Global Modelling of the Space Weather Chain (2016)

Shree Swami atmanand saraswati inst. of technology, surat

This document discusses the slope deflection method of structural analysis. It begins with an introduction that describes slope deflection as a displacement method where slopes and displacements are unknowns used to find end moments. It then lists the assumptions of rigid joints and negligible distortion. Sign conventions for rotations are defined. The derivation of slope deflection equations is outlined. An example problem is presented to calculate support moments in a continuous beam due to a vertical settlement, with the solution shown.

This document discusses the moment distribution method for analyzing statically indeterminate structures. It begins with an introduction of the method developed by Prof. Hardy Cross in 1930. Important terms are defined such as stiffness, carry over factor, and distribution factor. Fixed end moments are explained for various load cases like centric loading, eccentric loading, uniform distributed load, and uniform varying load. Two examples are provided - a simply supported beam and a two story building analyzed using the moment distribution method.

Anguler measurement

Moment area theorem

Samanta Mostafa

1) The document discusses using the moment area method to solve for the deflection of a statically indeterminate beam. 2) It provides the theorems of the moment area method and outlines the process of drawing the M/EI diagram, elastic curve, and using the theorems to calculate slope change and vertical deviation. 3) As an example, it then applies the method to find the maximum downward deflection of a small aluminum beam with an applied force of 100N, showing the steps of determining the redundant reaction, drawing the diagrams, and using the theorems.

Slope deflection method

Abhishek Kansara

Analysis of non sway frame portal frames by slopeand deflection method

nawalesantosh35

The slope deflection method is a displacement method used to analyze statically indeterminate beams and frames. It involves solving for the slope and deflection of members at their joints, which are the basic unknowns. Equations are developed relating the fixed end moments, slopes, and relative deflections of each member. These equations are set up and solved to determine the bending moments in each member. The method is demonstrated through examples solving for the bending moments in non-sway and sway frames.

3 d solid modeling

manuelhgomez

This document covers topics in engineering geometry and 3D modeling, including: - Coordinate systems such as Cartesian, polar, cylindrical and spherical. - Geometric elements like points, lines, planes and curves. - Common curves including circles, conics, splines and freeform curves. - Surfaces such as ruled surfaces, single and double curved surfaces, and polyhedra. - 3D modeling techniques including wireframes, surface and solid modeling.

Direct integration method

Mahdi Damghani

The document discusses methods for determining the deflection and slope of beams, specifically the integration method and Macaulay's bracket method. It provides an example problem solved using the integration method to find the deflection at a point and slope at another point for a simply supported beam with two concentrated loads. The document also introduces Macaulay's bracket method using singularity functions as an alternative to the integration method for problems with multiple loads to avoid lengthy calculations. It provides an initial step for an example problem solved using this method.

Designing mr shim arrays with irregular coil geometry theoretical considerations

ieeepondy

Deflection

Shivendra Nandan

This document discusses beam design criteria and deflection behavior of beams. It covers two key criteria for beam design: 1) Strength criterion - the beam cross section must be strong enough to resist bending moments and shear forces. 2) Stiffness criterion - the maximum deflection of the beam cannot exceed a limit and the beam must be stiff enough to resist deflections from loading. It then defines deflection, slope, elastic curve, and flexural rigidity. It presents the differential equation that relates bending moment, slope, and deflection. Methods for calculating slope and deflection including double integration, Macaulay's method, and others are also summarized.

10.01.03.128 ( statically indeterminate structure:moment coefficient method)

Saif Ahmed

This document presents information on analyzing statically indeterminate structures using the moment coefficient method. It defines what a statically indeterminate structure is, provides an example, and discusses the moment coefficient method for analyzing continuous beams, ribs, and two-way slabs. It describes using tables of moment coefficients based on load cases and support conditions to determine maximum shear forces and bending moments. The document also discusses requirements for reinforcement spacing and minimum reinforcement in slabs.

lab12_NathanWendt

Nathan Wendt

1) The document reports on a beam analysis simulation where beams were subjected to uniform and non-uniform loads. 2) Maximum displacements, stresses, and bending moments were reported from the simulation for different mesh element sizes. 3) Beam differential equations were derived for uniform and non-uniform loads and solved to find theoretical deflections. 4) The theoretical deflections did not match the simulation results, likely due to additional loading conditions and deflection absorption in the simulation that were not accounted for in the simplified theoretical model.

L9 slope deflection method

This document describes the slope deflection method of structural analysis. It assumes joints are rigid and distortions from axial/shear stresses are negligible. It derives the slope deflection equations by considering member end rotations and loads. The method solves for unknown end moments, slopes, and displacements. An example problem calculates support moments in a continuous beam due to settlement of one support, using slope deflection equations and drawing shear/moment diagrams.

10.01.03.005

badhanxy

This document presents information on moments of inertia based on a course titled "pre-stressed concrete". It introduces moments of inertia and how they are calculated based on the distribution of mass or area relative to a given axis. Formulas are provided for calculating the moments of inertia of basic shapes like rectangles and circles through integration. The parallel axis theorem is also described, which relates the moments of inertia about different axes passing through an object. Examples are worked through, such as finding the moment of inertia of a triangle with respect to its base.

