilever, overhanging, continuous, and propped cantilever beams. It provides examples of calculating the support reactions of simply supported, cantilever, and continuous beams using free body diagrams and the equations of static equilibrium. The document emphasizes that finding support reactions is the first step in beam analysis and allows determining the internal shear forces and bending moments.

SFD-BMD.ppt 2 for lecture mechanical engg

lecture mechanical engg

Forces acting on the beam with shear force & bending moment

The document discusses different types of beams and how to analyze the shear forces and bending moments in beams. It defines beams as structural members subjected to lateral loads and describes various types of beams based on their support conditions, including simply supported beams, cantilever beams, and continuous beams. It also covers types of loads beams may experience, such as concentrated loads, distributed loads, and couples. The document then explains how to determine the shear forces and bending moments in beams by using cut sections and equilibrium equations. It provides examples of analyzing shear forces and bending moments in beams with different load conditions.

chapter 2 Flexural and Shearing Stresses .pptx

Flexural
and
Shearing Stresses

Engineering Mechanics First Year

This document discusses concepts related to static equilibrium of rigid bodies, including:
- Conditions for static equilibrium are that the net force and net torque on the body are both zero
- Free body diagrams show all forces acting on a body in isolation from its surroundings
- Types of supports include hinges, rollers, fixed supports, and smooth surfaces
- Equilibrium of two-force and three-force bodies follow specific rules
- Lami's theorem relates the magnitudes of three concurrent forces in equilibrium
- An equilibrant force can balance an unbalanced system and bring it into equilibrium

Coplanar forces equilibrium

This document discusses concepts related to static equilibrium of rigid bodies, including:
- Conditions for static equilibrium are that the net force and net moment are both zero
- Free body diagrams show all forces acting on a body in isolation
- Types of supports (fixed, hinge, roller) and the reactions they provide are described
- Concepts like two-force and three-force members, Lami's theorem, and finding equilibrant forces to balance unbalanced systems are explained
- Several example problems are provided to illustrate applying concepts to determine reactions and tensions in static systems

3. coplanar forces equilibrium

Learn Online Courses of Subject Engineering Mechanics of First Year Engineering. Clear the Concepts of Engineering Mechanics Through Video Lectures and PDF Notes. Visit us: https://ekeeda.com/streamdetails/subject/Engineering-Mechanics

2. Modifed Shear Force and Bending Moment Diagrams.pptx

History of group technology, role of G.T in CAD/CAM integration, part families,

Chapter 5: Axial Force, Shear, and Bending Moment

1. A beam can experience three internal forces at a section - axial force, shear, and bending moment. Even for planar beams, all three forces may develop.
2. There are three types of supports - roller/link, pin, and fixed. Roller/link supports resist one force, pin supports resist two forces, and fixed supports resist two forces and a moment.
3. Beams can experience different load types - concentrated, uniform distributed, and varying distributed loads. Methods are presented to calculate the shear, axial, and bending effects of these loads on beams.

Equilibrium

This document discusses the topic of equilibrium of rigid bodies. It covers:
- Analytical and graphical conditions for equilibrium of co-planar forces.
- Different types of beam supports like simple, pinned, roller, and fixed supports.
- Free body diagrams and their application in analyzing equilibrium and determining reactions.
- Lami's theorem which states that for three forces in equilibrium, each force is proportional to the sine of the angle between the other two forces.
- Examples of problems involving cylinders, pulleys, beams, and friction on inclined planes.

B Ending Moments And Shearing Forces In Beams2

This document discusses bending moments and shear forces in beams. It defines different types of beams such as simply supported beams, cantilever beams, and beams with overhangs. It also defines types of loads like concentrated loads, distributed loads, and couples. It explains how to calculate the shear force and bending moment at any cross-section of a beam and discusses relationships between loads, shear forces and bending moments. It provides examples of drawing shear force and bending moment diagrams. Finally, it discusses bending stresses in beams and bending of beams made of two materials.

Bendingmomentsandshearingforcesinbeams2 100114165451-phpapp01

This document discusses bending moments and shear forces in beams. It defines different types of beams such as simply supported beams, cantilever beams, and beams with overhangs. It also defines types of loads like concentrated loads, distributed loads, and couples. It explains how to calculate the shear force and bending moment at any cross-section of a beam and discusses relationships between loads, shear forces and bending moments. It provides examples of drawing shear force and bending moment diagrams. Finally, it discusses bending stresses in beams and bending of beams made of two materials.

