Label the nodes and the elements in the figure with appropriate node and element numbers. Compute the local stiffness matrix and load vector for each element Assemble the global stiffness matrix and load vector. State the boundary conditions, apply them, and solve the reduced system to obtain the DOF solution Compute reactions at the supports Evaluate the deflection occurring at the midpoint of the 2nd portion of the beam (point C).

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A: Here the step-by-step procedure is given to solve this kind of problem(a) Label the nodes and…

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A: GivenThe length of the beam =2L

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A: Here the step-by-step procedure is given to solve this kind of problem(a) Label the nodes and…

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Q: El

A: To given thatw=7.5kN/m   =7.5N/mmL=12×103mmE=10GPa =10×103MPaI=4×10-5m4 =4×10-5×1012mm4K=800KN/m…

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.