L18 analysis of indeterminate beams by moment distribution method

The document discusses the moment distribution method for analyzing indeterminate beams. It begins with an overview of the method and some basic definitions. It then describes the step-by-step process, which involves (1) computing fixed end moments by assuming locked joints, (2) releasing joints causing unbalanced moments, (3) distributing unbalanced moments according to member stiffnesses, (4) carrying moments over to other joints, and (5) repeating until moments converge. Key terms discussed include stiffness factors, carry-over factors, and distribution factors.

Moment of inertia of non symmetric object

Intishar Rahman

This document discusses moment of inertia calculations for non-symmetric structural shapes. It provides examples of calculating the neutral axis location, transformed moment of inertia about the strong axis, and moment of inertia about the weak axis for "T-shaped" beams. The process involves determining the centroid of the overall shape, then using the parallel axis theorem to calculate the transformed moment of inertia by summing the moments of inertia of individual pieces after accounting for the distance from each piece's centroid to the neutral axis.

moire

beerappa143

This document provides an overview of moiré techniques. It defines moiré patterns as interference patterns produced when two similar gratings are overlaid at a slight angle. Moiré patterns can reveal differences or deformations between the two gratings. The document discusses how moiré patterns are formed and analyzed mathematically. It also outlines several applications of moiré techniques, such as displacement measurement, stress analysis, and contour mapping.

Chapter v 2. moment area method

MARTIN ATHIYO

The document discusses methods for calculating deflections in structures, specifically the moment area method. It provides examples of using the moment area method to calculate slopes and deflections at various points along beams and frames by relating the bending moment diagram area to slope changes and vertical deflections using theorems. Sample problems are worked through step-by-step to demonstrate calculating slopes and deflections for beams under different loading conditions.

Three moment theorem

Dr. Santhosh Malkapur

This document discusses the derivation and application of three-moment equations for analyzing statically indeterminate continuous beams. The key points are: 1) Three-moment equations relate the bending moments at three successive supports to the applied loads on adjacent spans. They allow continuous beams to be analyzed by treating each span as simply supported with end moments. 2) The equations are derived by writing compatibility equations at each interior support in terms of the left, center, and right bending moments. 3) Examples show how to set up and solve the three-moment equations to determine support reactions and draw shear and moment diagrams for continuous beams with various loading conditions.

311 Ch13

gaconnhome1987

The document discusses the concepts of shear and bending moment in beams. It describes how to determine the reaction forces at supports using free body diagrams and equilibrium equations. It then explains how to calculate the internal shear and bending moment at different points along a beam by cutting sections and applying equilibrium. Finally, it provides a step-by-step process for constructing shear and bending moment diagrams, including determining slopes and the locations of maximum values.

solving statically indeterminate stucture using stiffnes method

Syed Md Soikot

This document is a presentation on the stiffness method for structural analysis. It was presented by ABU SYED MD. TARIN to the Department of Civil Engineering at Ahsanullah University of Science & Technology on December 4, 2013. The presentation introduces the stiffness method and how it can be used to analyze determinate and indeterminate structures. It also discusses how to apply the stiffness method to analyze trusses, beams, frames and other structural elements.

[Challenge:Future] A Solar Crisis

Challenge:Future

An unprecedented scale of massive solar storms could wreak havoc on Earth. Solar storms result from solar flares and coronal mass ejections from the Sun that discharge electromagnetic radiation and high-energy particles. These solar storms can have major consequences such as disabling power grids and causing electrical outages, damaging satellites and disrupting GPS systems, and potentially harming health through prolonged electromagnetic radiation exposure. Better forecasting of solar storms, hardening infrastructure, improving satellite design, and individual preparedness planning are needed to mitigate risks from solar superstorms.

7 electrical current and its effects

Shree Swami atmanand saraswati inst. of technology, surat

The passage discusses different effects of electric current. It describes how an electric current passing through a wire causes it to heat up due to the heating effect of electric current. It also explains the magnetic effect where an electric current passing through a wire causes it to behave like a magnet. This is demonstrated through an experiment showing deflection of a compass needle placed near a wire with current flowing through it. The passage introduces the concept of an electromagnet, where wrapping a coil of wire around a nail and passing current through it causes the nail to behave like a magnet and attract pins placed near it.

What's hot

Mdm

B.B.N. Bhai Patel

Anguler measurement

Moment area theorem

Samanta Mostafa

Slope deflection method

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Analysis of non sway frame portal frames by slopeand deflection method

nawalesantosh35

3 d solid modeling

manuelhgomez

Direct integration method

Mahdi Damghani

Designing mr shim arrays with irregular coil geometry theoretical considerations

ieeepondy

Deflection

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10.01.03.128 ( statically indeterminate structure:moment coefficient method)

Saif Ahmed

lab12_NathanWendt

Nathan Wendt

L9 slope deflection method

10.01.03.005

badhanxy

L18 analysis of indeterminate beams by moment distribution method

Moment of inertia of non symmetric object

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moire

beerappa143

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311 Ch13

gaconnhome1987

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What's hot (20)

Mdm

Anguler measurement

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Analysis of non sway frame portal frames by slopeand deflection method

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Deflection

10.01.03.128 ( statically indeterminate structure:moment coefficient method)

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7 weather, climate and animal adaptations to climate

This document provides information about weather, climate, and how animals adapt to climate. It discusses how weather is measured and reported, and how it varies daily. The maximum and minimum temperatures are recorded each day using special thermometers. Weather describes short-term conditions, while climate refers to average weather patterns over a long period, usually 25 years. The document includes a sample weather report, instructions for an activity to collect weather reports, and tables showing climate data for two cities in India to illustrate differences in climate between places.

