why is the deflection of the plate is in the coordinate 'c' direction instead of 'b' since the force P is applied in the 'b' direction?Also, why is the shear force on the front of the plate pointing right and the back pointing left? can it be the opposite where the front of the plate will have a shear force pointing left at the front and pointing right at the back? PROBLEM 2.79 Two blocks of rubber with a modulus of rigidity G = 12 MPa are bonded to rigidsupports and to a plate AB. Knowing that c = 100 mm and P = 40 kN, determine the smallestdimensions a and b of the blocks if the shearing stress in the rubber is not to exceed 1.4 MPaand the deflection of the plate is to be at least 5 mm.%3Dd = SmmP/2B.a ?P/2P/2PP/2P.= 40 kNShearing strain:y = 8/ a = t/ Ga = G 8/ t= 43 mm=100mmNote: tan y = Y(for small )

The poisson ratio is defined as ratio change in the lateral dimension to the original dimension. Due…

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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why is the deflection of the plate is in the coordinate 'c' direction instead of 'b' since the force P is applied in the 'b' direction?

Also, why is the shear force on the front of the plate pointing right and the back pointing left? can it be the opposite where the front of the plate will have a shear force pointing left at the front and pointing right at the back?

PROBLEM 2.79 Two blocks of rubber with a modulus of rigidity G = 12 MPa are bonded to rigid
supports and to a plate AB. Knowing that c = 100 mm and P = 40 kN, determine the smallest
dimensions a and b of the blocks if the shearing stress in the rubber is not to exceed 1.4 MPa
and the deflection of the plate is to be at least 5 mm.
%3D
d = Smm
P/2
B.
a ?
P/2
P/2
P
P/2
P.
= 40 kN
Shearing strain:
y = 8/ a = t/ G
a = G 8/ t= 43 mm
=100mm
Note: tan y = Y
(for small )

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