A beam is subjected to equal bending moments of Mz = 54 kip·ft. The cross-sectional dimensions are b1 = 6.7 in., d1 = 1.5 in., b2 = 0.55 in., d2 = 6.6 in., b3 = 2.2 in., and d3 = 1.7 in. 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. A beam is subjected to equal bending moments of M₂ = 54 kip.ft. The cross-sectional dimensions are b₁ = 6.7in., d₁ = 1.5 in., b₂ = 0.55 in., d₂ = 6.6 in., b3 = 2.2 in., and d3 = 1.7 in. Determine:(a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertiaabout 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 compressivestress is negative.b₁d₁M₂M₂Answer:(a) y=1₂=S=(b) OH =(c) OK =(d) Omax"in.in.4on.3ksiksiksiXZKb₂Hb3d₂dz

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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 bending moments of Mz = 54 kip·ft. The cross-sectional dimensions are b1 = 6.7 in., d1 = 1.5 in., b2 = 0.55 in., d2 = 6.6 in., b3 = 2.2 in., and d3 = 1.7 in. 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.

A beam is subjected to equal bending moments of M₂ = 54 kip.ft. The cross-sectional dimensions are b₁ = 6.7
in., d₁ = 1.5 in., b₂ = 0.55 in., d₂ = 6.6 in., b3 = 2.2 in., and d3 = 1.7 in. 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.
b₁
d₁
M₂
M₂
Answer:
(a) y=
1₂=
S=
(b) OH =
(c) OK =
(d) Omax
"
in.
in.4
on.3
ksi
ksi
ksi
X
Z
K
b₂
H
b3
d₂
dz

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