The bell-crank mechanism shown is in equilibrium for an applied load of F₁ = 10 kN applied at A. Assume a = 300 mm, b = 110 mm, c = 80 mm, and 0= 70°. The pin at B has a diameter of d = 12 mm and an ultimate shear strength of 450 MPa. The bell crank and the support bracket each have an ultimate bearing strength of 575 MPa. Determine (a) the factor of safety in pin B with respect to the ultimate shear strength. (b) the factor of safety of the bell crank at pin B with respect to the ultimate bearing strength. (c) the factor of safety in the support bracket with respect to the ultimate bearing strength. F₁ (1) Answers: (a) FSB= (b) FSg= (c) FSB = i Bracket- BI B →-8 mm 6 mm b 5 mm Connection detail (2) 30° F₂

Mechanics of Materials (MindTap Course List)
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ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.8.3P
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The bell-crank mechanism shown is in equilibrium for an applied load of F₁ = 10 kN applied at A. Assume a = 300 mm, b = 110 mm, c =
80 mm, and 0 = 70°. The pin at B has a diameter of d = 12 mm and an ultimate shear strength of 450 MPa. The bell crank and the
support bracket each have an ultimate bearing strength of 575 MPa. Determine
(a) the factor of safety in pin B with respect to the ultimate shear strength.
(b) the factor of safety of the bell crank at pin B with respect to the ultimate bearing strength.
(c) the factor of safety in the support bracket with respect to the ultimate bearing strength.
(1)
Answers:
(a) FSg=
(b) FSg=
(c) FSB =
i
Mi
i
a
Bracket
B
B
→-8 mm
6 mm
b
6 mm
Connection
detail
130⁰
Transcribed Image Text:The bell-crank mechanism shown is in equilibrium for an applied load of F₁ = 10 kN applied at A. Assume a = 300 mm, b = 110 mm, c = 80 mm, and 0 = 70°. The pin at B has a diameter of d = 12 mm and an ultimate shear strength of 450 MPa. The bell crank and the support bracket each have an ultimate bearing strength of 575 MPa. Determine (a) the factor of safety in pin B with respect to the ultimate shear strength. (b) the factor of safety of the bell crank at pin B with respect to the ultimate bearing strength. (c) the factor of safety in the support bracket with respect to the ultimate bearing strength. (1) Answers: (a) FSg= (b) FSg= (c) FSB = i Mi i a Bracket B B →-8 mm 6 mm b 6 mm Connection detail 130⁰
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