Using Castigliano’s Theorem. For the beam loaded as shown, determine the slope and deflection of the beam at two-third of span AC from A.

Q: The beam with, cross-section shown, is subjected to the load shown. Using E=200 GPa, determine a.…

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Q: If x is measured from the left end of the beam, compute for the deflection at x = 7m. Also,…

A: Force in the vertical direction - RA + RB = 2×2 + 5RA + RB = 9               ....1Sum of the moment…

Q: For the simply supported beam loaded as shown, determine the deflection at the midspan of the beam.…

A: Given:- E=200 GPaI=15×106 mm4 To find:- Deflection at mid span of the beam

Q: 9 kN 4.5 kN/m E= 120 GPa 90 mm 20 mm A В 40 mm 30 mm 1m 1m-

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Q: . Given the 300mm x 400mm steel (E = 200GPA) beam with the loading shown, determine the slope and…

A: It is required to find the slope and deflection at midspan of beam i.e x= 6 m

Q: Beam is loaded as shown in figure. Find the deflection at midspan and Point A using a) Castiglioni’s…

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Q: Using the virtual work method, find the deflection of point C for the beam shown below. Assume EI is…

A: Given: The value of EI is constant. Consider the figure.

Q: Using Double Interation Method, determine the deflection at the free-end of the loaded cantilever…

A: first draw the diagram then take moment about a point at distance x from free end

Q: 10 Kips/ft A B 6' 6' 6' –

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Q: Determine the equation of the deflection of the elastic curve for the beam shown and the value of…

A: Given: Use the double-integration method. To find: Equation of the deflection of the elastic curve…

Q: Determine the slope at A and B and the deflection at C for

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Q: Q.3 Determine the slope and deflection at D for the beam shown below by the conjugate beam method.…

A: Calculating the reactions: ∑MA=0RB(6)-4(9)-8(3)=0RB=10 KN∑Fy=0RB+RA=6-4=0RA=2 KN

Q: 15kN A 2m 3m 25kN/m 5m 14m 4m QUE

A: Given data:

Q: Solve for deflection and slope at the free end of the beam below is EI is constant. Using Double…

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Q: Determine the deflection at B of the beams shown below. EI is constant. Assume rocker at support D…

A: Given Simply supported beam with couple acting on it. It is asked to find the deflection at B. EI=…

Q: Compute the midspan deflection of the beam shown below using the Castigliano’s Theorem. EI is…

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Q: 70kN 60KN 12KN/m 25KN.m. B C E A 6m 2m 2m 2m 21

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Q: 30 kN 2.00 6.00

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Q: Specify the maximum deflection of the beam shown. EI is constant. E = 200 GPa, I = 15(106)mm4 1.…

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Q: 5280 N/m 2760 N/m A В IC 4.5 m 3.5 m

A: In the conjugate beam method, bending moment, curvature, slope, and deflection are all related in a…

Q: 1. Determine the value of the force P that will prevent the midspan of the beam f deflecting. El is…

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Q: Solve for the deflection & Slope at the free - end of the beam below if EI is constant.  Using…

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