Problem 3 The steel rod shown in the figure is stress- free before the axial loads P1 = 150 kN and P2 = 90 kN are applied to the rod. Assuming that the walls are rigid, calculate the axial stress in each segment after the loads are applied. Use E = 200 GPa

Problem 3 The steel rod shown in the figure is stress- free before the axial loads P1 = 150 kN and P2 = 90 kN are applied to the rod. Assuming that the walls are rigid, calculate the axial stress in each segment after the loads are applied. Use E = 200 GPa

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.5.17P: A copper bar AB with a length 25 in. and diameter 2 in. is placed in position at room temperature...

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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

Problem 3 The steel rod shown in the figure is stress-
free before the axial loads P1 = 150 kN and P2 = 90
kN are applied to the rod. Assuming that the walls
are rigid, calculate the axial stress in each segment
after the loads are applied. Use E = 200 GPa
A
A = 900 mm²
500 mm
A = 2000 mm²
B
P₂
A = 1200 mm²
с
-250 mm 350 mm
D

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