After load P is applied to the pin-connected structure, a normal strain of = +650 μe is measured in the longitudinal direction of member (1). The cross-sectional area of member (1) is A₁1 = 0.6 in.², its elastic modulus is E₁ - 31000 ksi, and its yield strength is 33 ksi. Assume a=6.25 ft, b=7.75 ft, c=4.5 ft, and d=3.75 ft. (a) Determine the axial force in member (1), the applied load P, and the resultant force at pin B. (b) The ultimate shear strength of the steel pins is 52 ksi. Determine the minimum diameter for the pin at B if a factor of safety of 2.2 with respect to the ultimate shear strength is required. (c) Compute the factor of safety for member (1) with respect to its yield strength. (1) D 1.6377 B (a) Determine the axial stress o, in member (1). Answer: 0₁ = ksi. b

After load P is applied to the pin-connected structure, a normal strain of = +650 μe is measured in the longitudinal direction of member (1). The cross-sectional area of member (1) is A₁1 = 0.6 in.², its elastic modulus is E₁ - 31000 ksi, and its yield strength is 33 ksi. Assume a=6.25 ft, b=7.75 ft, c=4.5 ft, and d=3.75 ft. (a) Determine the axial force in member (1), the applied load P, and the resultant force at pin B. (b) The ultimate shear strength of the steel pins is 52 ksi. Determine the minimum diameter for the pin at B if a factor of safety of 2.2 with respect to the ultimate shear strength is required. (c) Compute the factor of safety for member (1) with respect to its yield strength. (1) D 1.6377 B (a) Determine the axial stress o, in member (1). Answer: 0₁ = ksi. b

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 7.6.13P: A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean...

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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

After load P is applied to the pin-connected structure, a normal strain of = +650 µe is measured in the longitudinal direction of
member (1). The cross-sectional area of member (1) is A₁ = 0.6 in.2, its elastic modulus is E₁ = 31000 ksi, and its yield strength
is 33 ksi. Assume a=6.25 ft, b=7.75 ft, c=4.5 ft, and d=3.75 ft.
(a) Determine the axial force in member (1), the applied load P, and the resultant force at pin B.
(b) The ultimate shear strength of the steel pins is 52 ksi. Determine the minimum diameter for the pin at B if a factor of safety
of 2.2 with respect to the ultimate shear strength is required.
(c) Compute the factor of safety for member (1) with respect to its yield strength.
(1)
a
D
Answer: 0₁ = 1.6377
B
(a) Determine the axial stress o, in member (1).
ksi.
b

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