Answered: A circular steel shaft has a radius of…

Engineering

Mechanical Engineering

A circular steel shaft has a radius of 0.05 m. The shaft is supported by rollers at A and B. A F₁ C F₂ D F3 E B

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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

100%

the figure may not be to scale.
Variable
By =
Mmax =
d₁
I =
F₁
max
F₂
F3
Value
1.1 m
a. Determine the reaction force at point A, A.
b. Determine the reaction force at point B, B.
c. Determine max internal bending moment on the beam,
460 N
Mmax
i. Hint: It occurs at the center. Make a cut to the
left of point D. Then do M = 0
d. Determine the moment of inertia of the shaft, I.
e. Determine the magnitude of the max bending stress in
the shaft, max.
Round your final answers to 3 significant digits/figures.
Ay =
240 N
550 N
N
N
ma
Nm
kPa

10:59 A
A circular steel shaft has a radius of 0.05 m. The shaft is
supported by rollers at A and B.
F₁
F₂
JIL
D
d₁
Variable
d₁
F₁
F₂
d₁
F3
Values for the figure are given in the following table. Note
the figure may not be to scale.
Value
1.1 m
wamap.org
460 N
240 N
550 N
d₁
F3
E
d₁
B
a. Determine the reaction force at point A, Ay.
b. Determine the reaction force at point B, By.
c. Determine max internal bending moment on the beam,
Mmax:
i. Hint: It occurs at the center. Make a cut to the
left of point D. Then doΣM = 0
d. Determine the moment of inertia of the shaft, I.
e. Determine the magnitude of the max bending stress in
the shaft, max

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