(a) Determine the normal stress in rod (1). (b) Determine the factor of safety with respect to the yield strength for rod (1). (c) If a factor of safety of 3.1 with respect to the ultimate strength is specified for pin A, determine the minimum required pin diameter.

(a) Determine the normal stress in rod (1). (b) Determine the factor of safety with respect to the yield strength for rod (1). (c) If a factor of safety of 3.1 with respect to the ultimate strength is specified for pin A, determine the minimum required pin diameter.

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A concentrated load of P = 51 kips is applied to beam AB, as shown in the figure. Rod (1) has a diameter of 1.1 in., and its yield strength
is 78 ksi. Pin A is supported in a double shear connection, and the ultimate shear strength of pin A is 88 ksi.
Assume a=4.3 ft, b=8.2 ft, c-7.8 ft, d=8 in.
(a) Determine the normal stress in rod (1).
(b) Determine the factor of safety with respect to the yield strength for rod (1).
(c) If a factor of safety of 3.1 with respect to the ultimate strength is specified for pin A, determine the minimum required
pin diameter.
Answers:
B
(a) σ₁ =
(b) FS =
(c) d = i
i
i
a
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(1)
b
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ksi.
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Step 3: The Normal stress in rod 1.

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Step 4: The factor of safety with respect to yield strength for rod 1

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Step 5: The minimum required pin diameter

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