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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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

FIGURE P2.11
Transcribed Image Text:FIGURE P2.11
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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