Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 2.2, Problem 4FP
The 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.
F2–4
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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.
The 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.
(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 mm
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 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 plate is deformed into the dashed shape shown in Fig. 2-6a. If in this deformed shape horizontal lines on the plate remain horizontal and do not change their length, determine (a) the average normal strain along the side AB, and (b) the average shear strain in the plate relative to the x and y axes.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_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_forwardDetermine the average normal strain along diagonal DB, based on the original plate (blue) and the deformed shaped (dashed line): 2 mm y C 300 mm 12 mm D -400 mm A 5 mm B 3 mm 4 mm 12 mm Xarrow_forwardThe block is deformed into the position shown by the dashed lines. Determine the average normal strain along with line AB.arrow_forward
- The rectangular plate is deformed into the shape shown by the dashed lines. Determine the average normal strain along with diagonal AC, and the average shear strain at corner A relative to the x, y axes.arrow_forwardThe piece of rubber was rectangular in shape before the application of loads which deformed it to the shape bounded by the dashed lines. Determine the shear strain at corner A. Also determine the normal strain along diagonal DB I 3 mm- 400 mm 300 mm- B 2 mmarrow_forwardDetermine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.arrow_forward
- Mechanics of materials Iarrow_forwardThe 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_forwardGiven a rectangular plate which is deformed as shown by the broken line.Determine the average shear strain of the plate.arrow_forward
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