4-1. The copper shaft is subjected to the axial loads shown. Determine the displacement of end A with respect to end D. The diameters of each segment are dAB = 3 in., dBc = 2 in., and dcD = 1 in. Take Ecu = 18(10³) ksi. 50 in.. 75 in. 60 in. 6 kip A 2 kip B2 kip Prob. 4-1 C 3 kip D 1 kip

4-1. The copper shaft is subjected to the axial loads shown. Determine the displacement of end A with respect to end D. The diameters of each segment are dAB = 3 in., dBc = 2 in., and dcD = 1 in. Take Ecu = 18(10³) ksi. 50 in.. 75 in. 60 in. 6 kip A 2 kip B2 kip Prob. 4-1 C 3 kip D 1 kip

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

4-1. The copper shaft is subjected to the axial loads
shown. Determine the displacement of end A with respect
to end D. The diameters of each segment are dAB = 3 in.,
dBc = 2 in., and dcD = 1 in. Take Ecu = 18(10³) ksi.
-50 in.-
75 in.
60 in.
6 kip
A
2 kip
B2 kip
Prob. 4-1
C 3 kip
D
1 kip

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