Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 2.2, Problem 9P
To determine
Normal strain in wires in
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The rigid beam is supported by a pin at A and wires BD and CE. If the load P on the beam causes the end C to be displaced 15 mm downward, determineA. the normal strain developed in wire CEB. the normal strain developed in wires BD.
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If the load P on the beam causes the end C to be displaced 10 mm downward, determine the normal strain in wires CE and BD.
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.
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 head H is connected to the cylinder of a compressor using six 316-in. diameter steel bolts. If the clamping force in each bolt is 800 lb, determine the normal strain in the bolts. If sY = 40 ksi and Est = 2911032 ksi, what is the strain in each bolt when the nut is unscrewed so that the clamping force is released?arrow_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_forwardThe 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_forward
- Determine natural strain at point Barrow_forwardDetermine 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 mmarrow_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 rod is 200 mm long and 60 mm in diameter. If an axial load of 300 N is applied to it, determine the change in its length, the change in its diameter, normal stress and normal strain. The Poisson's ratio is 0.4 and the modulus of elasticity is 20 GPa.arrow_forward6. A prismatic bar of length L is subjected to axial load P. Determine the maximum strain & along the bar length, given that the axial displacement along the member length varies according u = (12/L) × 10-3.arrow_forwardThe strain at a point is 780x10-6 in the x, 400x10-5 in the y and -500x10-6 in the z direction. Determine the stress state if the Young's modulus is 10,640 ksi and v = 0.33.arrow_forward
- 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_forwardThe pin-connected rigid rods AB and BC are inclined at u = 30° when they are unloaded. When the force P is applied u becomes 30.2°. Determine the average normal strain in wire AC.arrow_forwardThe two bars are used to support load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (-0.47 in., -0.16 in.). Assume a - 17 ft, b-34 ft, c-12 ft, and d - 24 ft. Determine the normal strain in each bar. Answer: EAB- T EBC i P a e (1) B UE με b (2) C darrow_forward
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