Prob. 3.4-16. A uniform circular cylinder of diameter d and length L is made of material with modulus of elasticity E. It is fixed to a rigid wall at end A and subjected to distributed external axial loading of magnitude p(x) per unit length, as shown in Fig. P3.4-16a. The axial stress, (x), varies linearly with x as shown in Fig. P3.4-16b. (a) Determine an expression for the distributed loading, p(x). (Hint: Draw a free-body diagram of the bar from section x to section (x + Ax).) (b) Using Eq. 3.12, determine an expression for the axial displacement, u(x), of the cross section at distance x from end A. A (a) * u(x) p(x) B P3.4-16 08 (b)

Prob. 3.4-16. A uniform circular cylinder of diameter d and length L is made of material with modulus of elasticity E. It is fixed to a rigid wall at end A and subjected to distributed external axial loading of magnitude p(x) per unit length, as shown in Fig. P3.4-16a. The axial stress, (x), varies linearly with x as shown in Fig. P3.4-16b. (a) Determine an expression for the distributed loading, p(x). (Hint: Draw a free-body diagram of the bar from section x to section (x + Ax).) (b) Using Eq. 3.12, determine an expression for the axial displacement, u(x), of the cross section at distance x from end A. A (a) * u(x) p(x) B P3.4-16 08 (b)

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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