P8.5 A beam is subjected to equal bending moments of M₂ = 45 kip. ft, as shown in Figure P8.54. The cross-sectional dimensions (Figure P8.5b) are b₁ = 7.5 in., d₂ = 1.5 in., b₂ = 0.75 in., d₂ = 6.0 in., b3 = 3.0 in., and d3 = 2.0 in. Determine FIGURE P8.5a b₁ b₂ by d₁ d₂ dy M. FIGURE P8.5b (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 Kis tension or compression. (d) the maximum bending stress produced in the cross section. State whether the stress is tension or compression.

Structural Analysis
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Chapter2: Loads On Structures
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P8.5 A beam is subjected to equal bending moments of M₂ = 45 kipft, 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
M.
FIGURE P8.5a
b₁
b₂
b₁
d₂
dz
M₂
FIGURE P8.5b
(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.
Transcribed Image Text:P8.5 A beam is subjected to equal bending moments of M₂ = 45 kipft, 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 M. FIGURE P8.5a b₁ b₂ b₁ d₂ dz M₂ FIGURE P8.5b (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.
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