of Mechanics Solids 180:243
Fall 2007
Exam I Review Problems
Problem 1 Problem 2 The connection shown below consists of five steel plates, each 5 mm thick, joined by a single 6-mm diameter bolt. The total load transferred between the plates is 6000 N, distributed among the plates as shown. (a) Calculate the largest shear stress in the bolt, disregarding friction between the plats. (b) Calculate the largest bearing stress acting against the bolt.
Problem 3 A steel bar 2.4 m long has a circular cross section of diameter d1 = 20mm over one-half of its length and diameter d 2 = 12mm over the other half. The modulus of elasticity E = 205GPa . (a) How much will the bar elongate under a tensile load P = 22kN ? (b) If the same volume of material is made into a bar of constant diameter d and length 2.4 m, what will be the elongation under the same load P?
Problem 4
1. Problem: Compute A/B, B/C, C/D, A, B Given: Steel (E=29000 ksi) AAB = 1 in2, ABD = 2 in2
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Mechanics of Solids 180:243 Problem 5 L=6 ft
Fall 2007 Problem 6 A hollow steel shaft ACB of outside diameter 50 mm and inside diameter 40 mm is held against rotation at ends A and B. Horizontal forces P are applied at the ends of a vertical arm that is welded to the shaft at point C. Determine the allowable value of the forces P I if the maximum permissible shear stress in the shaft is 55 MPa.
T
For the solid steel shaft shown (G=11.2x106 psi), determine the maximum allowable torque, T, that can be applied at A given: allow=20 ksi and max=8 Problem 7
Compute the angle of tilt for bar AC (in radians) Given: Bars AB, CD, and EF are titanium (E=17400 ksi). Bar AC is considered rigid.
Problem 8
Determine the forces exerted on the rigid supports when the temperature is raised from T1=10C to T2 = 20C.
Mechanics of Solids 180:243 Problem 6
Fall 2007