A beam is subjected to equal 13 kip-ft bending moments. Assume t₁ = t₂=tw 2 in., d = 15 in., b₁ = 6 in., and b₂ = 9 in. The cross-sectional dimensions of the beam are illustrated. Determine: (a) the distance y to the centroid (measured from the bottom), the moment of inertia l about the z axis, and the controlling section modulus S₂ about the z axis. (b) the bending stress o at point H (positive if tension, negative if compression). (c) the bending stress OK at point K (positive if tension, negative if compression). (d) the maximum bending stress max produced in the cross section (positive if tension, negative if compression). M M x 41 12 b₁ b₂ Cross section H K

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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A beam is subjected to equal 13 kip-ft bending moments. Assume t₁ = t₂=tw 2 in., d = 15 in., b₁ = 6 in., and b₂ = 9 in. The cross-sectional
dimensions of the beam are illustrated. Determine:
(a) the distance to the centroid (measured from the bottom), the moment of inertia l about the z axis, and the controlling section
modulus S₂ about the z axis.
(b) the bending stress o at point H (positive if tension, negative if compression).
(c) the bending stress o at point K (positive if tension, negative if compression).
(d) the maximum bending stress max produced in the cross section (positive if tension, negative if compression).
M
M
tu
b₁
b₂
Cross section
H
Transcribed Image Text:A beam is subjected to equal 13 kip-ft bending moments. Assume t₁ = t₂=tw 2 in., d = 15 in., b₁ = 6 in., and b₂ = 9 in. The cross-sectional dimensions of the beam are illustrated. Determine: (a) the distance to the centroid (measured from the bottom), the moment of inertia l about the z axis, and the controlling section modulus S₂ about the z axis. (b) the bending stress o at point H (positive if tension, negative if compression). (c) the bending stress o at point K (positive if tension, negative if compression). (d) the maximum bending stress max produced in the cross section (positive if tension, negative if compression). M M tu b₁ b₂ Cross section H
Answers:
(a) y =
(b) OH =
(c) OK
(c) omax =
i
i
i
i
in., I₂ =
psi.
psi.
psi.
i
in.4, S₂ =
i
in.³.
Transcribed Image Text:Answers: (a) y = (b) OH = (c) OK (c) omax = i i i i in., I₂ = psi. psi. psi. i in.4, S₂ = i in.³.
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