A beam is subjected to equal 19.8 kip-ft bending moments. Assume t₁-t2-tw 2 in., d-13 in., b₁-4 in., and b2-6 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 (c) the bending stress (d) the maximum bending stress at point H (positive if tension, negative if compression). at point K (positive if tension, negative if compression). x produced in the cross section (positive if tension, negative if compression).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A beam is subjected to equal 19.8 kip-ft bending moments. Assume t₁-t2-tw 2 in., d-13 in., b₁-4 in., and b2-6 in. The cross-
sectional dimensions of the beam are illustrated. Determine:
(a) the distance 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 at point K (positive if tension, negative if compression).
(d) the maximum bending stress
x produced in the cross section (positive if tension, negative if compression).
Answers:
(a) - 5.9210526315789474
(b) = -1675.052661057604 psi.
psi.
(c) ok= 1293.175370453798
(c) m
in., /₂-
= -2334.658890282361 psi.
4₁
b₁
720.42982456140351
by
Cross section
in.4.5₂-
H
K
101.770755885998
in.³.
Transcribed Image Text:A beam is subjected to equal 19.8 kip-ft bending moments. Assume t₁-t2-tw 2 in., d-13 in., b₁-4 in., and b2-6 in. The cross- sectional dimensions of the beam are illustrated. Determine: (a) the distance 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 at point K (positive if tension, negative if compression). (d) the maximum bending stress x produced in the cross section (positive if tension, negative if compression). Answers: (a) - 5.9210526315789474 (b) = -1675.052661057604 psi. psi. (c) ok= 1293.175370453798 (c) m in., /₂- = -2334.658890282361 psi. 4₁ b₁ 720.42982456140351 by Cross section in.4.5₂- H K 101.770755885998 in.³.
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