A beam is subjected to equal bending moments of M, 3800 N-m. The cross-sectional dimensions are b= 145 mm, c = 31 mm, d = 66 mm, and t = 4 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M- M2 H (typ) K b

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A beam is subjected to equal bending moments of M, = 3800 N-m. The cross-sectional dimensions are b= 145 mm, c = 31 mm, d = 66
mm, and t = 4 mm. Determine:
(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the
controlling section modulus about the z axis.
(b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative.
(c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative.
(d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative.
M-
M2
H
(typ)
K
Answer:
mm
(a) y=
25.034
881894.957
mm-
S= i
21527.485
mm3
MPa
(b) op =
-159.283.
MPa
(c) Ok=
90.633
MPa
(d) omax =
-176.519
Attempts: 2 of 3 used
Submit Answer
Transcribed Image Text:A beam is subjected to equal bending moments of M, = 3800 N-m. The cross-sectional dimensions are b= 145 mm, c = 31 mm, d = 66 mm, and t = 4 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M- M2 H (typ) K Answer: mm (a) y= 25.034 881894.957 mm- S= i 21527.485 mm3 MPa (b) op = -159.283. MPa (c) Ok= 90.633 MPa (d) omax = -176.519 Attempts: 2 of 3 used Submit Answer
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