7 light

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7 fibre to fabric

This document discusses the process of obtaining wool from sheep and silk from silkworms. It begins by describing how wool is obtained from the fleece of sheep and other animals like goats, yaks, and camels. Specific breeds of sheep in India that are sources of wool are also mentioned. The multi-step process of processing the fleece into usable wool fibers and yarn is then outlined. It then shifts to discussing silk, noting that silk fibers come from the cocoons of silk moths. The life cycle of silk moths is briefly described, focusing on how the caterpillars (silkworms) produce silk fibers by secreting them from their heads as they spin coco

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Anabocas

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Moon and earth cycles (teach)

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Acceleration due to gravity

ndward

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7 forest - our lifeline.

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Motions of the earth

The document discusses the motions of the Earth - rotation and revolution. It provides the following key details: 1. The Earth rotates on its axis, completing one rotation in 24 hours, which causes day and night. It revolves around the Sun, taking 365.25 days to complete one revolution. 2. The Earth's axis is inclined at an angle of approximately 23.5 degrees relative to the orbital plane. This inclination causes the seasons. 3. A leap year has 366 days to account for the extra time in the Earth's revolution around the Sun.

Growing microbes

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Ch 11 Earths rotation and revolution

CDA-PamelaOrtiz

Revolution & rotation

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The document discusses the differences between revolution and rotation as they relate to Earth. Revolution is the movement of Earth around the sun, taking 365.25 days to complete at a speed of about 18 miles per second. Rotation is the spinning of Earth on its axis, taking 24 hours to complete at a speed of about 1,038 miles per hour. Examples are given of objects revolving or rotating to further illustrate the concepts.

THE CHURCH’S AUTHORITY GROWS

Jamaica Olazo

The authority of the Catholic Church grew during this period as popes sought to prevent secular rulers from interfering in church affairs and ensure Christians followed church teachings. Monastic orders like the Benedictines and Cluniacs demanded higher moral standards from clergy and more independence from secular control. Meanwhile, the Investiture Controversy saw Pope Gregory VII and Emperor Henry IV clash over who had authority to appoint bishops, demonstrating the increasing political power and influence of the papacy. This period also saw the establishment of the College of Cardinals, religious reforms, and calls for the church to combat heresy through the Inquisition.

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Graduate seminar (2014)

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Modelling Optical Waveguide Bends by the Method of Lines

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Advanced Approach for Slopes Measurement by Non - Contact Optical Technique

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This document discusses the three-dimensional evolution of magnetic flux ropes ejected from the Sun as they propagate through the solar system. It notes that flux rope evolution should be studied in three dimensions and outlines several tools and measurements needed to track and constrain flux ropes, including their orientation in 3D, signatures in the lower corona, coronagraph observations, in-situ measurements, and their propagation through the solar wind magnetic field including deflection toward the equatorial plane and rotation toward the heliospheric current sheet due to kinematic interactions.

Talk from EGU (2013)

This document discusses the three-dimensional evolution of magnetic flux ropes ejected from the Sun as they propagate through the solar system. It notes that studying flux rope evolution requires a three-dimensional analysis and using multiple tools, including coronagraph observations of flux ropes in the lower corona, in-situ measurements as constraints, and modeling their propagation through the solar wind using MHD simulations. As flux ropes travel through the solar system, they experience deflection towards the equatorial plane and rotation towards the heliospheric current sheet due to kinematic interactions.

Talk from the meeting of the steering committee of HELCATS (2014)

The document discusses the work package 4 (WP4) goals of an research project including: 1) Developing a REST framework to access in-situ data from multiple spacecraft without downloading. 2) Deciding on techniques like Grad-Shafranov modeling and minimum variance analysis to analyze flux rope structures. 3) Determining which parameters to include in the catalog such as event times, speeds, and modeling results. 4) Addressing issues like how to categorize complex events and connect the catalog to other solar and heliospheric catalogs.

Talk from EGU (2015)

This document outlines a study of the 3D evolution of fast and slow coronal mass ejections (CMEs) from the Sun to 1 astronomical unit (AU). The study used observations from multiple instruments and modeling techniques to track two CME events - a slow CME with initial speed of 300 km/s and a fast CME with initial speed of 1238 km/s. The results showed the fast CME experienced most of its deflection in the lower corona, while the slow CME deflected substantially in the inner heliosphere. Both CMEs experienced over 90% of their rotation in the lower corona. The magnitudes and patterns of deflection and rotation for these events were consistent with previous studies of average-

Lectio Praecursoria from PhD defence (2014)