Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 2.2, Problem 15P
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.
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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:
If 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.
Two 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.
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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- Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. B 800 mm 600 mm Originally the cable is unstretched. Part A If a force is applied to the end B of the member and causes a normal strain in the cable of 0.00319 mm/mm, determine the displacement of point B. Express your answer to three significant figures and include appropriate units. µA ? AB = Value Unitsarrow_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_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_forward
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