Figure Q2(b) shows the cross-section of a cantilever beam ABC. The beam is subjected to uniformly distributed loading and a concentrated force as shown in Figure Q2(c). Determine: (i) the second moment of area or moment of inertia for the cross-section about its neutral axis (NA) (ii) the internal bending moment and bending stress at section x-x as shown in Figure Q2(c) and at points P and Q of the cross section as shown in Figure Q2(b) of the beam and state whether the bending stress is in tension or compression.

Q: The figure below shows the cross-section of an axisymmetric composite beam that comprises steel…

A: C=Couple Moment=1200 N-mdh=Hole diameter=5 mmtS=wall thickness of steel=15 mmtA=wall thickness of…

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Q: ections are b = 40 mm, b2 = 70 mm, d = 90 mm, and t = 10 mm. Determine (a) the moment of inertia I,…

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Q: Determine the maximum bending moment acting on the beam  (ii) Develop for the beam, the expressions…

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Q: dimensions in two different orientations as follows: Beam Section Orientation A (t mm x 2t mm); and…

A: Given data is

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Q: A beam subjected to a bending test has internal vertical shear force V=2000N. The cross-sectional…

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Q: For the simply supported beam subjected to the loading shown, derive equations for the shear force…

A: To Find :  The reaction force at A and D Free body diagram :  The F.B.D is,

Q: 2. For the 20 meter beam shown, there is a roller at "A" (Ay = 52 kN; it is acting upward), and a…

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Q: For the simply supported beam subjected to the loads shown. Let a=3.00 m, b=4.00 m, PB = 30kN, and…

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Q: For the overhang beam shown below, (a) draw the free body diagram of the beam, (b) draw the shear…

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Q: Q2: A simply supported beam shown in Figure (1-A) below, has the cross section shown in Figure (1-B)…

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A: The distributed load is .The point load is

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Q: Calculate the reaction forces Ay and Dy acting on the beam. Positive values for the reactions are…

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Q: (40 Points) Q1: For the beam Shown in Figure 1 8kN/m 3kN/m 8kN/m 1. Find the reaction at support B…

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A: Free Body diagram of the beam Angle for inclined force F=18 kN sinθ=45θ=sin-1(45)θ=53.13o

Q: 40 mm 15 mm d-30 mm 20 m

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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.