The document summarizes the design of a beam and slab. For the beam, key details include a width of 200 mm, depth of 600 mm, concrete grade of 20 MPa, steel grade of 415 MPa, and design as a singly reinforced beam. Reinforcement is provided to resist both tension and shear forces. For the slab, the thickness is 125 mm, concrete grade is 20 MPa, steel grade is 415 MPa, and reinforcement is provided based on one-way or two-way loading conditions and span ratios. Design calculations are shown to check that provided reinforcement meets code requirements.
The document is an Indian Standard that provides the dimensions, mass, and sectional properties of various hot rolled steel beam, column, channel, and angle sections. It includes tables that list the nominal dimensions, mass, and sectional properties like area, moments of inertia, radii of gyration, etc. of different beam sections classified as Indian Standard medium flange beams.
This document discusses calculating deflections in statically indeterminate trusses. It provides an example of calculating the deflection at point E in a pin-jointed truss subjected to a load P by drawing the free body diagram, analyzing bar forces, determining individual bar deflections, constructing a deflection diagram, and calculating the total horizontal and vertical displacement. It also discusses how statically indeterminate trusses can be analyzed by setting up simultaneous equations involving unknown reactions and forces, using compatibility conditions from known displacements, and employing techniques like superposition and symmetry.
This document summarizes the design of a raft foundation for a given structure. Key details include:
- The raft is divided into three strips (C-C, B-B, A-A) in the x-direction based on soil pressure.
- Maximum soil pressure is 60.547 kN/m^2 and maximum bending moment is 445.02 kNm.
- The required raft depth is determined to be 860 mm to resist bending and punching shear.
- Longitudinal and transverse reinforcement of 20 mm bars at 200 mm and 220 mm centers respectively are designed.
This document provides an overview of reinforced concrete slab bridge design. It discusses the types of reinforced concrete bridges, including slab, beam and slab, arch, box girder, cable-stayed, and integral bridges. It also outlines the loads that must be considered in slab bridge design, including truck, other roadway, sidewalk, and impact loads. Finally, it details the design steps for slab and edge beam components, including calculating bending moments from dead and live loads, determining the effective depth, area of main and distributed reinforcement, and designing the edge beam reinforcement.
This document discusses the design of column base plates and steel anchorage to concrete. It provides an introduction to base plates and anchor rods, including materials and design considerations. It then covers the design of base plates for different load cases such as axial load, axial load plus moment, and axial load plus shear. Finally, it discusses the design of anchor rods for tension and shear loading based on the requirements in the ACI 318 code. The design procedures aim to ensure adequate load transfer from the steel column to the concrete foundation.
ANALYSIS AND DESIGN OF G+3 STOREY BUILDINGUSING STAAD PRO vi8 SoftwareAbhinav Verma
This document provides an overview of a summer internship project involving the analysis and design of a G+3 storey building using STAAD Pro v8i software. The project was conducted under the guidance of Dr. Pabitra Ranjan Maiti at IIT BHU over 6 weeks in June-July 2017. The project involved modeling the building in STAAD Pro, analyzing its structural components, and designing beams, columns, slabs, and footings according to the Indian code IS 456. The document outlines the process of structural analysis and design in STAAD Pro and summarizes the design considerations for typical structural elements.
This document describes the design of a pile cap by a group of civil engineering students. It defines a pile cap as a concrete mat that rests on piles driven into soft ground to provide a stable foundation. It then provides two examples of pile cap design, showing dimensions, load calculations, reinforcement requirements and construction details. The document concludes that a pile cap distributes a building's load to piles to form a stable foundation on unstable soil. It acknowledges the guidance of professors in completing this project.
The document is an Indian Standard that provides the dimensions, mass, and sectional properties of various hot rolled steel beam, column, channel, and angle sections. It includes tables that list the nominal dimensions, mass, and sectional properties like area, moments of inertia, radii of gyration, etc. of different beam sections classified as Indian Standard medium flange beams.
This document discusses calculating deflections in statically indeterminate trusses. It provides an example of calculating the deflection at point E in a pin-jointed truss subjected to a load P by drawing the free body diagram, analyzing bar forces, determining individual bar deflections, constructing a deflection diagram, and calculating the total horizontal and vertical displacement. It also discusses how statically indeterminate trusses can be analyzed by setting up simultaneous equations involving unknown reactions and forces, using compatibility conditions from known displacements, and employing techniques like superposition and symmetry.
This document summarizes the design of a raft foundation for a given structure. Key details include:
- The raft is divided into three strips (C-C, B-B, A-A) in the x-direction based on soil pressure.
- Maximum soil pressure is 60.547 kN/m^2 and maximum bending moment is 445.02 kNm.
- The required raft depth is determined to be 860 mm to resist bending and punching shear.
- Longitudinal and transverse reinforcement of 20 mm bars at 200 mm and 220 mm centers respectively are designed.
This document provides an overview of reinforced concrete slab bridge design. It discusses the types of reinforced concrete bridges, including slab, beam and slab, arch, box girder, cable-stayed, and integral bridges. It also outlines the loads that must be considered in slab bridge design, including truck, other roadway, sidewalk, and impact loads. Finally, it details the design steps for slab and edge beam components, including calculating bending moments from dead and live loads, determining the effective depth, area of main and distributed reinforcement, and designing the edge beam reinforcement.
This document discusses the design of column base plates and steel anchorage to concrete. It provides an introduction to base plates and anchor rods, including materials and design considerations. It then covers the design of base plates for different load cases such as axial load, axial load plus moment, and axial load plus shear. Finally, it discusses the design of anchor rods for tension and shear loading based on the requirements in the ACI 318 code. The design procedures aim to ensure adequate load transfer from the steel column to the concrete foundation.
ANALYSIS AND DESIGN OF G+3 STOREY BUILDINGUSING STAAD PRO vi8 SoftwareAbhinav Verma
This document provides an overview of a summer internship project involving the analysis and design of a G+3 storey building using STAAD Pro v8i software. The project was conducted under the guidance of Dr. Pabitra Ranjan Maiti at IIT BHU over 6 weeks in June-July 2017. The project involved modeling the building in STAAD Pro, analyzing its structural components, and designing beams, columns, slabs, and footings according to the Indian code IS 456. The document outlines the process of structural analysis and design in STAAD Pro and summarizes the design considerations for typical structural elements.
This document describes the design of a pile cap by a group of civil engineering students. It defines a pile cap as a concrete mat that rests on piles driven into soft ground to provide a stable foundation. It then provides two examples of pile cap design, showing dimensions, load calculations, reinforcement requirements and construction details. The document concludes that a pile cap distributes a building's load to piles to form a stable foundation on unstable soil. It acknowledges the guidance of professors in completing this project.
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.
The document provides steps for designing different structural elements:
1. Design of a beam subjected to torsion including calculation of torsional and bending moments, determination of steel requirements, and detailing.
2. Design of continuous beams involving calculation of bending moments and shears, reinforcement sizing, shear design, deflection check, and detailing including curtailment.
3. Design of circular water tanks with both flexible base and rigid base using approximate and IS code methods. This includes sizing hoop and vertical tension reinforcement, sizing wall thickness, designing cantilever sections and base slabs, and providing detailing diagrams.
This document discusses the design of compression members subjected to axial load and biaxial bending. It introduces the concept of biaxial eccentricities and explains that columns should be designed considering possible eccentricities in two axes. The document outlines the method suggested by IS 456-2000, which is based on Breslar's load contour approach. It relates the parameter αn to the ratio of Pu/Puz. Finally, it provides a step-by-step process for designing the column section, which involves determining uniaxial moment capacities, computing permissible moment values from charts, and revising the section if needed. It also briefly mentions the simplified method according to BS8110.
Deflection & cracking of RC structure(limit state method)gudtik
This document summarizes structural design considerations for deflection and cracking in reinforced concrete beams. It discusses:
1) How deflection occurs when a structure carries a load and guidelines for limiting deflection to prevent issues.
2) How cracking develops in concrete when tensile strength is exceeded from beam deflection.
3) Codal provisions for maximum allowable crack widths depending on exposure conditions.
4) Methods for controlling crack widths, including bar spacing and calculating crack widths.
5) Codal provisions for limiting span-to-depth ratios to control deflections.
6) How to calculate short-term and long-term deflections, including effects of creep and shrinkage.
This document discusses reinforced concrete columns. It begins by defining columns and different column types, including based on shape, reinforcement, loading conditions, and slenderness ratio. Short columns fail due to material strength while slender columns are at risk of buckling. The document covers column design considerations like unsupported length and effective length. It provides examples of single storey building column design and discusses minimum longitudinal reinforcement requirements in columns.
The document discusses columns, which are structural members that primarily carry axial compressive loads. It defines short columns that do not require consideration of lateral buckling and slender columns that do. It describes uniaxially loaded columns that experience either axial load alone or combined axial and bending load about one axis. It provides examples of column cross-sections and outlines the process for designing uniaxial reinforced concrete columns according to ACI code provisions. This includes calculating load and moment capacities, determining reinforcement ratios from design charts, and checking capacities against demands with safety factors.
This presentation summarizes the key aspects of one-way slab design:
1) One-way slabs have an aspect ratio of 2:1 or greater, where bending occurs primarily along the long axis. They can be solid, hollow, or ribbed.
2) Design and analysis treats a unit strip of the slab as a rectangular beam of unit width and the slab thickness as the depth.
3) The ACI code specifies minimum slab thickness, concrete cover, span length, bar spacing, reinforcement ratios, and other design requirements.
4) An example problem demonstrates the design process, calculating loads, moments, minimum reinforcement, and checking the proposed slab thickness.
