P8.5 A beam is subjected to equal bending moments of M₂ = 45 kip-ft, as shown in Figure P8.5a. The cross-sectional dimensions (Figure P8.5b) are b₁ = 7.5 in., d₁ = 1.5 in., b2 = 0.75 in., d₂ = 6.0 in., b3 = 3.0 in., and d3=2.0 in. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. State whether the normal stress at H is tension or compression. (c) the bending stress at point K. State whether the normal stress at K is tension or compression. (d) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. b₁ M M₂ K x H b₂ d₂ b3 d₁

Elements Of Electromagnetics
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P8.5 A beam is subjected to equal bending moments of M₂ = 45 kip-ft, as shown in Figure P8.5a. The
cross-sectional dimensions (Figure P8.5b) are b₁ = 7.5 in., d₁ = 1.5 in., b2 = 0.75 in., d2 = 6.0 in., b3 = 3.0
in., and d3 = 2.0 in. Determine:
(a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus
about the z axis.
(b) the bending stress at point H. State whether the normal stress at H is tension or compression.
(c) the bending stress at point K. State whether the normal stress at K is tension or compression.
(d) the maximum bending stress produced in the cross section. State whether the stress is tension or
compression.
K
M₂
M₂
x
H
b₂
y
b₁
b3
d₂
d
Transcribed Image Text:P8.5 A beam is subjected to equal bending moments of M₂ = 45 kip-ft, as shown in Figure P8.5a. The cross-sectional dimensions (Figure P8.5b) are b₁ = 7.5 in., d₁ = 1.5 in., b2 = 0.75 in., d2 = 6.0 in., b3 = 3.0 in., and d3 = 2.0 in. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. State whether the normal stress at H is tension or compression. (c) the bending stress at point K. State whether the normal stress at K is tension or compression. (d) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. K M₂ M₂ x H b₂ y b₁ b3 d₂ d
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