Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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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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The fiber AB has a length L and orientation u. 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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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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- Determine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.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_forwardIf a horizontal load applied to the bar AC causes point A to be displaced to the right by an amount ΔL, determine the normal strain in the wire AB. Originally, u = 45°.arrow_forward
- The polysulfone block is glued at its top and bottom to the rigid plates. If a tangential force, applied to the top plate, causes the material to deform so that its sides are described by the equation y = 3.56 x1>4, determine the shear strain at the corners A and B.arrow_forward600 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: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
- 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.arrow_forwardIf the force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of 0.02°, determine the normal strain in wires BD and CE.arrow_forward3. 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_forward
- Determine the internal forces at point J, with alpha = 0°arrow_forwardThe rod has a circular cross-section with a moment of inertia I. If a vertical force P is applied at A, determine the vertical displacement at this point. Only consider the strain energy due to bending. The modulus of elasticity is E.arrow_forwardA thin strip of rubber has an unstretched length of 15 in. If it is stretched around a pipe having an outer diameter of 5 in. determine the average normal strain in the strip.arrow_forward
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