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-sectionaldimensions 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 sectionmodulus 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).MAnswers:(a) y =(b) GH =(c) ok =(c) max =iiiiMin., ₂= ipsi.psi.psi."₁12Inb₂kCross sectionHKin.4, S₂ = iin.³.

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Answered: A beam is subjected to equal 11 kip-ft…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

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 = t_w = 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.

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