B Ending Moments And Shearing Forces In Beams2

This document discusses bending moments and shear forces in beams. It defines different types of beams such as simply supported beams, cantilever beams, and beams with overhangs. It also defines types of loads like concentrated loads, distributed loads, and couples. It explains how to calculate the shear force and bending moment at any cross-section of a beam and discusses relationships between loads, shear forces and bending moments. It provides examples of drawing shear force and bending moment diagrams. Finally, it discusses bending stresses in beams and bending of beams made of two materials.

Shear and Bending Moment in BeamsThis document discusses bending moments and shear forces in beams. It defines different types of beams such as simply supported beams, cantilever beams, and beams with overhangs. It also defines types of loads like concentrated loads, distributed loads, and couples. It explains how to calculate the shear force and bending moment at any cross-section of a beam and discusses relationships between loads, shear forces and bending moments. It provides examples of drawing shear force and bending moment diagrams. Finally, it discusses bending stresses in beams and bending of beams made of two materials.

Momento en estructuras

This document discusses basic principles of statics, which is the branch of mechanics dealing with stationary bodies under forces. It defines static equilibrium as when the sum of all forces and moments equals zero. It also discusses concepts such as static determinacy, types of forces including vectors and their addition, resolution of forces, concurrent forces, and free-body diagrams. Examples are provided to demonstrate how to determine reactions and tensions using these principles.

Mechanical principles and applications pres

The document discusses calculating reactions to loads applied to beams. It begins by defining key terms like beams, loads, forces, and equilibrium. It explains that reactions must be calculated to balance applied loads and achieve static equilibrium. The document then provides examples of calculating reactions on simple beams using free body diagrams and the principles of moment and force equilibrium. Reactions are found by taking moments and forces around supports and setting equations equal to zero.

Unit ii equilibrium of rigid bodies

1. A free body diagram shows the forces and moments acting on an isolated body. A force couple system can replace a single force with an equal force and couple at another point.
2. A couple is a pair of two equal and unlike parallel forces that tends to rotate a body. Varignon's theorem states the sum of the moments of all forces about a point equals the moment of their resultant about that point.
3. Supports include roller, hinged, and fixed. Equations of equilibrium in 2D are the sum of horizontal forces equals zero, the sum of vertical forces equals zero, and the sum of moments equals zero.

chapter 3 Ext..pdf

This document discusses transverse loading on beams. It defines different types of beam supports including simple, fixed, overhanging, continuous, and cantilever. It also describes different types of loads acting on beams such as concentrated, uniform, uniformly varying, and moment loads. It provides conventions for determining the sign of shear forces and bending moments on beams. Examples are given to demonstrate calculating shear forces and bending moments at different points on beams subjected to various load configurations.

module 3 (Mechanics)

module 3 (Mechanics)

Beams Introduction

Beams Introduction

SFD-BMD.ppt 2 for lecture mechanical engg

SFD-BMD.ppt 2 for lecture mechanical engg

Forces acting on the beam with shear force & bending moment

Forces acting on the beam with shear force & bending moment

chapter 2 Flexural and Shearing Stresses .pptx

chapter 2 Flexural and Shearing Stresses .pptx

Engineering Mechanics First Year

Engineering Mechanics First Year

Coplanar forces equilibrium

Coplanar forces equilibrium

3. coplanar forces equilibrium

3. coplanar forces equilibrium

Forces 7

Forces 7

2. Modifed Shear Force and Bending Moment Diagrams.pptx

2. Modifed Shear Force and Bending Moment Diagrams.pptx

Chapter 5: Axial Force, Shear, and Bending Moment

Chapter 5: Axial Force, Shear, and Bending Moment

Equilibrium

Equilibrium

B Ending Moments And Shearing Forces In Beams2

B Ending Moments And Shearing Forces In Beams2

Bendingmomentsandshearingforcesinbeams2 100114165451-phpapp01

Bendingmomentsandshearingforcesinbeams2 100114165451-phpapp01

B Ending Moments And Shearing Forces In Beams2

B Ending Moments And Shearing Forces In Beams2

Shear and Bending Moment in Beams

Shear and Bending Moment in Beams

Momento en estructuras

Momento en estructuras

Mechanical principles and applications pres

Mechanical principles and applications pres

Unit ii equilibrium of rigid bodies

Unit ii equilibrium of rigid bodies

chapter 3 Ext..pdf

chapter 3 Ext..pdf

Transportation engineering

This document provides an overview of transportation engineering and related topics through a presentation. It begins with an introduction to various modes of transportation including roads, bridges, railways, airports, docks and harbors. It then provides a question bank with sample questions on these topics from previous years. The document concludes by providing detailed answers to some of the sample questions, covering areas like classifications of roads and transportation, structures of roads, and short notes on specific road types.

