1. A cantilever beam of length L with stepwise constant cross section carries a vertical load P at its free end. The section of the beam changes midway along its length so that the second moment of area of its cross section is reduced by half. The smaller section is towards the free end. If E is constant, determine the deflection at the free end.

1. A cantilever beam of length L with stepwise constant cross section carries a vertical load P at its free end. The section of the beam changes midway along its length so that the second moment of area of its cross section is reduced by half. The smaller section is towards the free end. If E is constant, determine the deflection at the free end.

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

1. A cantilever beam of length L with stepwise constant cross section carries a vertical load P at
its free end. The section of the beam changes midway along its length so that the second
moment of area of its cross section is reduced by half. The smaller section is towards the free
end. If E is constant, determine the deflection at the free end.

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