Course Contents. ||. Department Details. ||. Message Board. ||. Module 1 · Module 2 · Module 3 · Module 4 · Module 5 · Module 6 · Module 7. Structural Analysis 2. View Test Prep – m8l19 from CI 11 at JNTU College of Engineering. Module 8 Reinforced Concrete Slabs Version 2 CE IIT, Kharagpur Lesson 19 Two-way. Version 2 CE IIT Kharagpur Typical cross section through the embankment portion from CIVIL at Indian Institute of Technology, Kharagpur.

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The fixed end actions de to external loading are, F w MA. I they More information. Analyse cables sbjected to concentrated loads. Smmary In this lesson, the arch definition is given. Cable sbjected to niform load.

A magnetic field B heat C forces D neutrons E lasers 2. Taking A as the origin, the eqation of the arabolic arch may be written as, Taking moment of all the loads abot B leads to, y.

## Version 2 CE IIT, Kharagpur

Introdction Cables and arches are closely related to each other and hence they are groed in this corse in the same modle. The relation between axial dislacement and axial forces is derived in chater. Primary objective of the force method is to More information. The global member stiffness matrix k is given by, T k T k T ‘. Equilibrium of Rigid Bodies A rigid body is said to in equilibrium if the vector sum of ALL forces and all their moments taken about. If the weight of the cable is negligible gersion comared with the externally alied loads then its self weight is neglected in the analysis.

In the case of lane frames, members are oriented in different directions and hence before forming the global stiffness matrix it is necessary to refer all the member stiffness matrices to the same set of axes. Two degrees of freedom one translation and one rotation are considered at each end of the member.

However, sort settlements can never be revented altogether and khatagpur it is necessary to make rovisions in design for ftre neqal vertical settlements of sorts and robable rotations of fixed sorts. Two-hinged arch and fixed-fixed arch are statically indeterminate strctres.

Writing the load dislacement relation for the entire continos beam. In earlier days arches were constrcted sing stones and bricks. Imose bondary conditions on the load-dislacement relation. Analyse cables sbjected to niformly distribted load.

However, the Dupuit assumption do not allow for a seepage face above an outflow side.

This may be comactly written as, q’ T T. In oit above eqation, s is the length of the centerline of the arch, I is the moment of inertia of the arch cross section, E is the Yong s modls of the arch material. Opanuga American Jornal of omptational and Applied Mathematics4 5: The operations of addition, sbtraction, and mltiplication. Sbstitting the vale of y C in eqationcan be evalated.

### Version 2 CE IIT, Kharagpur | EduRev Notes

T k T k ‘ T The assembled global stiffness matrix K is of the order9 9. Write the global load-dislacement relation for the beam. College of Engineering Mysore 1. It is sbjected to axial tension only and it is always acting tangential to the cable at any oint along the length. Tye of arches There are mainly three tyes of arches that are commonly sed in ractice: Analyse continos beams by the direct stiffness method. This is More information. First constrct the member stiffness matrix for each member.

Evalate horizontal thrst in three-hinged arch.

As arches are sbjected to comression, it mst be designed to resist bckling. The internal stress resltants at a cross-section of a lane frame member consist of bending moment, shear force and an axial force.

Write strain energy stored in two-hinged arch dring deformation.

### Version 2 CE IIT, Kharagpur – PDF

By the end More information. Evidence of extraction of water from dug wells has been found in the archeological remnants of Mohenjodaro. Solving Eqations in Qadratic Form, Eqations Redcible to Qadratics Now that we can solve all qadratic eqations we want to solve eqations that are kharag;ur eactly qadratic bt can either be made to look qadratic.

Usally, the horizontal reaction is treated as the redndant and is evalated by the method of least work. At joint in the frame shown in Fig Hence, the degree of statical indeterminacy is one for twohinged arch. State whether plane frames are restrained against sidesway or not. In the next lesson few roblems are solved to illstrate the method so far discssed. The effect of temeratre changes and sort settlements can easily be incororated in the direct stiffness method and is discssed in this lesson.

Introdction Mainly three tyes of arches are sed in ractice: Motion in a circle Mechanics Lecture Notes Notes for lectures 2 and 3: In sch cases cable is assmed to be niformly loaded.

Calclate the location and magnitde of maximm bending moment in the arch. For long san strctres for e. Analyse continos beam sbjected to temeratre changes and sort settlements. In the first lesson of this modle, cables sbjected to niform and concentrated loads are discssed. The rocedres to analyse cables carrying concentrated load and niformly distribted loads are develoed. When beam is restrained, the temeratre change indces fixed end moments in the beam as shown in Fig.