Chapter wise question papers_bce

This document contains a question bank for the Basic Civil Engineering subject divided into 9 units. Each unit contains 6 questions related to topics within that unit. The questions range from 3-10 marks and cover topics such as sub-branches of civil engineering, surveying, remote sensing, dams, roads, building construction principles, materials, and steel structures. This question bank can be used to prepare for exams on basic civil engineering concepts and their applications.

Design of staircase_practical_example

The document provides design details for staircases on three floors of a building, including dimensions, load calculations, and reinforcement details. Load calculations are performed to determine bending moments and shear forces. Reinforcement area, bar diameter, and spacing are calculated for the waist slabs of each staircase to resist the determined bending moment and satisfy code requirements for minimum steel and shear capacity.

Presentation "Use of coupler Splices for Reinforcement"

This document presents a summary of a presentation on the use of coupler splices for reinforcement. The presentation includes an introduction to coupler splices, a literature review on the topic, details on the experimental procedure used to test coupler splices, a cost analysis comparing coupler splices to lap splices, and conclusions. The experimental results show that coupler splices performed better than lap splices and welded splices in tensile loading tests. A cost analysis also determined that coupler splices provide significant cost savings over lap splices by reducing the amount of reinforcement required. The conclusion is that coupler splices are an effective and economic replacement for lap splices in reinforcement.

Guidelines_for_building_design

This document provides guidelines for the design of reinforced concrete structures in buildings according to the limit state method. It outlines the general process for building design which includes studying architectural drawings and field data, preparing reinforced concrete layouts, analyzing structural frames, and designing columns, beams, slabs, and footings. Computer programs like STAAD and in-house software are used to aid in analysis and design. Designers are advised to be familiar with relevant Indian code provisions and follow the guidelines to independently complete reinforced concrete designs for buildings.

Strength of materials_I

This document provides an introduction to strength of materials, including concepts of stress, strain, Hooke's law, stress-strain relationships, elastic constants, and factors of safety. It defines key terms like stress, strain, elastic limit, modulus of elasticity, and ductile and brittle material behavior. Examples of stress and strain calculations are provided for basic structural elements like rods, bars, and composite structures. The document also covers compound bars, principle of superposition, and effects of temperature changes.

Presentation_on_Cellwise_Braced_frames

This presentation discusses the seismic response of cellwise concentrically braced frames. It introduces cellwise braced frames as a structural system that provides lateral stability through bracing elements arranged in cells within each bay. The document describes a study that analyzed 5 bay, 12 story reinforced concrete frames with different bracing configurations, including single-cell, two-cell, and three-cell arrangements. The study found that single-cell A-braced frames provided the highest material cost savings of up to 9.59% compared to bare frames. Two-cell and three-cell configurations further improved cost savings but required additional bracing. Overall, the study shows that optimally arranged cellwise braced frames produce a stiff, strong and econom

Study of MORT_&_H

The document provides an overview of the Ministry of Road Transport and Highways (MoRTH) in India. It discusses the ministry's role in formulating policies and regulations related to road transport. It outlines the ministry's history and organizational structure. It also summarizes some of the key specifications issued by MoRTH related to road and bridge construction, including specifications for earthworks, pavement layers, drainage, and other aspects of road projects. The document thus provides a high-level introduction to MoRTH and the specifications it issues for road development and transport in India.

List of various_IRCs_&_sps

The Indian Road Congress (IRC) was established in 1934 on the recommendations of the Jayakar Committee to oversee road development in India. It is the apex body for highway engineers and professionals. IRC has over 16,700 members from both public and private sector organizations involved in roads. It aims to promote standard specifications and best practices for road and bridge construction through various technical committees. It has published over 100 codes of practice and guidelines and oversees research activities through its Highway Research Board.

Analysis of multi storey building frames subjected to gravity and seismic loa...