5) One-
Beam columns are structural members that experience both bending and axial stresses. They behave similarly to both beams and columns. Many steel building frames have columns that carry significant bending moments in addition to compressive loads. Bending moments in columns are produced by out-of-plumb erection, initial crookedness, eccentric loads, wind loads, and rigid beam-column connections. The interaction of axial loads and bending moments in columns must be considered through an interaction equation to ensure a safe design. Second order effects, or P-Delta effects, produce additional bending moments in columns beyond normal elastic analysis and must be accounted for through moment magnification factors.
1) The document discusses the analysis of flanged beam sections like T-beams and L-beams. It covers topics like effective flange width, positive and negative moment regions, and ACI code provisions for estimating effective flange width.
2) Examples are provided for analyzing a T-beam and an L-beam section. This includes calculating the effective flange width, checking steel strain, minimum reinforcement requirements, and computing nominal moments.
3) Reinforcement limitations for flange beams are also outlined, covering requirements for flanges in compression and tension.
The document discusses mechanics of solid deflection in beams. It provides relationships between bending moment and curvature, as well as sign conventions for shear force, bending moment, slope and deflection. It then analyzes simply supported beams with central point loads and uniform distributed loads. Equations are derived for slope, deflection and bending moment at any section. Cantilevers with point loads and uniform distributed loads are also analyzed. Macaulay's method, a versatile technique for determining slope and deflection in beams under various loading conditions, is introduced. Examples applying the concepts to specific beam problems are included.
- The document describes the design and detailing of flat slabs, which are concrete slabs supported directly by columns without beams.
- Key aspects covered include dimensional considerations, analysis methods, design for bending moments including division of panels and limiting negative moments, shear design and punching shear, deflection and crack control, and design procedures.
- An example problem is provided to illustrate the full design process for an internal panel with drops adjacent to edge panels.
- The document discusses the design of a combined footing to support two columns carrying loads of 700 kN and 1000 kN respectively.
- A trapezoidal combined footing of size 7.2m x 2m is designed to support the loads and transmit them uniformly to the soil.
- Longitudinal and transverse reinforcement is designed for the footing and a central beam is included to join the two columns. Detailed design calculations and drawings of the footing and beam are presented.
This document summarizes the seminar work on the analysis and design of reinforced concrete curved beams. It discusses that curved beams experience both bending moments and torsional moments due to loads acting outside the line of supports. The document outlines the methodology used, which includes manual design using limit state method according to Indian code IS 456 and software analysis and design using ETABS. It presents the important equations for calculating bending moments and torsion in circular beams. A design example is included to demonstrate and compare the manual and software based designs. The conclusion indicates that manual design considers the combined effect of bending and twisting better than software.
This document provides information on designing and detailing steel reinforcement in combined footings. It begins by defining a combined footing as a single spread footing that supports two or more columns in a straight line. It then discusses types of combined footings and provides steps for their design including proportioning the footing size, calculating shear forces and bending moments, and designing the longitudinal and transverse reinforcement. The document concludes by providing an example problem demonstrating how to design a combined footing with a central beam.
These slides gives a basic idea about R C C structures. Elementary knowledge about different methods of design and detailing as IS code IS 456-2000 has been discussed in a lucid way.
A plate girder is a beam composed of welded or riveted steel plates. It consists of two flanges and a web plate. The flanges resist bending moments while the web resists shear forces. Plate girders are commonly used for longer spans than ordinary beams, with spans ranging from 14-40 meters for railroads and 24-46 meters for highways. They have a high depth to thickness ratio for the web, making it slender. Stiffeners are added to the web to prevent buckling. Plate girders are an economical choice for longer spans where their design can be optimized for requirements.
Bar Bending Schedule (BBS) is used to calculate the total steel required for building construction. It organizes reinforcement bars by structural element and provides details like bar location, marking, size, quantity, and shape. BBS has evolved over time with taller buildings, increased steel usage, and outdated recommendations. A BBS example is provided for a column, calculating bar requirements and properties like cutting length, total length, and weight based on standards. Proper BBS preparation helps estimate costs, improve construction quality, and minimize steel waste.
The document discusses different types of beams used in structures. It defines a beam as a structural member subjected primarily to bending. Different types of beams discussed include girders, secondary beams, joists, purlins, stringers, floor beams, girts, lintels and spandrels. Beams are classified based on their position, end conditions, fabrication method, and general span ranges. The document also covers beam analysis, including the flexure formula, stability of beam sections, and classification of beam sections as compact, non-compact and slender.
Randy McDonald, Armtec Drainage’s Director of Engineering and Frank Klita, Senior Sales Representative, for the exciting second part of our 2-part Culvert series – Culvert Design 201! This presentation will build on the basics of culvert design covered in Culvert Design 101 and will focus in- depth on the structural design of culverts. Additionally, the presenters will review considerations and best practices for culvert installations.
What You'll Learn
Culvert types & applications
Structural design of culverts and buried structures as per CHBDC (Canadian Highway Bridge Design Code) methods
Installation best practices
Review of applications across Canada
Culvert: A Robust Framework for Secondary Indexing of Structured and Unstruct...Jesse Yates
Ed Kohlwey's presentation at 2011 Hadoop Summit.
Secondary indexing is a common design pattern in BigTable-like databases that allows users to index one or more columns in a table. This technique enables fast search of records in a database based on a particular column instead of the row id, thus enabling relational-style semantics in a NoSQL environment. This is accomplished by representing the index either in a reserved namespace in the table or another index table. Despite the fact that this is a common design pattern in BigTable-based applications, most implementations of this practice to date have been tightly coupled with a particular application. As a result, few general-purpose frameworks for secondary indexing on BigTable-like databases exist, and those that do are tied to a particular implementation of the BigTable model.
We developed a solution to this problem called Culvert that supports online index updates as well as a variation of the HIVE query language. In designing Culvert, we sought to make the solution pluggable so that it can be used on any of the many BigTable-like databases (HBase, Cassandra, etc.). We will discuss our experiences implementing secondary indexing solutions over multiple underlying data stores, and how these experiences drove design decisions in creating the Culvert framework. We will also discuss our efforts to integrate HIVE on top of multiple indexing solutions and databases, and how we implemented a subset of HIVE's query language on Culvert.
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.
The document provides steps for designing different structural elements:
1. Design of a beam subjected to torsion including calculation of torsional and bending moments, determination of steel requirements, and detailing.
2. Design of continuous beams involving calculation of bending moments and shears, reinforcement sizing, shear design, deflection check, and detailing including curtailment.
3. Design of circular water tanks with both flexible base and rigid base using approximate and IS code methods. This includes sizing hoop and vertical tension reinforcement, sizing wall thickness, designing cantilever sections and base slabs, and providing detailing diagrams.
This document discusses the design of compression members subjected to axial load and biaxial bending. It introduces the concept of biaxial eccentricities and explains that columns should be designed considering possible eccentricities in two axes. The document outlines the method suggested by IS 456-2000, which is based on Breslar's load contour approach. It relates the parameter αn to the ratio of Pu/Puz. Finally, it provides a step-by-step process for designing the column section, which involves determining uniaxial moment capacities, computing permissible moment values from charts, and revising the section if needed. It also briefly mentions the simplified method according to BS8110.
Deflection & cracking of RC structure(limit state method)gudtik
This document summarizes structural design considerations for deflection and cracking in reinforced concrete beams. It discusses:
1) How deflection occurs when a structure carries a load and guidelines for limiting deflection to prevent issues.
2) How cracking develops in concrete when tensile strength is exceeded from beam deflection.
3) Codal provisions for maximum allowable crack widths depending on exposure conditions.
4) Methods for controlling crack widths, including bar spacing and calculating crack widths.
5) Codal provisions for limiting span-to-depth ratios to control deflections.
6) How to calculate short-term and long-term deflections, including effects of creep and shrinkage.
This document discusses reinforced concrete columns. It begins by defining columns and different column types, including based on shape, reinforcement, loading conditions, and slenderness ratio. Short columns fail due to material strength while slender columns are at risk of buckling. The document covers column design considerations like unsupported length and effective length. It provides examples of single storey building column design and discusses minimum longitudinal reinforcement requirements in columns.
The document discusses columns, which are structural members that primarily carry axial compressive loads. It defines short columns that do not require consideration of lateral buckling and slender columns that do. It describes uniaxially loaded columns that experience either axial load alone or combined axial and bending load about one axis. It provides examples of column cross-sections and outlines the process for designing uniaxial reinforced concrete columns according to ACI code provisions. This includes calculating load and moment capacities, determining reinforcement ratios from design charts, and checking capacities against demands with safety factors.
This presentation summarizes the key aspects of one-way slab design:
1) One-way slabs have an aspect ratio of 2:1 or greater, where bending occurs primarily along the long axis. They can be solid, hollow, or ribbed.
2) Design and analysis treats a unit strip of the slab as a rectangular beam of unit width and the slab thickness as the depth.
3) The ACI code specifies minimum slab thickness, concrete cover, span length, bar spacing, reinforcement ratios, and other design requirements.
4) An example problem demonstrates the design process, calculating loads, moments, minimum reinforcement, and checking the proposed slab thickness.
5) One-
Beam columns are structural members that experience both bending and axial stresses. They behave similarly to both beams and columns. Many steel building frames have columns that carry significant bending moments in addition to compressive loads. Bending moments in columns are produced by out-of-plumb erection, initial crookedness, eccentric loads, wind loads, and rigid beam-column connections. The interaction of axial loads and bending moments in columns must be considered through an interaction equation to ensure a safe design. Second order effects, or P-Delta effects, produce additional bending moments in columns beyond normal elastic analysis and must be accounted for through moment magnification factors.
1) The document discusses the analysis of flanged beam sections like T-beams and L-beams. It covers topics like effective flange width, positive and negative moment regions, and ACI code provisions for estimating effective flange width.
2) Examples are provided for analyzing a T-beam and an L-beam section. This includes calculating the effective flange width, checking steel strain, minimum reinforcement requirements, and computing nominal moments.
