P4.9 In Figure P4.9, rigid beam AB is subjected to a distributed load that increases linearly from zero to a maximum intensity of wg = 17.5 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 = 2.8 m, b = 1.0 m, and c = 1.2 m. FIGURE P4.9. (a) The yield strength of member (1) is 340 MPa. A factor of safety of 1.67 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 270 MPa. A factor of safety of 2.50 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.

P4.9 In Figure P4.9, rigid beam AB is subjected to a distributed load that increases linearly from zero to a maximum intensity of wg = 17.5 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 = 2.8 m, b = 1.0 m, and c = 1.2 m. FIGURE P4.9. (a) The yield strength of member (1) is 340 MPa. A factor of safety of 1.67 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 270 MPa. A factor of safety of 2.50 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Basic Terminology in Mechanics

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Question

P4.9 In Figure P4.9, rigid beam AB is subjected to a distributed load that increases linearly from zero to a maximum
intensity of wg = 17.5 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 = 2.8 m, b = 1.0 m, and c = 1.2 m.
FIGURE P4.9.
(a) The yield strength of member (1) is 340 MPa. A factor of safety of 1.67 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 270 MPa. A factor of safety of 2.50 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.

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