This document summarizes a study on the seismic response of reinforced concrete frames with varying numbers of bays and storeys. Three frame configurations - 3 bay, 5 bay, and 7 bay with 9 stories each - were modeled and analyzed under gravity and seismic loads. Both prismatic frames and frames with non-prismatic elements like stepped beams and haunches at beam-column joints were considered. The effects of variables like haunch size, beam inertia, and live load patterns on internal forces and storey drift were examined. Key results showed that non-prismatic elements can reduce bending moments and axial forces compared to conventional prismatic frames.

Seismic response of _reinforced_concrete_concentrically_a_braced_frames

This document discusses the seismic response of reinforced concrete concentrically braced frames. It analyzes numerically various bracing patterns for a 5-bay 12-story building, including bare frames, fully braced frames, and partially braced frames with bracing applied at the bay-level or level-wise. Optimum bracing patterns are identified that reduce internal forces in columns and provide economic savings compared to bare frames or fully braced frames. Graphs show variations in axial, shear and bending forces for different bracing patterns, identifying patterns that fall within acceptable ranges. Savings of up to 7.87% are achieved with the optimum bracing patterns.

Use of mechanical_splices_for_reinforcing_steel

The document discusses the use of mechanical splices (couplers) as an alternative to traditional lap splicing for reinforcing steel. It provides details on different types of couplers, including threaded couplers. Experimental testing showed that couplers achieved similar or higher yield and ultimate stresses as compared to normal and welded reinforcing bars. While ductility was slightly reduced, factors like epoxy injection and staggered splicing can improve ductility. A cost analysis found that couplers provide significant cost savings over lap splices due to reduced steel requirements. Therefore, the study concludes that mechanical splices are an effective and economic replacement for lap splices.

Guide lines bridge_design

This document provides guidelines for bridge design in the Public Works Department. It introduces the contents and chapters, which cover aspects of bridge design, components, innovative structures, preparation of bridge projects, and other topics. The guidelines are intended to help engineers understand the department's practices for bridge design. The second edition was revised with new chapters and information to aid both new and experienced engineers.

Dissertation report

This document presents the layout and introduction for a dissertation report on analyzing multi-storey partially braced frames subjected to seismic and gravity loads using V-braces. The layout includes sections on introduction, literature review, structural analysis methods, earthquake analysis methods, theoretical formulation, results and discussion, conclusion, and references. The introduction discusses the importance of tall structures and braced frames, noting advantages of braced frames include increased strength, stiffness, and reduced member sizes.

Seismic response of cellwise braced reinforced concrete frames

The document analyzes the seismic response of reinforced concrete frames with different patterns of reinforced concrete bracing. Numerical models of 5-bay, 12-story reinforced concrete frames were analyzed with different bracing configurations including bare frames, fully braced, partially braced, outrigger braced, and cellwise braced. The responses, including internal forces, displacements, and member sizes, were compared for each configuration. Optimal baywise and levelwise locations for bracing were identified based on producing smaller internal forces within acceptable ranges. Cellwise bracing was explored as a configuration that combines advantages of other patterns while allowing for clear openings.

Water Management

This document provides information about water management topics including sources of water, dams, canals, and irrigation methods. It discusses surface and underground water sources like ponds, lakes, rivers, wells, and tube wells. It describes different types of dams such as earth dams, rock-fill dams, gravity dams, and arch dams. Canals are described as the trenches that distribute water from reservoirs for irrigation. Various irrigation methods are outlined including flow irrigation, flood irrigation, storage irrigation, drip irrigation, and spray irrigation. Rainwater harvesting is introduced as a way to conserve water by collecting and filtering rainwater runoff and roof runoff to recharge underground water sources.

Chaper wise qpapers_bce

1. The document contains a question bank for the Basic Civil Engineering section covering topics like introduction to civil engineering, surveying, linear measurements, bearing, and leveling.
2. It includes 36 questions on surveying topics like chain surveying, compass surveying, and leveling with multiple parts and variations. Calculations and sketches are required to solve some questions.
3. The leveling questions provide staff readings and require entering data in a standard leveling table, calculating reduced levels using different methods, and applying arithmetic checks.

Basic Loads Cases

The document defines various types of loads that should be considered in structural analysis, including dead loads, live loads, wind loads, and earthquake loads. It provides details on how to apply these loads in both positive and negative directions of the X and Z axes. It also lists load combinations that should be analyzed according to Indian standards, including combinations for limit states of collapse and serviceability. The load combinations include factors for dead, live, wind, and earthquake loads.

