A beam is subjected to equal 20.5 kip-ft bending moments. Assume t₁ = t₂=tw 1 in., d = 10 in., b₁ = 5 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 sect modulus S₂ about the z axis. (b) the bending stress , 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 N b₁ H

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A beam is subjected to equal 20.5 kip-ft bending moments. Assume t₁ = t₂=tw 1 in., d = 10 in., b₁ = 5 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 I, about the z axis, and the controlling sect
modulus S₂ about the z axis.
(b) the bending stress , 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 omax produced in the cross section (positive if tension, negative if compression).
M
N
M
X
4₁
↑
Ask
Z
tw
b₁
b₂
H
K
d
Transcribed Image Text:A beam is subjected to equal 20.5 kip-ft bending moments. Assume t₁ = t₂=tw 1 in., d = 10 in., b₁ = 5 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 I, about the z axis, and the controlling sect modulus S₂ about the z axis. (b) the bending stress , 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 omax produced in the cross section (positive if tension, negative if compression). M N M X 4₁ ↑ Ask Z tw b₁ b₂ H K d
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