For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Determine the shear force acting at each of the following locations: (a) x = 1 m (b) x = 4 m (c) x = 7.00 m

Q: Which of the following is closest to the moment of inertia (I) that would be used to calculate the…

A: Shear Stress =FAyINAbHere INA = MOI about the neutral axis.F= ForceA = area above the point Vy =…

Q: Calculate the shear forces and moments along the beam 4C as shown in Figure Q4 and hence draw the…

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Q: B -0.2L- L Input units: kNm

A: Given:f=63 KN/mL=8.9 mx=7.29 m

Q: b) A simply supported beam has a rectangular cross-section with a second moment of area (I) of 11.50…

A: Step 1: bending equation  Step 2: Step 3: Step 4:

Q: The beam is supported by a pin at B and a roller at D. The applied loads shown in the figure have…

A: Here's a solution to the problem of finding the maximum shear force and bending moment in the beam,…

Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L= 800 mm.…

A: Answer: The largest moment M that can be applied to the beam is 494.6 N•m.

Q: For the simply supported beam subjected to the loading shown, sketch the shear force diagram.…

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Q: A beam is loaded and supported as shown, with F1 = 2050 lb, F2 = 2080 lb, M = 6070 ft*lb, and w =…

A: Draw a free-body diagram of the given beam.     Apply force equilibrium in a vertical direction.…

Q: For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment…

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Q: see the image attached for the diagram thank you :) Determine the values and draw the diagram for…

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Q: 1. Determine the value of A, B and C in the bending moment diagram. [A=1148, B=1188, C=-432] V (N)…

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Q: 3) For the given plate subjected to two point forces, calculate the nodal displacements and the…

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. The component shown always breaks at point C, which is just to the right of the contact point of…

A: The component always breaks at point C, which is just right of the contact point of the roller at B.…

Q: 600 N/m A B В D |C |-1 m--1 m --1 m --- -1.5 m- →-.5 m- 900 N

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Q: Q. 3: Determine the internal normal force, shear force and bending moment at point C in the…

A: It is asked to find the shear force and bending moment in the image shown below

Q: For the above diagram, given that F1 = 450 N, θ = 30 degrees and d = 5 m, calculate the following…

A: See image below for the explanation

Q: A fixed beam of length 3 m is subjected to the distributed load shown above. (A) state the reaction…

A: The support reactions, the maximum shear force and bending moment, and draw the shear force and…

Q: Given a=2.4m, b=1.9m, c=1.5m, d=1.9m, P=14kN, Q=28kN, w=3kN/m, and Moment M=4 kN.m in the direction…

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Q: An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm.…

A: Find the largest moment that can be required.

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.