Earthquake analysis by Response Spectrum Method

This document provides steps for performing an earthquake analysis using the response spectrum method in STAAD v8i. Key steps include:
1. Generating primary load cases for the X and Z directions using the specified code spectrum
2. Modeling dead and live loads
3. Obtaining support reactions for a load combination of dead + 0.25 live loads
4. Exporting the support reaction values to Excel tables
5. Importing the Excel tables back into STAAD as joint loads to apply the earthquake loads
6. Analyzing the structure with fixed supports instead of pin supports
The overall process applies earthquake loads to the structure using the response spectrum method and obtains the response of the structure under seismic loading

Earthquake analysis by psudeo static method

This document provides instructions for performing an earthquake analysis on a structure using the pseudo-static method in STAAD v8i. The steps include:
1. Defining the seismic parameters by adding a seismic definition and inputting values for the zone, response factor, importance factor, etc. based on IS 1893:2002.
2. Creating earthquake load cases in the X and Z directions and combining them with dead and live loads.
3. Assigning pin supports and obtaining support reactions for analysis.
4. Importing the support reaction values into Excel to create weight tables that are then input back into STAAD.
5. Removing the pin supports and assigning fixed supports at the foundation before running the full analysis

Transportation engineering

Transportation engineering

Chapter wise question papers_bce

Chapter wise question papers_bce

Design of staircase_practical_example

Design of staircase_practical_example

Presentation "Use of coupler Splices for Reinforcement"

Presentation "Use of coupler Splices for Reinforcement"

Guidelines_for_building_design

Guidelines_for_building_design

Strength of materials_I

Strength of materials_I

Presentation_on_Cellwise_Braced_frames

Presentation_on_Cellwise_Braced_frames

Study of MORT_&_H

Study of MORT_&_H

List of various_IRCs_&_sps

List of various_IRCs_&_sps

Analysis of multi storey building frames subjected to gravity and seismic loa...

Analysis of multi storey building frames subjected to gravity and seismic loa...

Seismic response of _reinforced_concrete_concentrically_a_braced_frames

Seismic response of _reinforced_concrete_concentrically_a_braced_frames

Use of mechanical_splices_for_reinforcing_steel

Use of mechanical_splices_for_reinforcing_steel

Guide lines bridge_design

Guide lines bridge_design

Dissertation report

Dissertation report

Seismic response of cellwise braced reinforced concrete frames

Seismic response of cellwise braced reinforced concrete frames

Water Management

Water Management

Chaper wise qpapers_bce

Chaper wise qpapers_bce

Basic Loads Cases

Basic Loads Cases

Earthquake analysis by Response Spectrum Method

Earthquake analysis by Response Spectrum Method

Earthquake analysis by psudeo static method

Earthquake analysis by psudeo static method

Call Girls Goa (india) ☎️ +91-7426014248 Goa Call Girl

Call Girls Goa (india) ☎️ +91-7426014248 Goa Call Girl

FULL STACK PROGRAMMING - Both Front End and Back End

This ppt gives details about Full Stack Programming and its basics.

DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...

The need for ecofriendly materials as building materials in this century cannot be overemphasized

Introduction to Computer Networks & OSI MODEL.ppt

Introduction to Computer Networks

Advancements in Automobile Engineering for Sustainable Development.pdf

Automobile engineering

Determination of Equivalent Circuit parameters and performance characteristic...

Includes the testing of induction motor to draw the circle diagram of induction motor with step wise procedure and calculation for the same. Also explains the working and application of Induction generator

Open Channel Flow: fluid flow with a free surface

Open Channel Flow: This topic focuses on fluid flow with a free surface, such as in rivers, canals, and drainage ditches. Key concepts include the classification of flow types (steady vs. unsteady, uniform vs. non-uniform), hydraulic radius, flow resistance, Manning's equation, critical flow conditions, and energy and momentum principles. It also covers flow measurement techniques, gradually varied flow analysis, and the design of open channels. Understanding these principles is vital for effective water resource management and engineering applications.

