Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 2.2, Problem 2.22P
The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the shear strain, γxy. at A.
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The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the shear strain, gxy, at A.
The rectangular plate is subjected to the deformation shown by the dashed line. Determine the average shear strain gxy in the plate.
If 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
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AC and DB.
y
5 mm,
2 mm
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Chapter 2 Solutions
Mechanics of Materials (10th Edition)
Ch. 2.2 - A loading causes the member to deform into the...Ch. 2.2 - A loading causes the mamber to deform into the...Ch. 2.2 - A loading causes the wires to elongate into the...Ch. 2.2 - A loading causes the block to deform into the...Ch. 2.2 - A loading causes the block to deform into the...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 - The square deforms into the position shown by the...Ch. 2.2 - The pin-connected rigid rods AB and BC are...Ch. 2.2 - The wire AB is unstretched when = 45. If a load...Ch. 2.2 - If a horizontal load applied to the bar AC causes...Ch. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - The material distorts into the dashed position...Ch. 2.2 - The material distorts into the dashed position...Ch. 2.2 - Part of a control linkage for an airplane consists...Ch. 2.2 - Part of a control linkage for an airplane consists...Ch. 2.2 - The nylon cord has an original length L and is...Ch. 2.2 - A thin wire, lying along the x axis, is strained...Ch. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - Determine the average normal strain that occurs...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 corners of the square plate are given the...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The block is deformed into the position shown by...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 rectangular plate undergoes a deformation...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 triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5 mm. Determine the average normal strain Px along the x axis.arrow_forwardDetermine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.arrow_forwardTwo fully loaded tractor trailers travel over the bridge putting substantial loading on the structure. As they pass over the middle of the bridge, one of the vertical supporting pillars, which is fixed at its bottom, deforms as shown below. The weight of the trucks causes point T to move to point T'—a distance of 2.5 cm along the x-axis. If the pillar has an original height of 27 m , find the shear strain at point T.arrow_forward
- 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_forwardPROBLEM 2: The retangular plate is deformed into the shape of a rhombus shown by the dashed line Deteminethe average shear strain at corner A with respect tothex and y axis. mm D 400 mm В A 14 mm - 300 mm-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 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_forwardThe distributed loading is applied to the rigid beam, which is supported by the three bars. Each bar has a cross-sectional area of 0.75 in2 and is made from a material having a stress–strain diagram that can be approximated bythe two line segments. Determine the intensity of the distributed loading w that will cause the beam to displace downward 1.5 in.arrow_forwardPart of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. If a force is applied to the end B of the member and causes a normal strain in the cable of 0.00317 mm>mm, determine the displacement of point B. Originally the cable is unstretched.arrow_forward
- 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.arrow_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 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_forward
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