Questions from Mechanics


Q: A cast-iron plate in biaxial stress is subjected to tensile

A cast-iron plate in biaxial stress is subjected to tensile stresses σx = 31 MPa and σy = 17 MPa (see figure). The corresponding strains in the plate are εx = 240 &A...

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Q: Solve the preceding problem for a steel plate with σx = 11

Solve the preceding problem for a steel plate with σx = 11,600 psi (tension), σy = -5700 psi (compression), εx = 450 × 1026 (elongation), and Î&mi...

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Q: A rectangular plate in biaxial stress (see figure) is subjected

A rectangular plate in biaxial stress (see figure) is subjected to normal stresses σx = 67 MPa (tension) and σy = -23 MPa (compression). The plate has dimensions 400 Ã...

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Q: Solve the preceding problem for an aluminum plate with σx = 12

Solve the preceding problem for an aluminum plate with σx = 12,000 psi (tension), σy = 23000 psi (compression), dimensions 20 × 30 × 0.5 in, E = 10.5 &A...

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Q: A brass cube of 48 mm on each edge is compressed in

A brass cube of 48 mm on each edge is compressed in two perpendicular directions by forces P = 160 kN (see figure). (a) Calculate the change ∆V in the volume of the cube and the stra...

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Q: A 4.0 in. cube of concrete (E =

A 4.0 in. cube of concrete (E = 4.5 × 106 psi, v = 0.2) is compressed in biaxial stress by means of a framework that is loaded as shown in the figure. Assuming that each load...

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Q: A square plate of a width b and thickness t is loaded

A square plate of a width b and thickness t is loaded by normal forces Px and Py and by shear forces V, as shown in the figure. These forces produce uniformly distributed stresses acting on the side f...

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Q: Solve the preceding problem for an aluminum plate with b = 10

Solve the preceding problem for an aluminum plate with b = 10 in, t = 0.75 in., E = 10,600 ksi, v = 0.33, Px = 96 kips, Py = 24 kips, and V = 18 kips. For part (b) of Problem 12, assume that the requi...

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Q: A rectangular beam with semicircular notches, as shown in part b

A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 0.88 in. and h1 = 0.80 in. The maximum allowable bending stress in the metal beam is σmax...

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Q: A simple log bridge in a remote area consists of two parallel

A simple log bridge in a remote area consists of two parallel logs with planks across them (see figure). The logs are Douglas fir with an average diameter 300 mm. A truck moves slowly acro...

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