A beam is subjected to equal 11 kip-ft bending moments. Assume t1 = t2 = tw = 1 in., d = 14 in., b1 = 3 in., and b2 = 5 in. The cross-sectional dimensions of the beam are illustrated. Determine: (a) the distance to the centroid (measured from the bottom), the
A beam is subjected to equal 11 kip-ft bending moments. Assume t1 = t2 = tw = 1 in., d = 14 in., b1 = 3 in., and b2 = 5 in. The cross-sectional dimensions of the beam are illustrated. Determine: (a) the distance to the centroid (measured from the bottom), the
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A beam is subjected to equal 11 kip-ft bending moments. Assume t1 = t2 = tw = 1 in., d = 14 in., b1 = 3 in., and b2 = 5 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 I about the z axis, and the controlling section modulus S about the z axis.
(b) the bending stress at point H (positive if tension, negative if compression).
(c) the bending stress at point K (positive if tension, negative if compression).
(d) the maximum bending stress produced in the cross section (positive if tension, negative if compression).
![A beam is subjected to equal 11 kip-ft bending moments. Assume t₁ = t2=tw= 1 in., d = 14 in., b₁ = 3 in., and b2 = 5 in. The cross-sectional
dimensions of the beam are illustrated. Determine:
(a) the distancey to the centroid (measured from the bottom), the moment of inertia I, 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 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
Answers:
(a) y =
(b) GH =
(c) ok =
(c) max =
i
i
i
i
M
in., ₂= i
psi.
psi.
psi.
"₁
12
In
b₂
k
Cross section
H
K
in.4, S₂ = i
in.³.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b00a80b-0cea-48b5-891f-9a9beccbf082%2F6d24eb5e-af43-414f-a881-2e441ffc396a%2Fnk0ujxf_processed.png&w=3840&q=75)
Transcribed Image Text:A beam is subjected to equal 11 kip-ft bending moments. Assume t₁ = t2=tw= 1 in., d = 14 in., b₁ = 3 in., and b2 = 5 in. The cross-sectional
dimensions of the beam are illustrated. Determine:
(a) the distancey to the centroid (measured from the bottom), the moment of inertia I, 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 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
Answers:
(a) y =
(b) GH =
(c) ok =
(c) max =
i
i
i
i
M
in., ₂= i
psi.
psi.
psi.
"₁
12
In
b₂
k
Cross section
H
K
in.4, S₂ = i
in.³.
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