A beam is subjected to equal 19.8 kip-ft bending moments. Assume t-t2-t2 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 S, about the z axis. (b) the bending stress at point H (positive if tension, negative if compression). (c) the bending stress og at point K (positive if tension, negative if compression). (d) the maximum bending stress Answers: produced in the cross section (positive if tension, negative if compression). (a) (b) a= -1675.052661057604 psi. (c) ok= 1293.175370453798 psi. (c) = -2334.658890282361 5.9210526315789474 in, I₂ 72042982456140351 Cross section psi H in". S₂- 101.770755885998 in.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author: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 6x 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).
Answers:
(a) - 5.9210526315789474 in., 1₂-
(b) all = -1675.052661057604 psi.
(c) ok= 1293.175370453798 psi.
-2334.658890282361 psi.
(c) mas
4
b₂
Cross section
720.42982456140351
in.4. S₂-
H
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 6x 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). Answers: (a) - 5.9210526315789474 in., 1₂- (b) all = -1675.052661057604 psi. (c) ok= 1293.175370453798 psi. -2334.658890282361 psi. (c) mas 4 b₂ Cross section 720.42982456140351 in.4. S₂- H 101.770755885998 in.³.
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