A piece of rubber block is placed in an open rectangular box made out of metal as shown in the figure below. Four sides of the rubber block are in contact with the inner faces of the box. The pressure, P, of 20 MPa, is applied onto the top face of the rubber block as shown. The rubber block has a rectangular cross-section with a breath of 40 mm, a width of 30 mm, and a height of 20 mm before the pressure, P, is applied. The modulus of the rubber is 40 MPa. The Poisson's ratio is 0.45. Upon the exertion of the pressure on the rubber block, the shape of the metal box remains unchanged, thus it is considered rigid. (a) Determine the pressure exerted between the confined faces of the rubber block and the box. (b) Determine the change to the height of the rubber block. rubber block 40 mm 20 mm box 30 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A piece of rubber block is placed in an open rectangular box made out of metal as shown in the figure below. Four sides of the rubber
block are in contact with the inner faces of the box. The pressure, P, of 20 MPa, is applied onto the top face of the rubber block as
shown. The rubber block has a rectangular cross-section with a breath of 40 mm, a width of 30 mm, and a height of 20 mm before
the pressure, P, is applied. The modulus of the rubber is 40 MPa. The Poisson's ratio is 0.45. Upon the exertion of the pressure on the
rubber block, the shape of the metal box remains unchanged, thus it is considered rigid.
(a) Determine the pressure exerted between the confined faces of the rubber block and the box.
(b) Determine the change to the height of the rubber block.
rubber block
40 mm
20 mm
box
30 mm
Transcribed Image Text:A piece of rubber block is placed in an open rectangular box made out of metal as shown in the figure below. Four sides of the rubber block are in contact with the inner faces of the box. The pressure, P, of 20 MPa, is applied onto the top face of the rubber block as shown. The rubber block has a rectangular cross-section with a breath of 40 mm, a width of 30 mm, and a height of 20 mm before the pressure, P, is applied. The modulus of the rubber is 40 MPa. The Poisson's ratio is 0.45. Upon the exertion of the pressure on the rubber block, the shape of the metal box remains unchanged, thus it is considered rigid. (a) Determine the pressure exerted between the confined faces of the rubber block and the box. (b) Determine the change to the height of the rubber block. rubber block 40 mm 20 mm box 30 mm
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