P4.9 The pin-connected structure is subjected to a load P as shown in Figure P4.9. Inclined member (1) has a cross-sectional area of 250 mm² and has a yield strength of 255 MPa. It is connected to rigid member ABC with a 16-mm-diameter pin in a double shear connection at B. The ultimate shear strength of the pin material is 300 MPa. For inclined member (1), the minimum factor of safety with respect to the yield strength is FSmin = 1.5. For the pin connections, the minimum factor of safety with respect to the ultimate strength is FSmin = 3.0. (a) Based on the capacity of member (1) and pin B, determine the maximum allowable load P that may be applied to the structure. (b) Rigid member ABC is supported by a double shear pin connection at A. Using FSmin= 3.0, determine the minimum pin diameter that may be used at support A. 1.8 m 1.4 m C B A 2.3 m (1) FIGURE P49 D

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.10.9P: A square steel tube of a length L = 20 ft and width b2= 10.0 in. is hoisted by a crane (see figure)....
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P4.9 The pin-connected structure is subjected to a load P
P as shown in Figure P4.9. Inclined member (1) has a
cross-sectional area of 250 mm² and has a yield strength
of 255 MPa. It is connected to rigid member ABC with
a 16-mm-diameter pin in a double shear connection at
B. The ultimate shear strength of the pin material is 300
MPa. For inclined member (1), the minimum factor of
safety with respect to the yield strength is FSmin = 1.5.
For the pin connections, the minimum factor of safety
with respect to the ultimate strength is FSmin = 3.0.
(a) Based on the capacity of member (1) and pin B,
determine the maximum allowable load P that may be
applied to the structure.
(b) Rigid member ABC is supported by a double shear
pin connection at A. Using FSmin= 3.0, determine the
minimum pin diameter that may be used at support A.
1.8 m
1.4 m
C
B
2.3 m
(1)
FIGURE P4.9
D
Transcribed Image Text:P4.9 The pin-connected structure is subjected to a load P P as shown in Figure P4.9. Inclined member (1) has a cross-sectional area of 250 mm² and has a yield strength of 255 MPa. It is connected to rigid member ABC with a 16-mm-diameter pin in a double shear connection at B. The ultimate shear strength of the pin material is 300 MPa. For inclined member (1), the minimum factor of safety with respect to the yield strength is FSmin = 1.5. For the pin connections, the minimum factor of safety with respect to the ultimate strength is FSmin = 3.0. (a) Based on the capacity of member (1) and pin B, determine the maximum allowable load P that may be applied to the structure. (b) Rigid member ABC is supported by a double shear pin connection at A. Using FSmin= 3.0, determine the minimum pin diameter that may be used at support A. 1.8 m 1.4 m C B 2.3 m (1) FIGURE P4.9 D
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