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...Paris Salesforce Developer Group

Build the Next Generation of Apps with the Einstein 1 Platform.
Rejoignez Philippe Ozil pour une session de workshops qui vous guidera à travers les détails de la plateforme Einstein 1, l'importance des données pour la création d'applications d'intelligence artificielle et les différents outils et technologies que Salesforce propose pour vous apporter tous les bénéfices de l'IA.3rd International Conference on Artificial Intelligence Advances (AIAD 2024)

3rd International Conference on Artificial Intelligence Advances (AIAD 2024) will act as a major forum for the presentation of innovative ideas, approaches, developments, and research projects in the area advanced Artificial Intelligence. It will also serve to facilitate the exchange of information between researchers and industry professionals to discuss the latest issues and advancement in the research area. Core areas of AI and advanced multi-disciplinary and its applications will be covered during the conferences.

Accident detection system project report.pdf

The Rapid growth of technology and infrastructure has made our lives easier. The
advent of technology has also increased the traffic hazards and the road accidents take place
frequently which causes huge loss of life and property because of the poor emergency facilities.
Many lives could have been saved if emergency service could get accident information and
reach in time. Our project will provide an optimum solution to this draw back. A piezo electric
sensor can be used as a crash or rollover detector of the vehicle during and after a crash. With
signals from a piezo electric sensor, a severe accident can be recognized. According to this
project when a vehicle meets with an accident immediately piezo electric sensor will detect the
signal or if a car rolls over. Then with the help of GSM module and GPS module, the location
will be sent to the emergency contact. Then after conforming the location necessary action will
be taken. If the person meets with a small accident or if there is no serious threat to anyone’s
life, then the alert message can be terminated by the driver by a switch provided in order to
avoid wasting the valuable time of the medical rescue team.

SENTIMENT ANALYSIS ON PPT AND Project template_.pptx

It is used for sentiment analysis project

Applications of artificial Intelligence in Mechanical Engineering.pdf

Historically, mechanical engineering has relied heavily on human expertise and empirical methods to solve complex problems. With the introduction of computer-aided design (CAD) and finite element analysis (FEA), the field took its first steps towards digitization. These tools allowed engineers to simulate and analyze mechanical systems with greater accuracy and efficiency. However, the sheer volume of data generated by modern engineering systems and the increasing complexity of these systems have necessitated more advanced analytical tools, paving the way for AI.
AI offers the capability to process vast amounts of data, identify patterns, and make predictions with a level of speed and accuracy unattainable by traditional methods. This has profound implications for mechanical engineering, enabling more efficient design processes, predictive maintenance strategies, and optimized manufacturing operations. AI-driven tools can learn from historical data, adapt to new information, and continuously improve their performance, making them invaluable in tackling the multifaceted challenges of modern mechanical engineering.

Call For Paper -3rd International Conference on Artificial Intelligence Advan...

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OOPS_Lab_Manual - programs using C++ programming language

This manual contains programs on object oriented programming concepts using C++ language.

Digital Twins Computer Networking Paper Presentation.pptx

A Digital Twin in computer networking is a virtual representation of a physical network, used to simulate, analyze, and optimize network performance and reliability. It leverages real-time data to enhance network management, predict issues, and improve decision-making processes.

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FUNDAMENTALS OF MECHANICAL ENGINEERING.pdf

EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES
EMERSON EDUARDO RODRIGUES

ITSM Integration with MuleSoft.pptx

ITSM Integration with mulesoft

comptia-security-sy0-701-exam-objectives-(5-0).pdf

Comptia security+

Call Girls Goa (india) ☎️ +91-7426014248 Goa Call Girl

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FULL STACK PROGRAMMING - Both Front End and Back End

FULL STACK PROGRAMMING - Both Front End and Back End

DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...

DESIGN AND MANUFACTURE OF CEILING BOARD USING SAWDUST AND WASTE CARTON MATERI...

Introduction to Computer Networks & OSI MODEL.ppt

Introduction to Computer Networks & OSI MODEL.ppt

Advancements in Automobile Engineering for Sustainable Development.pdf

Advancements in Automobile Engineering for Sustainable Development.pdf

Determination of Equivalent Circuit parameters and performance characteristic...

Determination of Equivalent Circuit parameters and performance characteristic...

Open Channel Flow: fluid flow with a free surface

Open Channel Flow: fluid flow with a free surface

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...

AI + Data Community Tour - Build the Next Generation of Apps with the Einstei...

3rd International Conference on Artificial Intelligence Advances (AIAD 2024)

3rd International Conference on Artificial Intelligence Advances (AIAD 2024)

Accident detection system project report.pdf

Accident detection system project report.pdf

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SENTIMENT ANALYSIS ON PPT AND Project template_.pptx

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Applications of artificial Intelligence in Mechanical Engineering.pdf

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Call For Paper -3rd International Conference on Artificial Intelligence Advan...

