A homogenous isotropic material of size 20 cm x 20 cm x 20 cm is placed inside a rigid box of internal dimension 20 x 20 x 20 cm. The top of the box is open and the material inside is subjected to a uniform compressive stress of 10 N/mm² from the top. Assuming there is no friction between the surface of contact, find the stresses on the side faces of the material. Also find maximum shear stress, the normal stresses on the plane of maximum shear stress and the change of volume of the material. Young's modulus E is 1 x 105 N/mm² and Poisson's ratio, m = 0.3 for the material. S 10 N/mm 20 cm 20 cm-

A homogenous isotropic material of size 20 cm x 20 cm x 20 cm is placed inside a rigid box of internal dimension 20 x 20 x 20 cm. The top of the box is open and the material inside is subjected to a uniform compressive stress of 10 N/mm² from the top. Assuming there is no friction between the surface of contact, find the stresses on the side faces of the material. Also find maximum shear stress, the normal stresses on the plane of maximum shear stress and the change of volume of the material. Young's modulus E is 1 x 105 N/mm² and Poisson's ratio, m = 0.3 for the material. S 10 N/mm 20 cm 20 cm-

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

Solid Mechanics

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

A homogenous isotropic material of size 20 cm x cm x 20 cm is
placed inside a rigid box of internal dimension 20 x 20 x 20 cm. The
top of the box is open and the material inside is subjected to a
uniform compressive stress of 10 N/mm² from the top. Assuming
there is no friction between the surface of contact, find the stresses
on the side faces of the material. Also find maximum shear
stress, the normal stresses on the plane of maximum shear stress
and the change of volume of the material. Young's modulus E is
1 x 105 N/mm² and Poisson's ratio, m = 0.3 for the material.
S
10 N/mm²
20 cm
20 cm-

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3. An ASTM A36 structural steel beam 5.00 m long is placed between two rigid supports. When the temperature is 20°C, there is no stress in the bar. Compute the stress developed in the beam if the temperature rises to 45°C. Assume that the proportional limit is 235 MPa. a = 11.7 x 10-6 1/C° E = 207 GPa