Consider the beam shown in (Figure 1). EI is constant.Part ADetermine the expression for the elastic curve using the coordinate x1 for 0 < 1 ?Determine the expression for the elastic curve using the coordinate 2 for 0 < x2

Answered: Consider the beam shown in (Figure 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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Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has circular cross sections and length L. It is subjected to a distributed torque of intensity t per unit distance. The intensity varies linearly from t = 0 at the free end to a maximum value t = to at the support. Express your answer in terms of maximum value zo , length L, shear modulus G and polar moment of inertia Ip . U =
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Derive a formula for the strain energy U of the cantilever bar shown in the figure. The bar has circular cross sections and length R. It is subjected to a distributed torque of intensity z per unit distance. The intensity varies linearly from z = 0 at the free end to a maximum value z = zo at the support. Express your answer in terms of maximum value zo , length R, shear modulus G and polar moment of inertia Ip . U =
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Consider the beam shown in (Figure 1). EI is constant. Part A Determine the expression for the elastic curve using the coordinate x1 for 0 < 1 ? Determine the expression for the elastic curve using the coordinate 2 for 0 < x2