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OOPS_Lab_Manual - programs using C++ programming language

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Digital Twins Computer Networking Paper Presentation.pptx

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FUNDAMENTALS OF MECHANICAL ENGINEERING.pdf

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ITSM Integration with MuleSoft.pptx

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comptia-security-sy0-701-exam-objectives-(5-0).pdf

- 1. Chapter No. 3 Beam Page 1 CHAPTER No. 3 BEAMS AND SUPPORT REACTIONS CONTENT OF THE TOPIC: - Definition of statically determinate beam o Types of beam supports o Types of Beams o Type of Loading - Procedure To Find The Support Reactions Of Statically Determinate Beam - Compound beam - Concept of virtual work Definition of Beam: A beam is horizontal or inclined member carrying transverse or inclined loads and supported at ends or anywhere. It is a structural member for the frame or structures of steel or concrete which has one dimension (length) considerably larger than the other two dimensions. If support reactions can be determined by using the conditions of equilibrium only, then the beam is known as statically determinate beam. If support reactions cannot be determined by using the conditions of equilibrium only, then the beam is known as statically indeterminate beam. Definition of span: Centre to centre distance between the two end supports is called span. Types of beam supports: 1) Simple support: It is a theoretical case in which the ends of the beam are simply supported or rested over the supports. The reactions are always vertical as shown in Fig.1 below
- 2. Chapter No. 3 Beam Page 2 Fig.1 Simple Support It opposes downward movement but allows rotation and horizontal displacement or movement. 2) Pin or hinged Support: In such case, the ends of the beam are hinged or pinned to the support as shown in Fig.2 below. Fig.2 (A) Hinged Support Fig.2 (B) Hinged Support The reaction may be either vertical or inclined depending upon the type of loading. If the loads are vertical the reaction is vertical as shown in Fig. 2 (A) and when the applied loads are inclined the reaction is inclined as shown in Fig. 2 (B). The main advantage of hinged support is that the beam remains stable i.e. there is only rotational motion round the hinge but no translational motion of the beam i.e. hinged support opposes displacement of beam in any direction but allows rotation. 3) Roller Support: In such cases, the end of the beam is supported on roller as shown in Fig. 3 below. Fig. 3 Roller Support
- 3. Chapter No. 3 Beam Page 3 The reaction is always perpendicular to the surface on which rollers rest or act as shown in Fig. 3. The main advantage of the roller support is that, the support can move easily in the direction of expansion or contraction of the beam due to change in temperature in different seasons. 4) Fixed Support: It is also called as Built-in-supports. It is rigid type of support. The end of the beam is rigidly fixed in the wall as shown in Fig. 4 below. Fig. 4 Fixed Support It produces reactions Ra in any direction and a moment Ma as shown in Fig. 4 above. Types of Beams: The types of beam are depends upon the types of supports over which it will rest. 1) Simply Supported Beam: A beam supported or rested freely on the supports at its both ends is known as simply supported beam. Such beam can support load in the direction normal to its axis. The support reactions are always vertical (as shown in the Fig. 5 Ra and Rb). Fig. 5 Simply Supported Beam 2) Cantilever Beam: One end of the cantilever beam is rigidly fixed in the wall as shown in Fig. 6 below. Such supports are known as fixed support (as explained in above). It is a type of rigid support. It produces reactions Ra in any direction and a moment Ma as shown in Fig. 6.
- 4. Chapter No. 3 Beam Page 4 Fig. 6 Cantilever Beam 3) Overhang Beam: The beam is supported on hinged support and roller support. The beam has overhang on one end i.e. to the right or left of the beam and on both sides as shown in Fig. 7 below. Fig. 7 (a) Overhang Beam (overhang on both sides) Fig. 7 (b) Overhang Beam (to right) (c) Overhang Beam (to left) 4) Continuous Beam: Such beams are supported at more than two points as shown in Fig.8 below. It is also called as multi-span beam.
