A gondola on a ski lift is supported by two bent arms, as shown in the figure. Each arm is offset by the distance b=180 mm from the line of action of the weight force W. The allowable stresses in the arms are 100 MPa in tension and 50 MPa in shear. If the loaded gondola weighs 12 kN, what is the minimum diameter d of the arms? W

A gondola on a ski lift is supported by two bent arms, as shown in the figure. Each arm is offset by the distance b=180 mm from the line of action of the weight force W. The allowable stresses in the arms are 100 MPa in tension and 50 MPa in shear. If the loaded gondola weighs 12 kN, what is the minimum diameter d of the arms? W

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.20P: A gondola on a ski lift is supported by two bent arms, as shown in the figure. Each arm is offset by...

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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.

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A gondola on a ski lift is supported by two bent arms, as shown in the figure. Each arm
is offset by the distance b=180 mm from the line of action of the weight force W. The
allowable stresses in the arms are 100 MPa in tension and 50 MPa in shear. If the loaded
gondola weighs 12 kN, what is the minimum diameter d of the arms?
(a)
(b)

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