The beam is built in at both ends and loaded by a distributed load which has the constant intensity w at the first two thirds of the beam length and linearly decreases from w to zero over the remaining part of the beam length (Fig. 1). Find the equation for the w value at the onset of the plastic collapse in terms of the beam cross-section fully plastic moment, Mp, and I. W 21 Fig. 1

The beam is built in at both ends and loaded by a distributed load which has the constant intensity w at the first two thirds of the beam length and linearly decreases from w to zero over the remaining part of the beam length (Fig. 1). Find the equation for the w value at the onset of the plastic collapse in terms of the beam cross-section fully plastic moment, Mp, and I. W 21 Fig. 1

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

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

The beam is built in at both ends and loaded by a distributed load
which has the constant intensity w at the first two thirds of the beam length and linearly
decreases from w to zero over the remaining part of the beam length (Fig. 1). Find the
equation for the w value at the onset of the plastic collapse in terms of the beam cross-sectio
fully plastic moment, Mp, and I.
W
2/
Fig. 1

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