A beam is subjected to equal 21.6 kip-ft bending moments. Assume t₁-t₂-tw-2 in., d-18 in., b₁-6 in., and b₂-8 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 inertial about the z axis, and the controlling section modulus S₂ about the z axis. (b) the bending stress 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). b₁ b₂ Cross section H K

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A beam is subjected to equal 21.6 kip-ft bending moments. Assume t₁-t₂-tw-2 in., d - 18 in., b₂ - 6 in., and b₂ - 8 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 /₂ 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
Answers:
(a) y-i
(b) G₁ =
(c) OK =
(c) max =
i
i
in., ₂-i
psi.
psi.
psi.
17
b₂
Cross section
K
in.4, S₂- i
in.³.
Transcribed Image Text:Current Attempt in Progress A beam is subjected to equal 21.6 kip-ft bending moments. Assume t₁-t₂-tw-2 in., d - 18 in., b₂ - 6 in., and b₂ - 8 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 /₂ 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 Answers: (a) y-i (b) G₁ = (c) OK = (c) max = i i in., ₂-i psi. psi. psi. 17 b₂ Cross section K in.4, S₂- i in.³.
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