3) Reinforcement limitations for flange beams are also outlined, covering requirements for flanges in compression and tension.
The document discusses mechanics of solid deflection in beams. It provides relationships between bending moment and curvature, as well as sign conventions for shear force, bending moment, slope and deflection. It then analyzes simply supported beams with central point loads and uniform distributed loads. Equations are derived for slope, deflection and bending moment at any section. Cantilevers with point loads and uniform distributed loads are also analyzed. Macaulay's method, a versatile technique for determining slope and deflection in beams under various loading conditions, is introduced. Examples applying the concepts to specific beam problems are included.
- The document describes the design and detailing of flat slabs, which are concrete slabs supported directly by columns without beams.
- Key aspects covered include dimensional considerations, analysis methods, design for bending moments including division of panels and limiting negative moments, shear design and punching shear, deflection and crack control, and design procedures.
- An example problem is provided to illustrate the full design process for an internal panel with drops adjacent to edge panels.
- The document discusses the design of a combined footing to support two columns carrying loads of 700 kN and 1000 kN respectively.
- A trapezoidal combined footing of size 7.2m x 2m is designed to support the loads and transmit them uniformly to the soil.
- Longitudinal and transverse reinforcement is designed for the footing and a central beam is included to join the two columns. Detailed design calculations and drawings of the footing and beam are presented.
This document summarizes the seminar work on the analysis and design of reinforced concrete curved beams. It discusses that curved beams experience both bending moments and torsional moments due to loads acting outside the line of supports. The document outlines the methodology used, which includes manual design using limit state method according to Indian code IS 456 and software analysis and design using ETABS. It presents the important equations for calculating bending moments and torsion in circular beams. A design example is included to demonstrate and compare the manual and software based designs. The conclusion indicates that manual design considers the combined effect of bending and twisting better than software.
This document provides information on designing and detailing steel reinforcement in combined footings. It begins by defining a combined footing as a single spread footing that supports two or more columns in a straight line. It then discusses types of combined footings and provides steps for their design including proportioning the footing size, calculating shear forces and bending moments, and designing the longitudinal and transverse reinforcement. The document concludes by providing an example problem demonstrating how to design a combined footing with a central beam.
These slides gives a basic idea about R C C structures. Elementary knowledge about different methods of design and detailing as IS code IS 456-2000 has been discussed in a lucid way.
A plate girder is a beam composed of welded or riveted steel plates. It consists of two flanges and a web plate. The flanges resist bending moments while the web resists shear forces. Plate girders are commonly used for longer spans than ordinary beams, with spans ranging from 14-40 meters for railroads and 24-46 meters for highways. They have a high depth to thickness ratio for the web, making it slender. Stiffeners are added to the web to prevent buckling. Plate girders are an economical choice for longer spans where their design can be optimized for requirements.
Bar Bending Schedule (BBS) is used to calculate the total steel required for building construction. It organizes reinforcement bars by structural element and provides details like bar location, marking, size, quantity, and shape. BBS has evolved over time with taller buildings, increased steel usage, and outdated recommendations. A BBS example is provided for a column, calculating bar requirements and properties like cutting length, total length, and weight based on standards. Proper BBS preparation helps estimate costs, improve construction quality, and minimize steel waste.
The document discusses different types of beams used in structures. It defines a beam as a structural member subjected primarily to bending. Different types of beams discussed include girders, secondary beams, joists, purlins, stringers, floor beams, girts, lintels and spandrels. Beams are classified based on their position, end conditions, fabrication method, and general span ranges. The document also covers beam analysis, including the flexure formula, stability of beam sections, and classification of beam sections as compact, non-compact and slender.
Randy McDonald, Armtec Drainage’s Director of Engineering and Frank Klita, Senior Sales Representative, for the exciting second part of our 2-part Culvert series – Culvert Design 201! This presentation will build on the basics of culvert design covered in Culvert Design 101 and will focus in- depth on the structural design of culverts. Additionally, the presenters will review considerations and best practices for culvert installations.
What You'll Learn
Culvert types & applications
Structural design of culverts and buried structures as per CHBDC (Canadian Highway Bridge Design Code) methods
Installation best practices
Review of applications across Canada
Culvert: A Robust Framework for Secondary Indexing of Structured and Unstruct...Jesse Yates
Ed Kohlwey's presentation at 2011 Hadoop Summit.
Secondary indexing is a common design pattern in BigTable-like databases that allows users to index one or more columns in a table. This technique enables fast search of records in a database based on a particular column instead of the row id, thus enabling relational-style semantics in a NoSQL environment. This is accomplished by representing the index either in a reserved namespace in the table or another index table. Despite the fact that this is a common design pattern in BigTable-based applications, most implementations of this practice to date have been tightly coupled with a particular application. As a result, few general-purpose frameworks for secondary indexing on BigTable-like databases exist, and those that do are tied to a particular implementation of the BigTable model.
We developed a solution to this problem called Culvert that supports online index updates as well as a variation of the HIVE query language. In designing Culvert, we sought to make the solution pluggable so that it can be used on any of the many BigTable-like databases (HBase, Cassandra, etc.). We will discuss our experiences implementing secondary indexing solutions over multiple underlying data stores, and how these experiences drove design decisions in creating the Culvert framework. We will also discuss our efforts to integrate HIVE on top of multiple indexing solutions and databases, and how we implemented a subset of HIVE's query language on Culvert.
Let it Flow! Culvert Design 101 – Basic Hydraulics, Culvert Location & End Tr...Communications Branding
Patrick Biro and Roger Goobie for Culvert Design 101, an overview of culvert solutions! The presenters will begin by reviewing basic culvert hydraulics and will then discuss considerations in the selection of culvert locations. They will finish up with reviewing the necessity of, and best practices in, end-treatment selection. Various culvert products will be highlighted including Hel-Cor, BOSS 2000, and Multi-Plate.
Culvert Design 101 is the first of a 2-part series reviewing culvert design and solutions.
What You'll Learn
Culvert types & applications
Basic hydraulics
Best practices in culvert design and location
Appropriate end treatments for culverts
Review of case studies and applications across Canada
This document provides an overview of storm sewer and culvert solutions presented in a webinar by Armtec Infrastructure Inc. It discusses flexible pipe materials like corrugated HDPE and steel-reinforced HDPE pipes. HDPE pipes are lightweight with uniform pressure distribution and lower bearing pressure than rigid pipes. Corrugated steel pipes discussed include helical-locked Hel-Cor pipes and spiral-ribbed Ultra-Flo pipes available in various diameters, thicknesses, and coatings. The document also outlines Armtec as a provider of drainage engineering support and design-build services for infrastructure projects.
The document summarizes the process of widening and strengthening an existing road from 3m to 7m wide and describes the quality control tests performed on materials. It involves excavating the existing crust, laying new granular sub-base and wet mix macadam layers which are compacted. A bituminous surface layer is then applied. Culverts and bridges are also constructed along the road. Pile foundations are installed for the new bridge by driving casings into the ground and filling with concrete.
This document outlines steps for an ESL speaking project assignment where students create digital posters called "glogs" about sustainability issues. It includes: 1) providing background on sustainability at UNT through a guest lecture and facility tour; 2) assigning students to create a glog identifying an environmental problem and solutions; 3) training students on using the Glogster website; 4) having students present their glogs to the class; and 5) assessing student presentations using a rubric. The goal is for students to research a sustainability problem, describe it using multimedia, and propose solutions to raise environmental awareness.
This document contains information about Xhevdet Jeff Haliti and several of his projects. It includes his contact information and descriptions of renovating an existing 1967 building in the Netherlands to include apartment blocks, extending a nursing home in Hoogezand to provide somatic and psycho-geriatric care, and designing an apartment block with a brick exterior facade and balconies. Plans and drawings are included for the apartment block to show the layout and dimensions of the residential units.
Corrugated Steel Bridge and Tunnel Solutions Agata Woźniak
Join Ron Prychitko & Lorne Mielty for an overview of various Bridge-Plate, Multi-Plate and Tunnel Liner Plate applications. Through the presentation of various case studies they will cover product selection criteria for corrugated steel plate structures and best practices including assembly and installation.
Case study examples will include bridges, culverts, wildlife passes, mine portals, pedestrian tunnels and more.
What You’ll Learn:
-Learn about unique applications that solve demanding -problems
-Advantages of soil/steel structures
-Construction process for structures
-Available product, application and design resources
-General Canadian Codes and Standards will be referenced
Who Should Attend
-Bridge / Structural Engineers
-Municipal & Transportation Engineers
-Municipal, Provincial and Federal Infrastructure personnel
-Developers
-Earthworks & Highways Contractors
-Mining Engineers & Contractors
-Road Superintendents
This document discusses key performance indicators (KPIs) and how to develop them. It provides information on different types of KPIs, including process, input, output, leading, lagging, outcome, qualitative and quantitative KPIs. The document also outlines steps for creating KPIs, including defining objectives, identifying key result areas and tasks, determining work procedures, and identifying measurement methods. Additionally, it discusses common mistakes to avoid when developing KPIs, such as creating too many KPIs or not linking them to strategy.
The document summarizes a student group's summer training project constructing a box culvert for the North Western Railway in Banswara, India. It describes the project details, components and materials of the box culvert, laboratory and field tests conducted, concrete mix design, construction layout, execution process, and structural analysis considering various loads. The students gained hands-on experience applying their classroom knowledge to the real-world construction of the box culvert.
Residential electricity usage varies depending on climate and availability of other fuel sources (natural gas, fuel oil, etc.). This presentation looks at average usage by state and how electricity rates and electricity bills vary between different states.
The document discusses how human activities negatively impact the natural environment. It provides background on key terms like environment, biosphere, ecosystem, and ecological footprint. It then examines several human impacts like population growth, industrialization, urbanization, agriculture, deforestation, desertification, land degradation, and various forms of pollution. Climate change issues from greenhouse gas emissions are also covered, along with terms like global warming and the carbon footprint. Overall, the document analyzes how unsustainable human resource use, pollution, and other activities threaten global ecological integrity and stability.
