1. A flexible connection consisting of rubber pads (thickness t= 9mm) bonded to steel plates is shown in the figure. The pads are 160mm long and 80mm wide. a. Find the average shear strain in the rubber if the force P =16KN and the shear modulus of the rubber is G = 1250kPa. b. Find the relative horizontal displacement between the interior plate and the outer plates. 160 mm- Rubber pad Rubber pad 80 mm 9 mm 1=9 mm Section X-X

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Please put detailed solution. Topic: Mechanics of Deformable Bodies
1. A flexible connection consisting of rubber pads (thickness t= 9mm) bonded to steel plates
is shown in the figure. The pads are 160mm long and 80mm wide.
a. Find the average shear strain in the rubber if the force P =16KN and the shear
modulus of the rubber is G = 1250kPa.
b. Find the relative horizontal displacement between the interior plate and the outer
plates.
160 mm
X-
Rubber pad
X
\Rubber pad
80 mm
%3D9 mm
1=9 mm
Section X-X
2. A standard brick ( dimensions 200mm x 100mm x 65mm) is compressed lengthwise by a
force Pas shown. If the ultimate shear stress for the brick is 8MPA, that occurs at an inclination
of 45° with the horizontal, and the ultimate compressive stress is 26 MPa, what is the axial
deformation of the brick? Modulus of elasticity of the brick is 2.65 GPa.
200 mm
mm 65 mm
Transcribed Image Text:1. A flexible connection consisting of rubber pads (thickness t= 9mm) bonded to steel plates is shown in the figure. The pads are 160mm long and 80mm wide. a. Find the average shear strain in the rubber if the force P =16KN and the shear modulus of the rubber is G = 1250kPa. b. Find the relative horizontal displacement between the interior plate and the outer plates. 160 mm X- Rubber pad X \Rubber pad 80 mm %3D9 mm 1=9 mm Section X-X 2. A standard brick ( dimensions 200mm x 100mm x 65mm) is compressed lengthwise by a force Pas shown. If the ultimate shear stress for the brick is 8MPA, that occurs at an inclination of 45° with the horizontal, and the ultimate compressive stress is 26 MPa, what is the axial deformation of the brick? Modulus of elasticity of the brick is 2.65 GPa. 200 mm mm 65 mm
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