thin rectangular polymer plate PQRS of width b = 400 mm and height a = 180 mm is shown in Figure P2.11. The plate is deformed so that corner Q is displaced upward by c = 3.0 mm and corner R is displaced leftward by the same amount. Determine the shear strain at corner P after deformation
thin rectangular polymer plate PQRS of width b = 400 mm and height a = 180 mm is shown in Figure P2.11. The plate is deformed so that corner Q is displaced upward by c = 3.0 mm and corner R is displaced leftward by the same amount. Determine the shear strain at corner P after deformation
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
A thin rectangular polymer plate PQRS of width
b = 400 mm and height a = 180 mm is shown in
Figure P2.11. The plate is deformed so that
corner Q is displaced upward by c = 3.0 mm and
corner R is displaced leftward by the same
amount. Determine the shear strain at corner P
after deformation
Expert Solution
Step 1
To determine the shear strain at corner P.
Given,
Length (a) = 180 mm
Length (b) = 400 mm
Length (c) = 3 mm
The shear strain at corner of a rectangular plate can be given as the change in angle between the adjacent line segments at that corner.
Sign notation:
(+) : If the changed angle is less than 90o
(-) : If the changed angle is greater than 90o
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