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

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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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