Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 2.2, Problem 3FP
The rectangular plate is deformed into the shape of a parallelogram shown by the dashed line. Determine the average shear strain at corner A with respect to the x and y axes.
F2–3
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The rectangular plate is deformed into the shape
shown by the dashed lines. Determine the average
normal strain along diagonal AC, and the average
shear strain at corner A relative to the x, y axes.
y
6 mm
-400 mm
2 mm
2 mm
300 mm
16 mm
2 mm
x
A
B
-400 mm
-3 mm
Determine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.
Chapter 2 Solutions
Mechanics of Materials
Ch. 2.2 - When force P is applied to the rigid arm ABC,...Ch. 2.2 - If the force P causes the rigid arm ABC to rotate...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The triangular plate is deformed into the shape...Ch. 2.2 - The square plate is deformed into the shape shown...Ch. 2.2 - Prob. 2PCh. 2.2 - The square deforms into the position shown by the...Ch. 2.2 - Prob. 9PCh. 2.2 - Prob. 13PCh. 2.2 - Part of a control linkage for an airplane consists...
Ch. 2.2 - Prob. 16PCh. 2.2 - A thin wire, lying along the x axis, is strained...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The polysulfone block is glued at its top and...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The nonuniform loading causes a normal strain in...Ch. 2.2 - The fiber AB has a length L and orientation . If...Ch. 2.2 - If the normal strain is defined in reference to...
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- The piece of plastic is originally rectangular. Determine the average normal strain that occurs along the diagonals AC and DB. Determine the shear strain at corners A and B if the plastic distorts as shown by the dashed lines.arrow_forwardIf the plate distorts as shown by the dashed lines, determine (a) the shear strain Yy at corners C and D, and (b) the average normal strain that occurs along the diagonals ху AC and DB. y 5 mm, 2 mm 4 mm 2 mm; C 300 mm 2 mm D А 400 mm 3 mmarrow_forward2-11. Determine the shear strain Yxy at corners D and C if the plastic distorts as shown by the dashed lines. 3 mm C 300 mm D 4 mm -400 mm 12 mm B A 5 mm 8 mm 12 mm 2arrow_forward
- The block is deformed into the position shown by the dashed lines with d= 107 mm Determine the average normal strain along line ABarrow_forwardGiven a rectangular plate which is deformed as shown by the broken line.Determine the average shear strain of the plate.arrow_forward(a) Determine the shear strain at corner A if the plate distorts as shown by the dashed line. (b) Determine the average normal strain that occurs along the diagonal AC and DB. 5 mm 2 mm 4 mm 2 mm IB 300 mm $2 mm D A 400 mm 3 mmarrow_forward
- The square plate is such that L = 273 mm. The corners of the square plate are given the displacements di = 7.027 mm and d2 = 4.014 mm. What is the shear strain along the edge of the plate at B? d2 L di di d2arrow_forwardThe undeformed length of the bar is 300mm. It is subjected to a Shear Strain Defined by; y = kx (y is the symbol of shear strain). Find the magnitude of delta Y.arrow_forwardThe triangular plate is deformed into the shape shown by the dashed line. Determine the normal strain along edge BC and the average shear strain at corner A with respect to the x and y axes.arrow_forward
- The square deforms into the position shown by the dashed lines. Determine the shear strain at each of its corners, A, B, C, and D, relative to the x, y axes. Side D′B′ remains horizontal.arrow_forwardThe square plate is deformed into the shape shown by the dashed line. Determine the average normal strain along with diagonal AC and the shear strain at point E with respect to the x and y axes.arrow_forwardThe block is deformed into the position shown by the dashed lines. Determine the average normal strain along with line AB.arrow_forward
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