The document describes the design of steel reinforcement for different sections of a structure over 4 spans. It includes the calculation of steel required for flexure and shear for the interior strip and edge strips on the left and right sides of each span. Design checks such as checking the steel ratio and steel quantity are also presented. Reinforcement details such as bar diameter and spacing are provided.
09-Strength of Gusset Plate (Steel Structural Design & Prof. Shehab Mourad)Hossam Shafiq II
1. The document discusses the methods to calculate the tensile strength of a gusset plate connection, including yielding on the gross area, fracture at the net area, and block shear failure.
2. It provides an example calculation for a gusset plate with given dimensions and materials. The tensile strength is calculated as 445.5 kN for yielding, 504.9 kN for fracture, and 490.68 kN for block shear.
3. A summary is given showing the strengths calculated for the bolted connection using different limit states like slip resistance and bearing failure are also included for reference. The governing strength is reported as 393.9 kN based on fracture of the effective area.
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Rcc Design Sheets
1. Beam Design
Beam Data
width 200 mm
depth 600 mm d' 31 mm .= cc+ sdia + mdia/2
clear cover to main 15 mm eff depth 569 mm .= d - d'
reinf.
Material Grades
Concrete 20 MPa
Steel 415 MPa
Moment 153 KN-m Mu/bd2 2.36
xumax 273 .= (700/(1100 * (0.87 * fy)) * d
Mulim 179 .= 0.36*fck*b*xumax*(d-(0.42*xumax))
Mulim/bd2 2.76
Beam is designed as Singly Reinforced Beam
Area of Steel Tension (Ast) Compr (Asc)
Percentage 0.782 % ------- Refer Table 2 SP 16 pg 48
Area of Steel 890 sqmm
Tension Reinforcement
Type Bar dia Nos Area of Steel
Layer 1 16 mm 2 402 sqmm
Layer 2 20 mm 2 628 sqmm
Layer 3 20 mm 2 628 sqmm
Total Steel Provided 1659 sqmm 1.458 %
Provided Steel OK
Compression Reinforcement
Type Bar dia Nos Area of Steel
Layer 1 16 mm 2
Layer 2 12 mm 2
Layer 3
Total Steel Provided 0.000 %
Shear Force (Vu) 300 KN
ζv 2.636 .=Vu / (b * d)
ζc 0.817 Refer Table 61 SP 16 pg 179 or =(0.85*√(0.8*fck)*√(1+5β)-1)) / (6β)
ζcmax 2.8 Refer Table J SP 16 pg 175
Type Bar Dia Nos Area of Steel
Layer 1 25 mm 2 982 sqmm
Layer 2 25 mm 2 982 sqmm
Layer 3 20 mm 2 628 sqmm
Total Steel Provided 2592 sqmm 2.278 %
Sectional Dimensions OK
Shear Reinforcements required
Type of stirrup 2 legged
Stirrup diameter 8 mm
Spacing 100 c/c
2.
3. Steel Calculation
Grade Check
7.1
SRB DRB
a 0.75 .=(0.87435/100) * (fy/fck)2 a 0.75 .=(0.87435/100) * (fy/fck)2
b -3.611 .=(0.87/100) * (fy) b -3.611 .=(0.87/100) * (fy)
c 2.363 .=Mu/bd2 c 2.762 .=Mulim/bd2
-p 0.782 .=-(b±√(b2-4ac))/2a -p 0.955 .=-(b±√(b2-4ac))/2a
Ast 890 .=(p*b*d)/100 Astlim 1087 .=(p*b*d)/100
Mu2 -26 .=Mu - Mulim
Ast2 -133 .=Mu2/((0.87*fy)*(d-d'))
Ast 954 .=Astlim+Ast2
0.0545 d'/d 0.10
0.1 fsc 353 Refer Table F SP 16 pg 13
fcc 8.92 .=0.466*fck
Asc -140 .=Mu2/((fsc-fcc)*(d-d'))
Min steel % 0.205 .=0.85% / fy
Ast 890
Asc -140
Min Steel 233 .=(0.85*b*d) / fy
Max Steel 4552 .=0.04*b*d)
Ast 890
Asc
Shear Calculations
Pt provided 2.278 .=(Ast*100)/(b*d)
Pc provided .=(Asc*100)/(b*d)
β 1.020 .=(0.8*fck)/(6.89*Pt)
Shear Capacity of Concrete (Vs) 93 .=ζc*b*d
Shear Stg to be caried by Stirrup (Vus) 207 .=Vu-Vs
Spacing
least of the 4
provide the
actual req 100 .=(Asv*0.87fy*d)/Vus
min 454 .=(Asv*0.87fy)/(b*0.4)
max 427 .=0.75d
max 300 .=300mm
4. Slab Design
Slab thickness t 125 mm Sunken Depth 325 mm
Concrete fck 20 MPa
Steel fy 415 MPa
Loading
Slab Load Sunken Slab Load
Dead Load DL 3.125 KN/m Dead Load DL 3.125 KN/m
Live Load LL 3.000 KN/m Filler Load FL 5 KN/m
Finishes Load WL 1.000 KN/m Live Load LL 3.0 KN/m
Total Load Ws 7.125 KN/m Finishes Load WL 1.0 KN/m
Factored Load Wsu 11 KN/m Total Load Wsk 11.74 KN/m
Factored Load Wsku 18 KN/m
Slab Data
Slab Type Regular
Load 11 KN/m
Longer Span (ly) 8.20 m ly/lx ratio 2.05
Shorter Span (lx) 4.00 m Slab type -
Loading on edges one way two way
Wlonger 21 KN/m .=w*lx/2 .=(w*lx/2) + (1-(1/3)*(lx/ly)2)
Wshorter .=w*lx/3
Moments one way two way
Mx 21 KN-m .=w*lx2/ 8 .=αx * w*lx2
.=αy * w*lx2
Thickness Check OK .=Mulim > Mux or Muy
Deflection 10 mm .= 5*W*l4/(384EI)
Astx Refer Chart 4 SP 16 pg 21 or
Area of Steel
647 sqmm Refer Table 5-44 SP 16 pg 51-80
Spacing required in mm
8# 10# 12# 16#
x y x y x y x x
78 c/c 121 c/c 175 c/c 311 c/c
.=ast of bar*1000/ast req
Final Ast x y
provided
5. Design Calculations
ONE WAY TWO WAY
a 0.75 .=(0.87435/100) * (fy/fck)
2 a 0.75 .=(0.87435/100) * (fy/fck)2
b -3.611 .=(0.87/100) * (fy) b -3.611 .=(0.87/100) * (fy)
cx 1.939 .=Mu/bd2 cy 0.000 .=Mu/bd2
-px 0.616 .=-(b±√(b2-4ac))/2a -py 0.000 .=-(b±√(b2-4ac))/2a
Ast 647 .=(p*b*d)/100 Ast 0 .=(p*b*d)/100
Min Ast % mm2
0.12 150
Interpolation 1 0.06
Table 26 IS 456 pg 91
ly/lx αx αy 1.1 0.06
lower upper exact lower upper interptn.
value value value value value value 1.2 0.07
0.00 0.00 2.05 #N/A #N/A #N/A 0.06 1.3 0.08
1.4 0.09
1.5 0.09
2 0.11
xumax 50 .= (700/(1100 * (0.87 * fy)) * d
Mulim 30 KN-m .= 0.36*fck*b*xumax*(d-(0.42*xumax))
Mulim/bd2 2.76
Mux/bd 2
1.94
Muy/bd2 0.00
E 2.24E+07
I 1.63E-04 .= bd3/12
Defln 9.79 .= 5*W*l4/(384EI)
