Consider a free body diagram of rigid beam AB. Calculate the magnitude of the resultant force at A and the magnitude of the force in bar (1). WBa

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Consider a free body diagram of rigid beam AB. Calculate the magnitude of the resultant force at A and the magnitude of the force
in bar (1).
Wg a
2
WB
Ax
a
b.
Answer:
A -
kN
F1= i
kN
Transcribed Image Text:Consider a free body diagram of rigid beam AB. Calculate the magnitude of the resultant force at A and the magnitude of the force in bar (1). Wg a 2 WB Ax a b. Answer: A - kN F1= i kN
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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