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 2.10P
Determine the shear strain γxy at corners A and B if the plastic distorts as shown by the dashed lines.
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Determine the shear strain gxy at corners A and B if the plastic distorts as shown by the dashed lines.
Determine the shear strain Y., at corners A and B if the
plastic distorts as shown by the dashed lines
SOLUTION
Geometry: Referring to the geometry shown in Fie a the small.anoto ancheir mins
3 mm
300 mm
4 mm
12 mm
B
mm
8 mm
mm
Problem #3: Determine the shear strain yry at corners A and B if the plastic distorts as shown
by the dashed line.
12 mm
4 mm
8 mm
3 mm
300 mm
2 mm
D
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5
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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 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_forwardDetermine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.arrow_forwardThe material distorts into the dashed position shown. Determine the average normal strains along with the diagonals AD and CF.arrow_forward
- The force P is applied to the bar, which is made from an elastic perfectly plastic material. Construct a graph to show how the force in each section AB and BC (vertical axis) varies as P (horizontal axis) is increased. The bar has cross-sectional areas of 1 in2 in region AB and 4 in2 in region BC. Take sY = 30 ksi.arrow_forwardThe ratio of longitudinal strain to the lateral strain of the object is known as Poisson's ratio Select one: O True O Falsearrow_forwardA thin wire, lying along the x axis, is strained such that each point on the wire is displaced Δx = kx2 along the x axis. If k is constant, what is the normal strain at any point P along the wire?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_forwardThe average normal strain and half the maximum in-planeshear strain is determined from the circle as the coordinates. True or false?arrow_forwardThe material distorts into the dashed position shown. Determine the average normal strains Px, Py and the shear strain gxy at A, and the average normal strain along line BE.arrow_forward
- An air-filled rubber ball has a diameter of 6 in. If the air pressure within the ball is increased until the diameter becomes 7 in., determine the average normal strain in the rubber.arrow_forwardF is being held by two cables AB and CB. If the applied force P creates a displacement at point E equal to 3 mm, calculate the strain in cable CB and AB.arrow_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_forward
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