6. Column Design
Design Loads
Load Pu 2000 KN
Moment Mu 20 KN-m
Column Data
width b 200 mm
depth d 200 mm
length l 3.00 meters
Grade
Concrete fck 20 MPa
Steel fy 415 MPa
Pu/(fckbd) 2.50 Minimum eccentricity
Mu/(fckbd2) 0.01 ex 1.27 mm OK
d'/d 0.05 ey 1.27 mm OK
Refer Chart 31 of SP 16, Page no: 116
pt/fck 0.18
pt 3.60%
Ast 1440 sqmm
Number of bars
dia nos ast
25 mm 4 1963 sqmm ● ● ● ● ● ● 4- 25#
20 mm 4 1257 sqmm 4- 20#
20 mm 4 1257 sqmm ● ● ● ● ● ● 4- 20#
Total 12 4477 sqmm
Steel provided OK
7. ACE GROUP ARCHITECTS (P) Ltd.
Architects & Consulting Engineers
Project : GAT M2
Title : 7.2m lvl
Designer : Fahim H. Bepari
Date : 18-Sep-2009
Slab thickness t 150 mm
Concrete fck 20 MPa
Steel fy 415 MPa
Loading
Slab Load
Dead Load DL 3.75 KN/m
Live Load LL 2.00 KN/m
Garden Load GL 7.20 KN/m
Water Proofing Load WL 1.00 KN/m
Total Load Ws 13.95 KN/m
Factored Load Wsu 21 KN/m
Design & Reinforcement Details of Slabs
Slab Data Spacing required in mm
Slab Name
Slab type
Slab type
Spacing provided in
Longer Shorter Loading on edges Moments Thickness Area of Steel
Load
Span Span ly/lx 8# 10# 12# mm c/c
Sl.No Sl. Id Thickness Check
Wsu / Wsku ly lx Wlonger Wshorter Mx My Astx Asty x y x y x y x y
1 Sunk 150 mm 21 KN 5.20 m 5.00 m 1.04
+ 36 KN/m 35 KN/m 31 KN-m 29 KN-m OK 753 sqmm 706 sqmm 67 c/c 71 c/c 104 c/c 111 c/c 150 c/c 160 c/c
+
2 Regular 150 mm 21 KN 5.20 m 2.50 m 2.08
- 26 KN/m 16 KN-m OK 372 sqmm 135 c/c 211 c/c 304 c/c
-
3 Regular 150 mm 21 KN 6.50 m 5.80 m 1.12
+ 45 KN/m 41 KN/m 46 KN-m 40 KN-m OK 1231 sqmm 1005 sqmm 41 c/c 50 c/c 64 c/c 78 c/c 92 c/c 113 c/c
+
3A Regular 150 mm 21 KN 2.00 m 1.10 m 1.82
+ 10 KN/m 8 KN/m 3 KN-m 1 KN-m OK 180 sqmm 180 sqmm 279 c/c 279 c/c 436 c/c 436 c/c 628 c/c 628 c/c
+
3B Regular 150 mm 21 KN 5.30 m 4.30 m 1.23
+ 35 KN/m 30 KN/m 29 KN-m 22 KN-m OK 691 sqmm 504 sqmm 73 c/c 100 c/c 114 c/c 156 c/c 164 c/c 224 c/c
+
4 Regular 150 mm 21 KN 35.00 m 2.60 m 13.46
- 27 KN/m 18 KN-m OK 404 sqmm 124 c/c 194 c/c 280 c/c
-
5 Regular 150 mm 21 KN 9.20 m 4.10 m 2.24
- 43 KN/m 44 KN-m OK 1154 sqmm 44 c/c 68 c/c 98 c/c
-
6 Regular 150 mm 21 KN 9.20 m 4.00 m 2.30
- 42 KN/m 42 KN-m OK 1083 sqmm 46 c/c 73 c/c 104 c/c
-
7 Regular 150 mm 21 KN 8.00 m 3.20 m 2.50
- 34 KN/m 27 KN-m OK 638 sqmm 79 c/c 123 c/c 177 c/c
-
8. Project NCC
Date 18-Sep-09
Grid Floor Analysis & Design
Data x direction y direction
bf
Length of beams Lx = 14.00 meters Ly = 14.00 meters
Df
Number of beams Nx = 6 nos Ny = 6 nos
Spacing of ribs a1 = 2.00 meters b1 = 2.00 meters
Depth of beam D = 900 mm D
Width of beam bw = 200 mm
Width of flange bf = 2000 mm
Thickness of flange Df = 150 mm
Grade of Concrete fck = 20 MPa
bw
Grade of Steel fy = 415 MPa
a1
Modulas of Elasticity E = 2.2E+07 KN/sqm
Loads
Live Load 3.00 KN
Floor Finish 1.00 KN
Other 0.00 KN
Loading Calculation
Ly
Total weight of slab ws = 735.00 KN
wbx = 378.00 KN b1
Total weight of beams in x direction
Total weight of beams in y direction wby = 345.60 KN
Total weight of Live load wll = 588.00 KN
Total weight of Floor Finish wff = 196.00 KN
Other load wol =
Total Load ws+wbx+wby+wll+wff+wol = 2242.60 KN Lx
Total Load/sqm q = 11.44 KN/sqm
Total Factored Load/sqm Q = 17.16 KN/sqm
Design Parameters
Ratios
Df/D = 0.167
bf/bw = 10.000
Moment of Inertia
I = (kx*bw*D3)/12
kx = 2.3 refer Chart 88 of SP 16 pg 215
I = 2.79E-02
Flexural Rigidity of ribs
Dx=EI/a1 Dy=EI/b1
Dx = 3.12E+05 Dy = 3.12E+05
Modulus of Shear
G=E / (2(1+μ)
G = 9.72E+6 KN/sqm
Torsional Constants (Polar Sectional Modulus)
C1=(1-(0.63*(bw/D))*(bw3*D/3) C2=(1-(0.63*(bw/D))*(D3*bw/3)
C1 = 2.06E-3 cum C2 = 4.18E-2 cum
Torsional Rigidity
Cx=GC1/b1 Cy=GC2/a1
Cx = 1.00E+4 Cy = 2.03E+5
2H=Cx+Cy
2H = 2.13E+5
Dx / Lx4 = 8.13
Dy / Ly4 = 8.13
2H / (Lx2*Ly2) = 5.55
Deflection Check
Central Deflection
ω=(16*Q/π)/((Dx/Lx4)+(2H/(Lx2*Ly2))+(Dy/Ly4))
ω = 13.09 mm
Long Term Deflection
Ltdefl. = 3*ω
Ltdefl. = 39.28 mm
span/deflection
(Clause 23.2 IS 456)
s/d = 56.00 mm
Maximum deflection including long term effects is within permissible limits i.e. Ltdefl < s/d ratio
Maximum Moment & Shear Values
Max Bending Moments
Mx=Dx*(π/Lx)2*ω My=Dy*(π/Ly)2*ω
Mx = 206 KN-m My = 206 KN-m
Max Torsional Moments
Mxy=(Cx*π2*ω1)/(Lx*Ly)
Mxy = 7 KN-m
Shear Force
Qx=[(Dx*(π/Lx)3)+(Cy*(π3/(a*b2)))]*ω Qy=[(Dy*(π/Ly)3)+(Cx*(π3/(b*a2)))]*ω
Qx = 48 KN Qy = 48 KN
9. Staircase Design
Data
Effective Span (l) 5.00 mm
Riser (R) 150 mm
Thread (T) 300 mm
Waist Slab thickness (t) 150 mm
Clear Cover 15 mm
Effective Depth of Waist Slab (d) 135 mm
Grade of Concrete (fck) 20 MPa
Grade of Steel (fy) 415 MPa
Loading
Loads on going Loads on waist slab
Self weight of waist slab 4.19 KN/m Self weight of landing slab 3.75 KN/m
Self weight of steps 1.88 KN/m Live Load 2.00 KN/m
Live Load 3.00 KN/m Floor Finish Load 1.00 KN/m
Floor Finish Load 1.00 KN/m Total Load 6.75 KN/m
Total Load 10.07 KN/m Factored Load 10.13 KN/m
Factored Load 15.10 KN/m
Bending Moment
Calculate Bending Moment using the equation (W*L*L )/8 ###
Bending Moment = 47 KN-m
Reaction
to be used as UDL = 38 KN ###
60 KN-m
Area of Main Steel
Ast 1184 sqmm
Spacing
Diameter of bar 12ø 16ø
Spacing across x 96 c/c 170 c/c
Provded Main Steel:
Area of Distribution Steel
Ast 180 sqmm
Spacing
Diameter of bar 8ø 10ø
Spacing across y 279 c/c 436 c/c
Provided Distridution Steel:
10. Seismic Zone II Table 2 IS 1893 2002 pg 16
Seismic Intensity z 0.1
Importance factor I 1.5 Table 6 IS 1893 2002 pg 18
Response Reduction Factor R 3 Table 7 IS 1893 2002 pg 23
