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 ABis supported by a single-shear pin connection at joint A and by a double-shear connection to member (1) at joint B. Member (1) isconnected 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 normalstress 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 theultimate shear strength is required for the pins, and all three pins are to have the same diameter. Determine the minimum pindiameter that may be used.WB(1)a

Wb=24.5 kN/mσy= 309 MPaFOS= 1.7To determine- a) Cross sectional area required for member 1.

Answered: Consider member (1). Use the yield…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

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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

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