Answered: Problem 3 Find the deflection of the…

Problem 3 Find the deflection of the beam at point D using Castigliano's theorem. The Young's modulus is E = 29 × 106 ksi and the cross-section has a moment of inertia of I = 68.9 inª.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

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Problem 3
Find the deflection of the beam at point D using Castigliano's theorem. The Young's modulus is
E = 29 × 106 ksi and the cross-section has a moment of inertia of I = 68.9 inª.
q(x) = 1.8 kip/ft
A 4.5 ft D
7.5 ft
B

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GIVEN DATA

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THEORY OF CASTIGLIANO'S THEOREM

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DETERMINATION OF MOMENT EXPRESSION IN BEAM

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DETERMINATION OF DEFLECTION AT (D)

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