Lateral Dimension of Building d 65.6 meters
Height of the of Building h 50.4 meters
with brick infill
Fundamental Natural Period Ta 0.560
Type of Soil Medium Soil
Spectral Acceleration Coefficient Sa/g 0.000
Design Horizontal Seismic Coefficient Ah 0
Seismic Weight of Building W 680034 KN
Design Seismic Base Shear VB 0 KN
11. Date 18-Sep-09
Footing No. F2
1 Footing Size Design
Load 1 Pu1 2000 KN
Load 2 Pu2 1850 KN
Combine load Pcu 3850 KN
Design Load Pc 2823 KN
Moment in x dir Mux 40 KN-m
Moment in y dir Muy 40 KN-m
c/c dist b/w col in x dir 2.725 meters
c/c dist b/w col in y dir 0.000 meters
Col Dim x dir 0.20 meters
y dir 0.20 meters
SBC q 150 KNm2
Footing Size required A req 18.82 sqmm
L 6.00 meters
Footing Size Provided
B 3.20 meters
Area Provided A prvd 19.20 meters
x bar 1.309
y bar 0.000
Zx 10.24
Zx 19.20
Nup 151 KNm2
Increase the Footing Size
12. 2 Beam Design
Total Load W 151 KNm2
Factored Load Wu 725 KNm2
1.691 meters 2.725 meters 1.584 meters
3.20 meters
6.00 meters
725 KNm2
1.69 meters 2.73 meters 1.58 meters
Beam Size width 600 mm
depth 900 mm
Moment Mb 898 KN-m
Design the beam from the BEAM DESIGN SHEET
Bottom Reinforcement
Type Bar dia Nos Area of Steel
Layer 1 25 mm 6 2945 sqmm
Layer 2 25 mm 6 2945 sqmm
Layer 3 -
Total Steel Provided 5890 sqmm
Percentage of Steel 1.148 %
Top Reinforcement
Type Bar dia Nos Area of Steel
Layer 1 25 mm 6 2945 sqmm
Layer 2 20 mm 6 1885 sqmm
Layer 3 -
Total Steel Provided 4830 sqmm
13. 3 Slab Design
Net upward pressure Nup 151 KNm2
l 1.30 meters /=width of footing from col face
Bending Moment Ms 128 KN-m M=Nup*l2/2
Factored Moment Mus 191 KN-m 1.5*Ms
Concrete fck 20 MPa
Steel fy 415 MPa
Minimum Depth Required dmin 264 d=sqrt(Ms/Rumax*1000*b)
Depth Provided D 600 mm
Clear Cover c 50 mm
Effective Cover d' 56 mm
Effective Depth d' 544 mm
Area of Steel across x dir Spacing c/c in mm
12# 16# 20#
1014 sqmm 112 c/c 198 c/c 310 c/c
Ast across x direction 12 mm dia @ 100 mm c/c 1131 sqmm
Dist Ast across y direction 8 mm dia @ 175 mm c/c 287 sqmm
4 Shear Check for Slab
Vu1 171 KN
ζv 0.315 MPa
ζc 0.316 MPa
Shear Check OK
14. 5
6.00 meters
3.20 meters 600 mm
1.7 meters 2.73 meters 1.6 meters
600 mm
6 - 25 mm dia
6 - 20 mm dia 6 - 25 mm dia
900 mm
6 - 25 mm dia
600 mm
250 mm
8 mm dia @ 175 mm c/c 12 mm dia @ 100 mm c/c
6 - 25 mm dia
6 - 20 mm dia
6 - 25 mm dia
6 - 25 mm dia
15. Design Of Isolated Footing 15 of 37
1 Footing Size Design
Load Pu 1500 KN
Design Load P 1100 KN
Moment in x dir Mux 30 KN-m
Moment in y dir Muy 30 KN-m
Column size cx 450 mm
cy 450 mm
SBC q 150 KN/sqm
Footing Size required A req 7.33 sqmm
L 3.30 meters
Footing Size Provided
B 2.40 meters
Area Provided A prvd 7.92 meters
Zx 3.17
Zx 4.36
Net upward pressure Nup 150 KNm2
Footing Size OK
2 Slab Design
lx 1.425
ly 0.975
Bending Moment in x dir Mx 228 KN-m
Bending Moment in y dir My 107 KN-m
Concrete fck 20 MPa
Steel fy 415 MPa
Minimum Depth Required dmin 288
Depth Provided D 650 mm
Clear Cover c 50 mm
Effective Cover d' 58 mm
Effective Depth d' 592 mm
Spacing c/c in mm
Area of Steel
12# 16# 20#
1111 sqmm 102 c/c 181 c/c 283 c/c
710 sqmm 159 c/c 283 c/c 442 c/c
Minimum Ast required across y direcion
Ast across x direction 16 mm dia @ 125 mm c/c 1608 sqmm
Ast across y direction 16 mm dia @ 125 mm c/c 1608 sqmm
16. Design Of Isolated Footing 16 of 37
3 One Way Shear along x direction
Vu1 449 KN
ζv 0.316 MPa
ζc 0.317 MPa
Vc1 451 KN
One Way Shear Check OK
4 One Way Shear along y direction
Vu1 284 KN
ζv 0.145 MPa
ζc 0.260 MPa
Vc1 508 KN
One Way Shear Check OK
5 Two Way Shear
Vu2 1536 KN
ζv 0.622 MPa
ks*ζc 1.118 MPa
Vc1 2759 KN
Two Way Shear Check OK
17. Design Of Isolated Footing 17 of 37
L= 3.30 meters
450
450
B= 2.40 meters
250 mm 650 mm
16 mm dia @ 125 mm c/c 16 mm dia @ 125 mm c/c
18. Dimensions of Dome
Diameter d= 12600 mm
Height h= 3000 mm
Thickness t= 150 mm
Radius of Sphere r = 8115 mm
h = 3.00 m
Φ= 50.93
Ѳ= 0 to 50.93
Loading d = 12.60 m
Dead Load DL = 3.75 KN/m
Live Load LL = 0.10 KN/m 50.93 r = 8.12 m
Wind Load WL = 0.10 KN/m
0m
Total Load W= 3.95 KN/m 11 5. 0
Factored Load Wu = 5.93 KN/m r =8
Meridional Stress Hoop Stress
Ѳ Mt Ѳ Mt
50.93 0.197 MPa 50.93 0.003 MPa
45.00 0.188 MPa 45.00 0.025 MPa
40.00 0.182 MPa 40.00 0.041 MPa
35.00 0.176 MPa 35.00 0.055 MPa
30.00 0.172 MPa 30.00 0.067 MPa
25.00 0.168 MPa 25.00 0.077 MPa
20.00 0.165 MPa 20.00 0.086 MPa
15.00 0.163 MPa 15.00 0.093 MPa
5.00 0.161 MPa 5.00 0.100 MPa
0.00 0.160 MPa 0.00 0.101 MPa
Maximum Meridional Stress 0.197 MPa Maximum Hoop Stress 0.101 MPa
fck 20 MPa
Fy 415 MPa
бst 230.00
Area of steel 128 sqmm Area of steel 66 sqmm
Bar Dia 10 mm Bar Dia 10 mm
Spacing 613 c/c Spacing 1187 c/c
Meridional Thrust @ Base 29 KN/m
Horizontal Component on Ring Beam 19 KN/m
Hoop Tension on Ring Beam 117 KN
Area of steel 509 sqmm
Bar Dia 16 mm
No of Bars 3 nos
19. ACE GROUP ARCHITECTS (P) Ltd.
Architects & Consulting Engineers
Project : MVJ
Block : L-Block
Date : 18-Sep-2009
Designer : Fahim H. Bepari
Design & Reinforcement Details of Columns
Design Constants Design Final Ast Area of Steel
Sl Grid Col Col Paramenters Required
Col Nos. Load Moment Column Data Grade Ast Req Remark Check Fig
No. No type Shape Pu/(fckbdl) Mu/(fckbdl2) d'/d Type 1 Type 2 Total Reinf Provided
Ast less than Steel
1 - - C1 R 1500 KN 30 KN-m 30 KN-m 200 mm 750 mm 750 mm 50 mm 3.60 m 20 MPa 415 MPa 0.50 0.01 0.1 0.02 0.40% 600 sqmm min Ast req. 1200 sqmm 4 12 mm 452 sqmm 2 12 mm 226 sqmm 6 679 sqmm provided
