55 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/mm? 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 1x 105 N/mm and Poisson's ratio m = 0.3 for the material.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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0,55 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/mm? 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/mm? and Poisson's ratio m = 0.3 for the material.
10 N/mm
20 cm
20 cm-
Transcribed Image Text:0,55 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/mm? 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/mm? and Poisson's ratio m = 0.3 for the material. 10 N/mm 20 cm 20 cm-
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