- 5. Chapter No. 3 Beam Page 5 Fig. 8 Continuous Beam Type of Loading: 1) Concentrated load or Point Load: A Concentrated load or Point Load is one which is considered to act at a point, as shown in Fig.9 below. Following Fig. 9 shows three concentrated forces F1, F2 and F3 acting on a simply supported beam. Fig. 9 Point Loads acting on the beam 2) Distributed loads: There are three types of distributed loads: a) Uniformly distributed Load b) Uniformly varying Load c) Non-Uniformly distributed Load a) Uniformly distributed Load: If a load which is spread over beam in such a manner that rate of loading ‘w’ is uniform along the length (i.e. for each unit length the magnitude of load is uniform) as shown in Fig.10 below. Fig. 10 uniformly distributed Load acting on the beam
- 6. Chapter No. 3 Beam Page 6 Note: If ‘w’ N/m is the Uniformly distributed Load on beam AB as shown in Fig. 11 above then the total load say (W=w x l) is acting at the midpoint say c as shown in Fig. 11 below. Fig. 11 Conversion of U.D.L. into Point Load b) Uniformly varying Load A Uniformly varying Load is one which is spread over a beam in such a manner that rate of loading varies from point to point along the length of the beam as shown in Fig. 12 below. Fig.12 Uniformly varying Load acting on the Beam For such loading it is zero at one end i.e. end A and increases uniformly at other end i.e. end B. Note: The equivalent Concentrated or point load for this case is the area of the triangle or average loading intensity multiplied by the length, which is acting at a distance of (2/3) l form A or (1/3) l from B of the support as shown in Fig. 13 below. Fig. 13 Conversion of U.V.L. into Point Load
- 7. Chapter No. 3 Beam Page 7 c) Non-Uniformly distributed Load If the load distributed on the beam is such that the load per unit length is not constant, then it is called as Non-Uniformly distributed Load. Different types of loading are shown in the Fig. 14 below Fig. 14 (a) Fig. 14 (b) Procedure To Find The Support Reactions Of Statically Determinate Beam If support reactions can be determined by using the conditions of equilibrium only, then the beam is known as statically determinate beam. If support reactions cannot be determined by using the conditions of equilibrium only, then the beam is known as statically indeterminate beam. 1) Such problems are treated as the problem to be a co-planar, non-con-current equilibrium force system. Following equilibrium conditions are used ∑M = 0, ∑Fy = 0, ∑Fx = 0 2) When the beam is simply supported, the reactions at the supports are vertically upwards.
- 8. Chapter No. 3 Beam Page 8 3) Taking summation of moments (either at A i.e. ∑MA or either at B i.e. ∑MB) of all given forces about any support, assuming the reaction at the other support as vertically upwards. Equating algebraic sum of these moments to zero i.e. ∑M = 0 and calculate unknown reaction RA or RB and then using equations ∑Fy = 0 find the reactions of the other support. 4) When one of the reaction as pinned or hinged and other support is on roller, the reaction at the roller support is always perpendicular to the roller line. Find the reaction at the roller support by taking moment of all the forces about hinge support and equate it to zero. 5) Then using equations ∑Fy = 0 and ∑Fx = 0 find the reactions at the hinge support. 6) To find the reaction at hinge support in magnitude and direction, use the equation R = √∑Fy 2 + ∑Fx2 And θ = tan -1 ( ∑Fy ∑Fx ) Concept of virtual work: 1) Consider a force (P) is acting on a body which get displaces through a distance (s) due to applied force. Then, Work done = Force X Displacement W = F.s 2) But if the body is in equilibrium, under the action of a system of forces, then the work done is zero. 3) If we assume that the body, which is in equilibrium, undergoes a small imaginary displacement (virtual displacement) some work will be imagined to be done. Such imaginary work is called as virtual work. This concept is useful to find out the unknown forces in the structures.
- 9. Chapter No. 3 Beam Page 9 Principle of virtual work: “ If system of forces acting on a body (or a system of bodies) be in equilibrium and the system to be imagined to undergo a small displacement consistent with the geometrical conditions, then the algebraic sum of the virtual works done by all the system is zero”. i.e. mathematically, ∑W = 0 Types of virtual work: 1) Linear virtual work: If a force (F) causes a displacement (virtual displacement) in its direction of line of action, then its virtual work is given as, WV = F x δ Sign convention: Upward forces are considered as positive, while downward forces are considered as negative QUESIONS 1. What are the different types of beam support? Explain the reactions exerted by each type of support.(4 Mks) or 2. What are the different types of supports? Indicate with neat sketch of reactions offered by them. 3. Explain the concept of virtual work? (3 Mks)