3.9 The stress components in a circular cylinder of length L and radius r are given by Ax, + Bx3 Cx3 -Cx2 Cx3 -Cx, (a) Verify that in the absence of body forces the equilibrium equations are satisfied. (b) Show that the stress vector vanishes at all points on the curved surface of the cylinder.

3.9 The stress components in a circular cylinder of length L and radius r are given by Ax, + Bx3 Cx3 -Cx2 Cx3 -Cx, (a) Verify that in the absence of body forces the equilibrium equations are satisfied. (b) Show that the stress vector vanishes at all points on the curved surface of the cylinder.

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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Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

3.9 The stress components in a circular cylinder of length L and radius r
are given by
Ax, + Bx3
Cx3
-Cx,
[o,)= Cx,
-Cx2
(a) Verify that in the absence of body forces the equilibrium equations
are satisfied.
(b) Show that the stress vector vanishes at all points on the curved
surface of the cylinder.

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