Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the normal stress in each rod must be limited to 170 MPa, determine the minimum diameter d₂ required for rod (2).

Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the normal stress in each rod must be limited to 170 MPa, determine the minimum diameter d₂ required for rod (2).

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.14P: Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82...

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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

X
Two solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If the normal stress in each rod must be
limited to 170 MPa, determine the minimum diameter d2 required for rod (2).
d₂
d₁
140 KN
80 KN
140 KN
C
A ↑
45.5 mm
49.0 mm
O 35.3 mm
38.7 mm
O 53.8 mm
B

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