NOT OK
09/18/2009 Page 19 of 37
20. 19.7 KNm2
Dimensions of Dome
Diameter d= 12600 mm
Height h= 5000 mm
Radius of Sphere r= 6469 mm
Φ= 76.87
Ѳ= 0 to 76.87
Loading
Dead Load DL = 3.00 KN/m
Live Load LL = 0.10 KN/m
Other Load OL = 10.00 KN/m
Total Load W= 13 KN/m
Factored Load Wu = 20 KN/m
Vertical Reaction VA = VB = 123.8 KN
Horizontal Reaction HA = HB = 234.0 KN
Ѳ x y Moment
76.87 0.00 0.00 0
75.00 0.05 0.21 -42
60.00 0.70 1.77 -331
50.00 1.34 2.69 -481
40.00 2.14 3.49 -596
30.00 3.07 4.13 -680
20.00 4.09 4.61 -737
10.00 5.18 4.90 -769
5.00 5.74 4.98 -777
0.00 6.30 5.00 -780
Max Values 780 KN-m
21. h = 5.00 m
d = 12.60 m
76.87 r = 6.47 m
m
9. 00
646
r=
Radial Shear Normal Thrust 0 67 174
67 174 42 59 180
59 180 331 10 224
-10 224 481 56 245
-56 245 596 100 259
-100 259 680 141 265
-141 265 737 178 262
-178 262 769 209 252
-209 252 777 222 244
-222 244 780 234 234
-234 234
234 KN 265 KN
22. ACE GROUP ARCHITECTS (P) Ltd.
Architects & Consulting Engineers
Project : Jnana Vikas
Title : Terrace Floor
Designer : Fahim H. Bepari
Date : 18-Sep-2009
Beam : CB11
Dimensions of Ring Beam
Radius r= 6.30 mts
No of supports n= 8 nos
Constants Ѳ= 23 deg 0.3927 radians
Φm = 9 1/2 0.1658 radians
C1 = 0.07
C2 = 0.03
C3 = 0.01
Loading
Wu = 10 KN/m
FΦ MΦ Mmt
Φ Shear Force Bending Torsional
Moment Moment
deg KN KN-m KN-m
0 24.74 -20.62 0.00
9 1/2 14.29 -0.05 1.57
22 1/2 0.00 10.39 0.00
Beam Data
width 300 mm
depth 600 mm
Equivalent Shear
Ve = V+1.6(T/b) = 33 KN T=MΦ
Equivalent Moment
Mt = T((1+D/b)/1.7) = 1 KN-m Mt = BM due to torsion
Me1 = M+Mt = 22 KN-m Me1 = Equivalent BM on tension side
Me2 = M-Mt = 20 KN-m Me2 = Equivalent BM on compression side
23. A Load 2700
Moment x-dir y-dir
Bottom 0 29
Top 6 137
Col Type Rectangular Column (reinf. on 2 sides)
x-dir y-dir
Unsupported Length 8250 8250
Col Size 200 900
d'/D 0.05 0.20
d' 40
Concrete 20
Steel 415
D
Effective Length Ratio
0.80 from IS Code
0.90 manual Calculation
Effective Length to be considered from Manual Calculation
Effective Length (le) lex Ley
7425 7425
E Slenderness Ratio
le/D 8 Short Column
le/b 37 Slender Column
Moment due to Slen Muax 0
Muay 372
Min Ecc ex 46.5
ey 23.2
Moment due to ecc Mux 125.55
Muy 62.55
G Reduction of Moments
Percentage assumed 2.18
Asc 3924
Puz 2841
k1 K2 Pb
x-x 0.22 0.1 367
y-y 0.18 -0.02 291
Kx 0.06
Ky 0.06
Additional Moments due to ecc Max 0
May 21
Modified Initial Moments Mux 3.6
Muy 70.6
Summary of Moments
A Moment due to eccentricity + Modified additional moments
Mux 126
Muy 83
B Modified initial moments + Modified additional moments
Mux 4
Muy 91
C 0.4Muz + Modified additional moments
Mux 0
Muy 32
Final Design Loads
Pu 2700
Mux 126
Muy 91
24. Project : Delhi Public School
Block : Indoor Sports Block
Date : 18-Sep-2009
Designer : Fahim H. Bepari
Column : C6a
Design Loads
Pu = 2400 KN
Mux = 192 KN-m
Muy = 517 KN-m
Col Data
b = 600 mm
D = 750 mm
d' = 40.0 mm
d'/D = 0.10
d'/b = 0.10
Material Grades
fck = 20 MPa
fy = 415 MPa
Design Constants
Steel % pt = 1.2 Ast = 5400 sqmm
pt/fck = 0.06 Min Ast = 3600 sqmm
Pu/fck*b*D = 0.27
Mux/fck*b*D2 = 0.11
Muy/fck*b*D2 = 0.11
Puz = 5682
Mux1 = 743
Muy1 = 594
Pu/Puz = 0.42
Mux/Mux1 = 0.26
Muy/Muy1 = 0.87
αn = 1.37
(Mux/Mux1)αn + (Muy/Muy1)αn 0.98
Steel Percentage OK
Steel Details
nos dia ast
Type 1 4 20 mm 1257 sqmm
Type 2 8 16 mm 1608 sqmm
Total Steel 12 - 2865 sqmm
Percentage 0.64%
25. Simply supported beam Simply supported beam
with UDL with Point Load
Load W 30 KN/m 10 KN/m
Length l 5.60 m 5.00 m
Elasticity of Concrete
Ec 22000000 MPa 22000000 MPa
= 5000(√fck)
Width b 0.20 m 0.20 m
Depth d 0.45 m 0.60 m
Moment M 126.42 m 40.63 m
Reaction R 90.30 m 32.50 m
Moment of Inertia =
Ixx 0.0015 mm4 0.0036 mm4
bd3/12
Deflection 11.5 mm 0.3 mm
dy
Formula 5Wl4/384EI Wl3/48EI
26. Cantilever beam Cantilever beam
with UDL with Point Load
1400 KN/m 10 KN/m
3.80 m 5.00 m
22000000 MPa 22000000 MPa
1.50 m 0.20 m
1.10 m 0.60 m
2601.46 m 40.63 m
2738.38 m 32.50 m
0.1664 mm4 0.0036 mm4
10.0 mm 5.3 mm
Wl4/8EI Wl3/3EI
29. DESIGN OF RETAINING WALL
1 Preliminary Data
i) Height of RW h 3.00 meters
ii) Soil Density γs 18 KN/cum
iii) SBC qo 250 KN/sqm
30 degrees
iv) Angle of repose Ø
0.524 radians
0 degrees
v) Surcharge Angle Ө
0.000 radians
vi) Coefficient of friction µ 0.5
vii) Surcharge Load Ws 4 KN/sqm
2 Pressure Coefficients
Active Pressure Coefficients
i) =(cosӨ-√(cos2Ө-cos2Ø)*cosӨ) / (cosӨ+√(cos2Ө- Ca 0.333
cos2Ø))
Passive Pressure Coefficients
ii) Cp 3.00
= (1+SinØ) / (1+SinØ)
3 Preliminary Dimensions
Proposed Adopted
i) Thickness of Stem ts - 0.20 meters
ii) Thickness of footing base slab tb = 0.08 * (h + hs) 0.24 meters 0.30 meters
Length of base slab L = 1.5 * √(Ca/3) * (h + hs) 1.61 meters
iii) 2.00 meters
or L = 0.6h to 0.65h 2.09 meters
iv) Extra Height of Retaining Wall due to Surcharge hs = Ws/γs 0.22 meters
v) Total Height of Retaining Wall due to Surcharge Hs = h+hs 3.22 meters
vi) Extra Height of RW due to inclined back fill hi = (L-ts)* tanӨ 0.00 meters
vii) Total Height of RW due to inclined back fill Hi = h+hi 3.00 meters
viii) Design Height of RW considered H = Max of H1 & H2 3.22 meters
4 Stability against Overturning
i) Active pressure due Surcharge Load Pa1 = Ca*Ws*h 4 KN
ii) Active pressure due Backfill Load Pa2 = Ca*γs*h2 / 2 27 KN
iii) Total Load on stem Pa = Pa1 + Pa2 31 KN
iv) Overturning Moment Mo= (Pa1 * h/2) +(( Pa2*CosӨ)* h/3) 33 KNm
v) Load Lever arm from end of stem Moment
W1 Backfill Load = (L-ts)*(h-tb)*γs 87 KN (L-ts) / 2 0.90 meters 79 KNm
W2 Surcharge Load = Ca*Ws*h 4 KN (L-ts) / 2 0.90 meters 4 KNm
W3 Inclined Backfill Load = ((L-ts)*hi)/2*γs 0 KN (L-ts) / 3 0.60 meters 0 KNm
W4 Stem self weight = ts*(h-tb)*γconc 14 KN (L- (ts/2))/2 0.95 meters 13 KNm
W5 Base self weight = L*tb*γconc 15 KN L/2 1.00 meters 15 KNm
W6 Downward component = Pa*sinӨ 0 KN 0 KNm
W6 Other Load 0 KNm
∑W 120 KN ∑Mw 110 KNm
vi) Distance of Resultant Vertical Force from end of heel xw=∑Mw/∑W 0.92 meters
vii) Stabilizing Moment Mr =∑W * (L - xw) 130 KNm
viii) Factor of Safety against OVERTURNING
(FS)OT = 0.9 * (Mr/Mo) 3.54 > 1.4 Safe against Overturning
5 Stability against Sliding
i) Sliding Force Pa*CosӨ 31 KN
ii) Resisting Force F = µ*∑W 60 KN
iii) Factor of Safety against SLIDING
(FS)SL=0.9*(F/(Pa*CosӨ)) 1.74 > 1.4 Safe against Sliding
Shear Key not required
iv) Shear key Design
x 0.00 meters
a) Shear Key Size
y 0.00 meters
b) Distance from stem z 0.00 meters
c) Heigth of exacavation h1 0.00 meters
d) Heigth of exacavation h2 = h1 + y + (z * tanØ) 0.00 meters
e) Passive Pressure Pp = Cp*γs*(h12-h22) / 2 0 KN
v) Revised Factor of Safety against SLIDING
(FS)sliding = 0.9 * ((F+Pp)/(Pa*CosӨ)) 1.74 > 1.4
Safe against Sliding
6 Soil Pressures at footing base
i) Resultant Vertical Reaction ∑W = R 120 KN
ii) Distance of R from heel Lr = (Mw+Mo)/R 1.19 meters
iii) Eccentricity e = Lr- L/2 0.19 meters
Eccentricity lies within middle third of the base hence OK
iv) Pressure Distridution on soil qmax = R/L * (1+(6*e/L)) 95 KN/sqm
qmin = R/L * (1-(6*e/L)) 25 KN/sqm
Max Pressure qmax<SBC hence pressure on base is OK
Pressure at junction of stem and q =q -((q -q )/L)*t )
v) 88 KN/sqm
heel sh max max min s
30. DESIGN OF L Shaped Cantilever RETAINING WALL
1 Preliminary Data
i) Height of Retaining Wall h 3.00 meters
ii) Soil Density γs 18 KN/cum
iii) SBC qo 250 KN/sqm
iv) Angle of repose Ø 30 degrees
0.524 radians
v) Surcharge Angle Ө 0 degrees
0.000 radians
vi) Coefficient of friction µ 0.5
vii) Surcharge Load Ws 4 KN/sqm
2 Pressure Coefficients
i) Active Pressure Coefficients Ca 0.333
=(cosӨ-√(cos2Ө-cos2Ø)*cosӨ) /
(cosӨ+√(cos2Ө-cos2Ø))
ii) Passive Pressure Coefficients Cp 3.00
= (1+SinØ) / (1+SinØ)
3 Preliminary Dimensions
Proposed Adopted
i) Thickness of Stem ts min 200mm 0.20 meters
ii) Thickness of footing base slab tb = 0.08 * (h + hs) 0.24 meters 0.30 meters
iii) Length of base slab L = 1.5 * √(Ca/3) * (h + hs) 1.61 meters 2.20 meters
L = 0.6h to 0.65h 2.09 meters
iv) Extra Height of Retaining Wall due to Surcharge hs = Ws/γs 0.22 meters
