The beam shown below is supported by a pin at A and a roller at B and is a subjected to a 40kN load at L/2. Determine the deflection at C and the slope at A using: 1. The double integration method 2. The moment-area theorem 3. The conjugate beam method 4. Virtual work 5. Castigliano's theorem A L/2 40 KN L • C B

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Q: 1. Draw the deflection diagram for the following figure 2. Use the double integration method to…

A: “Since you have asked solution with multiple method, we are solving with the double integration…

Q: 2. A simply supported beam of length L carries a point load P in the downward direction at its…

A: To find the deflection at the mid point. Using 4th order differential equation Virtual work method…

Q: simply supported beam is loaded as shown in the figure. Assume EI is constant. Using Castigliano’s…

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Q: using Double Integration Method, Determine the deflection at the free end of the beam shown

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Q: Consider the cantilever beam in the figure, subject to a concentrated force P = 20kip at B and a…

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Q: Part 2: for the frame shown below, P=20 kN and a=2 m, Assume I=20000 in and E=30,000 ksi for all…

A: Given:P = 20 kNa = 2mI = 20000 in4E = 30000 ksiRequired:Vertical deflection of E

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.