3b-ex. Shear Stress Examples
Ex. 3b.1 Ex. 3b.2
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| Example 3b.1
Given: A rectangular piece of Jello, h=2 inches tall by L=6 inches wide, sits on a plate with a piece of aluminum foil on top. The foil is moved to the right by w=0.1 inch, with the Jello sticking to it.
Req'd: Determine the shear strain in the Jello.
Sol'n: The shear strain is the reduction in right angle (in radians):
g = w/h= (0.1 in.)/(2 in.) = g = 0.05 = 5.0%
This value of strain (5%) is much larger than that in typical engineering systems.
Given: A pipe of average diameter D=1.0 in. and thickness t=0.050 in. is twisted by a wrench with a torque of T = Pd = 20 lb-in.
Req'd: Estimate the shear stress in the thin-walled pipe
due only to the torque.
Sol'n: Shear stress for the thin-walled pipe is:
t = 255 psi
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