A cantilever beam of length and width b carries a UVL with zero intensity at free end and w kN/m at fixed end. Its depth varies linearly from zero at free end to 'd' at fixed end. What will be deflection at free end?

A cantilever beam of length and width b carries a UVL with zero intensity at free end and w kN/m at fixed end. Its depth varies linearly from zero at free end to 'd' at fixed end. What will be deflection at 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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

A cantilever beam of length and width b carries a UVL with zero intensity at free
end and w kN/m at fixed end. Its depth varies linearly from zero at free end to 'd'
at fixed end. What will be deflection at free end?

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