Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression γy/3E where γ = 2.9 lb/in.3 is the specific weight of the material, y = 3.4 in. is the distance from the free (i.e., bottom) end of the bar, L = 17 in. is the length of the bar, and E = 24000 ksi is a material constant. Determine,
(a) the change in length of the bar due to its own weight.
(b) the average normal strain over the length L of the bar.
(c) the maximum normal strain in the bar.
An acetal polymer block is fixed to the rigid plates at its top and bottom surfaces. If the top plate displaces 2 mm horizontally when it is subjected to a horizontal force P = 2 kN, determine the shear modulus of the polymer. The width of the block is 100 mm. Assume that the polymer is linearly elastic and use small-angle analysis.
The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where
y=2.4 lb/in.³ is the specific weight of the material, y = 0.6 in. is the distance from the free (i.e., bottom) end of the bar, L = 6 in. is the
length of the bar, and E=30000 ksi is a material constant. Determine,
(a) the change in length of the bar due to its own weight.
(b) the average normal strain over the length L of the bar
(c) the maximum normal strain in the bar.
Answer:
(a) 5 = 1
(b) Sa
(c) Emax=
i
x10-6 in.
με
με
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- The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.3 lb/in.³ is the specific weight of the material, y = 0.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 8 in. is the length of the bar, and E = 23000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar.arrow_forwardThe normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.0 lb/in.³ is the specific weight of the material, y = 2.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 14 in. is the length of the bar, and E = 20000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar (c) the maximum normal strain in the bar. Answer: (a) 8- i (b) Eavg (c) Emax = i x10-6 in. με μεarrow_forwardThe normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.9 lb/in.³ is the specific weight of the material, y = 0.5 in. is the distance from the free (i.e., bottom) end of the bar, L = 5 in. is the length of the bar, and E = 25000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Part 1 * Your answer is incorrect. Calculate the change in length of the bar due to its own weight. Answer: d= i 2.416 eTextbook and Media x10-6 in.arrow_forward
- The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.8 lb/in.3 is the specific weight of the material, y = 2.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 20 in. is the length of the bar, and E= 29000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Part 1 Your answer is correct. Calculate the change in length of the bar due to its own weight. Answer: 6 = 6.436 eTextbook and Media Part 2 * Your answer is incorrect. Calculate the average normal strain over the length of the bar. Answer: Eavi 3.22 x10-6 in. eTextbook and Media Save for Later με Attempts: 1 of 5 used Attempts: 2 of 5 used Part 3 The parts of this question must be completed in order. This part will be available when you complete the part above. Submit Answerarrow_forwardThe normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.8 lb/in.³ is the specific weight of the material, y = 2.0 in. is the distance from the free (i.e., bottom) end of the bar, L = 20 in. is the length of the bar, and E = 29000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Part 1 Calculate the change in length of the bar due to its own weight. Answer: ō= i eTextbook and Media Save for Later x10-6 in. Attempts: 0 of 5 used Submit Answer Part 2 The parts of this question must be completed in order. This part will be available when you complete the part above. Part 3 The parts of this question must be completed in order. This part will be available when you complete the part above.arrow_forwardThe normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 3.0 lb/in.³ is the specific weight of the material, y = 6.3 in. is the distance from the free (i.e., bottom) end of the bar, L = 21 in. is the length of the bar, and E = 27000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar (c) the maximum normal strain in the bar. Answer: (a) d = i (b) avg (c) Emax i x10-6 in. με μεarrow_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_forwardThe normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression vy/3E where y = 2.4 lb/in.³ is the specific weight of the material, y = 3.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 19 in. is the length of the bar, and E= 24000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Part 1 Calculate the change in length of the bar due to its own weight. Answer: d = i x10-6 in.arrow_forwardThe normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.3 lb/in.³ is the specific weight of the material, y = 2.4 in. is the distance from the free (i.e., bottom) end of the bar, L = 6 in. is the length of the bar, and E= 24000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar (c) the maximum normal strain in the bar. Answer: (a) d = i (b) avg (c) Emax || MI Mi x10-6 in. με μεarrow_forward
- 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.arrow_forwardThe normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression yy/3E where y = 2.4 lb/in.³ is the specific weight of the material, y = 1.8 in. is the distance from the free (i.e., bottom) end of the bar, L = 9 in. is the length of the bar, and E= 26000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar. Calculate the change in length of the bar due to its own weight. Answer: x10-6 in.arrow_forwardThe state of strain at the point on the leaf of the caster assembly has components of Ex = -400(10-6), y = 860(10-6), and Yxy = 375(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 0 = 30° counterclockwise from the original position. Sketch the deformed element due to these strains within the x-y plane.arrow_forward
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