Answered: P A da de = 2da L-

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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Question

The tapered cantilever beam AB shown in the
figure has a solid circular cross section. The diameters
at the ends A and B are d_A and d_B =2dA, respectively.
Thus, the diameter d and moment of inertia I
at distance x from the free end are, respectively,

d=(d_A/L)(L+x)

I = (πd⁴/64) = (πd⁴_A/64L⁴)(L+x)⁴ = (I_A/L⁴)(L+x)⁴

in which I_A is the moment of inertia at end A of the
beam.
Determine the equation of the deflection curve
and the deflection δ_A at the free end of the beam due
to the load P.

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