Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 2.2, Problem 33P
The fiber AB has a length L and orientation θ. If its ends A and B undergo very small displacements uA and vB respectively, determine the normal strain in the fiber when it is in position A′B′.
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Determine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.
Determine the shear strain gxy at corners D and C if the plastic distorts as shown by the dashed lines.
600 mm
B
800 mm
Part 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 0.004 mm/mm,
determine the displacement of point B. Originally
the cable is unstretched.
Hint: After determining the stretched length of AB,
use law of cosines to determine 0; then use to
determine the arc length over which point B
displaces.
Answer (UNITS!!!!):
Displacement of point B is:
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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- When force P is applied to the rigid arm ABC, point B displaces vertically downward through a distance of 0.2 mm. Determine the normal strain in wire CD.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_forwardIf a force is applied to the end B of the member and causes a normal strain in the cable of 0.0050 mm/mm, determine the displacement of point B.arrow_forward
- 3. A thin strip of rubber has an initial length of 25 in. If it is stretched around a pipe having an outer diameter of 7 in., determine the average normal strain in the strip.arrow_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_forwardDetermine the internal forces at point J of the structurearrow_forward
- The force P at D causes the rigid bar CBD to rotate by 0 = 0.5°. The flexible cable AB was unstretched before the application of the force. Determine the normal strain in the cable and the horizontal displacement of point D. A 16" D B C -0-- 12" 12" Parrow_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_forwardThe nylon cord has an original length L and is tied to a bolt at A and a roller at B. If a force P is applied to the roller, determine the normal strain in the cord when the roller is at C, and at D. If the cord is originally unstrained when it is at C, determine the normal strain P′ D when the roller moves to D. Show that if the displacements Δ C and Δ D are small, then P′ D = PD − PC.arrow_forward
- PROBLEM 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_forwardThe metal stud punch is subjected to a force of 120 N on the handle. determine the magnitude of the reactive force at the pin A and in the short link BC. Also, determine the resultant internal loadings acting on the cross section at point D.arrow_forwardThe wire AB is unstretched when u = 45°. If a load is applied to the bar AC, which causes u to become 47°, determine the normal strain in the wire.arrow_forward
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