A beam is subjected to equal bending moments of Mz = 3200 N · m. The cross-sectional dimensions are b = 130 mm, c = 25 mm, d = 69 mm, and t = 8 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.

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 Mz = 3200 N · m. The cross-sectional dimensions are b = 130 mm, c = 25 mm, d = 69 mm, and t = 8 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.

mm, and t = 8 mm. Determine:
(a) the centroid location (measured with respect to the bottom of the cross-section), the mome
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
M2
y
H
d
(typ)
K
b.
x.
Answer:
IL
2N
Transcribed Image Text:mm, and t = 8 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the mome 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 M2 y H d (typ) K b. x. Answer: IL 2N
Answer:
(a) y= 25.96
mm
4
mm
%3D
= 2|
S =
mm3
(b) OH =
MPa
(c) OK =
! MPa
%3D
(d) Omax
MPa
Save for Later
Using multinle attempts will impact your score.
Transcribed Image Text:Answer: (a) y= 25.96 mm 4 mm %3D = 2| S = mm3 (b) OH = MPa (c) OK = ! MPa %3D (d) Omax MPa Save for Later Using multinle attempts will impact your score.
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