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Consider member (1). Use the yield stress, the factor of safety, and the force to calculate the minimum cross-sectional area required for member(1). A1= ? (unit mm^2)

Consider member (1). Use the yield stress, the factor of safety, and the force to calculate the minimum cross-sectional area required for member(1). A1= ? (unit mm^2)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider member (1). Use the yield stress, the factor of safety, and the force to calculate the minimum cross-sectional area required for member(1). A1= ? (unit mm^2)
Rigid beam AB is subjected to a distributed load that increases linearly from zero to a maximum intensity of wB = 24.5 kN/m. Beam AB is supported by a single-shear pin connection at joint A and by a double-shear connection to member (1) at joint B. Member (1) is connected to the support at C with a double-shear pin connection. Use dimensions of a = 2.3 m, b 0.9 m, and c = 1 m. (a) The yield strength of member (1) is 309 MPa. A factor of safety of 1.7 with respect to the yield strength is required for the normal stress of member (1). Determine the minimum cross-sectional area required for member (1). (b) The ultimate shear strength of the material used for pins A, B, and Cis 210 MPa. A factor of safety of 2.8 with respect to the ultimate shear strength is required for the pins, and all three pins are to have the same diameter. Determine the minimum pin diameter that may be used. WB (1) a
Transcribed Image Text:Rigid beam AB is subjected to a distributed load that increases linearly from zero to a maximum intensity of wB = 24.5 kN/m. Beam AB is supported by a single-shear pin connection at joint A and by a double-shear connection to member (1) at joint B. Member (1) is connected to the support at C with a double-shear pin connection. Use dimensions of a = 2.3 m, b 0.9 m, and c = 1 m. (a) The yield strength of member (1) is 309 MPa. A factor of safety of 1.7 with respect to the yield strength is required for the normal stress of member (1). Determine the minimum cross-sectional area required for member (1). (b) The ultimate shear strength of the material used for pins A, B, and Cis 210 MPa. A factor of safety of 2.8 with respect to the ultimate shear strength is required for the pins, and all three pins are to have the same diameter. Determine the minimum pin diameter that may be used. WB (1) a
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