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 B (1) a
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 B (1) a
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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All three pins are to have the same diameter. Determine the minimum pin diameter that may be used.
d= ? (unit mm)
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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