5_17 - 5.17 Rigid bar ABC is supported by bronze rod (1)...

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5.17 Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown in Fig P5-17. A concentrated load P is applied to the free end of aluminum rod (3). Bronze rod (1) has an elastic modulus of E 1 = 15,000 ksi and a diameter of d 1 = 0.50 in. Aluminum rod (2) has an elastic modulus of E 2 = 10,000 ksi and a diameter of d 2 = 0.75 in. Aluminum rod (3) has a diameter of d 3 = 1.0 in. The yield strength of the bronze is 48 ksi and the yield strength of the aluminum is 40 ksi. (a) Determine the magnitude of load P that can safely be applied to the structure if a minimum factor of safety of 1.67 is required. (b) Determine the deflection of point D for the load determined in part (a). (c) The pin used at B has an ultimate shear strength of 54 ksi. If a factor of safety of 3.0 is required for this double shear pin connection, determine the minimum pin diameter that can be used at B . Fig. P5.17 Solution Before beginning, the cross-sectional areas of the three rods can be calculated from the specified diameters: 22 2 12 3 0.196350 in. 0.441786 in. 0.785398 in.
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5_17 - 5.17 Rigid bar ABC is supported by bronze rod (1)...

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