v) Total Height of Retaining Wall due to Surcharge Hs = h+hs 3.22 meters
vi) Extra Height of RW due to inclined back fill hi = (L-ts)* tanӨ 0.00 meters
vii) Total Height of RW due to inclined back fill Hi = h+hi 3.00 meters
viii) Design Height of RW considered H = Max of H1 & H2 3.22 meters
4 Stability against Overturning
i) Active pressure due Surcharge Load PHS = Ca*Ws*h 4 KN
ii) Active pressure due Backfill Load PH = Ca*γs*h2 / 2 31 KN
iii) Total Load on stem (Force) Pa = PHS + PH 35 KN
iv) Overturning Moment due to Imposed load MOIL = PHS*h/2 7 KN
v) Overturning Moment due to Backfill load MODL = PH*h/3 33 KN
vi) Overturning Moment Mo = (1.2*MDIL) + (1.4*MOIL) 50 KN
v) Load Lever arm at end of stem Moment
W1 Backfill Load = (L-ts)*(h-tb)*γs 105 KN ((L-ts) / 2) + ts 1.20 meters 126 KNm
W2 Inclined Backfill Load = ((L-ts)*hi)/2*γs 0 KN ((L-ts) / 3) + ts 0.87 meters 0 KNm
W3 Stem self weight = ts*(h-tb)*γconc 15 KN ts / 2 0.10 meters 1 KNm
W4 Base self weight = L*tb*γconc 17 KN L/2 1.10 meters 18 KNm
∑W 136 KN ∑Mw 146 KNm
viii) Mw not less than (1.2*MODL) +(1.4*MOIL) Safe against Overturning
-clause 20.1 page 33 of IS 456 2000
5 Stability against Sliding
i) Sliding Force Pa = PHS + PH 35 KN
ii) Resisting Force F = µ*∑W 68 KN
iii) (FS)SL= (0.9*F)/(Pa) 1.73 > 1.4 Safe against Sliding
-clause 20.2 page 33 of IS 456 2000
6 Soil Pressures at footing base
i) Net Moment at toe Mn = Mw - Mo 105 KN
ii) Point of application of Resultant R x = Mn/W 0.77 meters
iii) Eccentricity e = (L/2) - x 0.33 meters L/6= 0.37
e<L6 Eccentricity lies within middle third of the base hence OK
iv) Pressure Distridution on soil qmax = W/L * (1+(6*e/L)) 117 KN/sqm
qmin = W/L * (1-(6*e/L)) 7 KN/sqm
Max Pressure qmax<SBC hence pressure on base is OK
Pressure at junction of stem and qsh=qmax-((qmax-qmin)/L)*ts)
v) 107 KN/sqm
heel
31. 7 Constants for Working Stress Method
Design Constants
i) Grade of concrete 20 MPa
ii) Grade of steel 415 MPa
iii) Compr stress in concrete c 7.0 table 21 page 81 IS 456
iv) Tensile stress in steel t 230
v) Modular ratio m = 280/3c 13.33
vi) Neutral axis depth factor k=mc/(mc+t) 0.289
vii) Lever arm j = 1 - k/3 0.904
viii) Factor R= cjk / 2 0.913
8 Design
A) Stem
i) Beanding Moment at base of stem M = MODL + MOIL 40 KN/m
ii) Thickness required dreq=√(Ms/(R*b) 0.01 meters
iii) Thickness provided ts 0.20 meters
Thickness of Stem is OK
iv) Ast required Ast = M/(t*j*tse) 1387 sqmm
v) Ast provided 16 mm dia @ 125 mm c/c 1608 sqmm
vi) Percentage of Steel pt = Ast/(b*d) 0.99 %
Steel OK
B) Base Slab
Force Lever arm from end of stem Moment
i) Force due to backfill+surcharge = (H2-tb)*(L-ts)*γs 105 (L-ts) / 2 1.00 meters 105 KNm
ii) Force due to inclined backfill = hi/2*(L-ts)*γs 0 (L-ts) / 3 0.67 meters 0 KNm
iii) Self Weight of base slab =L *tb*γconc 17 L/2 1.10 meters 18 KNm
∑Ws 122 Md 123 KNm
vi) Upward soil pressure Nup = ((qsh+qmin)/2)*(L-ts) 114 ((qsh+(2*qmin))/(qsh+qmin)) / 1.59 meters 181 KNm
Downward Pressure is greater ((L-ts)/3) Mu 181 KNm
v) Bending Moment Msh = Mu-Md 58
vi) Thickness required dreq=√(Ms/(R*b) 0.25 meters Thickness of Stem is OK
vii) Thickness provided ts 0.30 meters
viii) Ast required Ast = M/(t*j*tse) 1157 sqmm
ix) Ast provided 16 mm dia @ 150 mm c/c 1340 sqmm
x) Percentage of Steel pt = Ast/(b*d) 0.48 %
Steel OK
C) Reinforcement Details
FILL
32. DESIGN OF Reverse L Shaped Cantilever RETAINING WALL
1 Preliminary Data
i) Height of Retaining Wall h 3.00 meters
ii) Height of Plinth Fill hp 0.50 meters
iii) Soil Density γs 18 KN/cum
iv) SBC qo 250 KN/sqm
Angle of repose Ø 30 degrees
v)
0.524 radians
Surcharge Angle Ө 0 degrees
vi)
0.000 radians
vii) Coefficient of friction µ 0.5
vii) Surcharge Load Ws 4 KN/sqm
2 Pressure Coefficients
i) Active Pressure Coefficients Ca 0.333
=(cosӨ-√(cos2Ө-cos2Ø)*cosӨ) /
(cosӨ+√(cos2Ө-cos2Ø))
ii) Passive Pressure Coefficients Cp 3.000
= (1+SinØ) / (1+SinØ)
3 Preliminary Dimensions
Proposed Adopted
i) Thickness of Stem ts min 200mm 0.20 meters
ii) Thickness of footing base slab tb = 0.08 * (h + hs) 0.24 meters 0.45 meters
iii) Length of base slab α = 1 - (q0/2.7*γs*H) -0.60 meters
if sloped backfill
L = H*sqrt((Ca*cosβ)/((1-α)*(1+3α)) 0.00 meters
α = 1 - (q0/2.2*γs*H) -0.96 meters 2.45 meters
if horizontal backfill
L = 0.95*H*sqrt((Ca)/((1-α)*(1+3α)) 0.00 meters
L = 0.6h to 0.65h 2.09 meters
iv) Extra Height of Retaining Wall due to Surcharge hs = Ws/γs 0.22 meters
v) Total Height of Retaining Wall due to Surcharge Hs = h+hs 3.22 meters
vi) Extra Height of RW due to inclined back fill hi = (L-ts)* tanӨ 0.00 meters
vii) Total Height of RW due to inclined back fill Hi = h+hi 3.00 meters
viii) Design Height of RW considered H = Max of H1 & H2 3.22 meters
4 Stability against Overturning
i) Active pressure due Surcharge Load PHS = Ca*Ws*h 4 KN
ii) Active pressure due Backfill Load PH = Ca*γs*h2 / 2 31 KN
iii) Total Load on stem (Force) Pa = PHS + PH 35 KN
iv) Overturning Moment due to Imposed load MOIL = PHS*h/2 7 KN
v) Overturning Moment due to Backfill load MODL = PH*h/3 33 KN
vi) Overturning Moment Mo = (1.2*MDIL) + (1.4*MOIL) 50 KN
v) Load Lever arm at start of heel Moment
W1 Front fill Load = (L-ts)*(hp-tb)*γs 2 KN ((L-ts) / 2) 1.13 meters 2 KNm
W3 Stem self weight = ts*(h-tb)*γconc 14 KN (ts/2) + (L-ts) 2.35 meters 33 KNm
W4 Base self weight = L*tb*γconc 28 KN L/2 1.23 meters 34 KNm
W5 Other Load PT Beam Load 0 KN
∑W 43 KN ∑Mw 69 KNm
viii) Mw not less than (1.2*MODL) +(1.4*MOIL) Safe against Overturning
-clause 20.1 page 33 of IS 456 2000
5 Stability against Sliding
i) Sliding Force Pa = PHS + PH 35 KN
ii) Resisting Force F = µ*∑W 22 KN
iii) (FS)SL= (0.9*F)/(Pa) 0.55 < 1.4 Unsafe against Sliding
-clause 20.2 page 33 of IS 456 2000
5a Shear key Design
x 0.30 meters
a) Shear Key Size
y 0.30 meters
b) Distance from stem z 0.30 meters
c) Heigth of exacavation h1 0.60 meters
d) Heigth of earth mobilization h2 = h1 + y + (z * tanØ) 1.07 meters
e) Passive Pressure Pp = Cp*γs*(h12-h22) / 2 21 KN
v) Revised Factor of Safety against SLIDING
(FS)sliding = 0.9 * ((F+Pp)/(Pa*CosӨ)) 1.09 > 1.4
Unsafe against Sliding. Shear Key Required
6 Soil Pressures at footing base
33. i) Net Moment at toe Mn = Mw - (MOIL+MODL) 28 KN
ii) Point of application of Resultant R x = Mn/W 0.65 meters
iii) Eccentricity e = (L/2) - x 0.58 meters L/6= 0.41
e>L6 Eccentricity lies outside the middle third of the base. Revise the base dimensions
iv) Pressure Distridution on soil qmax = W/L * (1+(6*e/L)) 43 KN/sqm
qmin = W/L * (1-(6*e/L)) -7 KN/sqm
Max Pressure qmax<SBC hence pressure on base is OK
Pressure at junction of stem and qsh=qmax-((qmax-qmin)/L)*ts)
v) 39 KN/sqm
heel
34. 7 Constants for Working Stress Method
Design Constants
i) Grade of concrete 20 MPa
ii) Grade of steel 415 MPa
iii) Compr stress in concrete c 7.0 table 21 page 81 IS 456
iv) Tensile stress in steel t 230
v) Modular ratio m = 280/3c 13.33
vi) Neutral axis depth factor k=mc/(mc+t) 0.289
vii) Lever arm j = 1 - k/3 0.904
viii) Factor R= cjk / 2 0.913
8 Design
A) Stem
i) Beanding Moment at base of stem M = MODL + MOIL 40 KN/m
ii) Thickness required dreq=√(Ms/(R*b) 0.01 meters
iii) Thickness provided ts 0.20 meters
Thickness of Stem is OK
iv) Ast required Ast = M/(t*j*tse) 1387 sqmm
v) Ast provided 16 mm dia @ 120 mm c/c 1676 sqmm
vi) Percentage of Steel pt = Ast/(b*d) 0.99 %
Steel OK
B) Base Slab
Force Lever arm from end of stem Moment
i) Force due to Frontfill = (L-ts)*(hp-tb)*γs 2 (L-ts) / 2 1.13 meters 2 KNm
iii) Self Weight of base slab = L* tb * γconc 28 L/2 1.23 meters 34 KNm
∑Ws 30 Md 36 KNm
vi) Upward soil pressure Nup = ((qsh+qmin)/2)*(L-ts) 35 ((qsh+(2*qmin))/(qsh+qmin)) / 1.03 meters 36 KNm
Upward Pressure is greater ((L-ts)/3) Mu 36 KNm
v) Bending Moment Msh = Mu-Md 0
vi) Thickness required dreq=√(Ms/(R*b) 0.01 meters Thickness of Stem is OK
vii) Thickness provided ts 0.45 meters
viii) Ast required Ast = M/(t*j*tse) 2 sqmm
ix) Ast provided 12 mm dia @ 150 mm c/c 754 sqmm
x) Percentage of Steel pt = Ast/(b*d) 0.00 %
Steel OK
C) Reinforcement Details
FILL