A beam is simply supported at two ends and under the action of two point loads,...

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A beam is simply supported at two ends and under the action of two point loads, Fs and Fc, as shown in the figure below. Weight of the beam can be neglected. Weights of the beam and ropes can be neglected. Using Table A-9 and superposition, deflection at B can be found as: RA Ya 9EI 4F 6B a) Show that the same expression can be found by using Castigliano's Method, if the effect of transverse shear is neglected. forces and b) What will be the direction of the deflection? Up or down? Explain. Use the force and moment notations and coordinate axes shown in the figures on the right. Hint: Note that support reactions are functions of external +0. Therefore, Ro must be written in terms OF of Fs and Fc, at the beginning of the method. Fc 1 a Good M₂ a M₁ a T Rp Ro Rp RD A beam is simply supported at two ends and under the action of two point loads, Fs and Fc, as shown in the figure below. Weight of the beam can be neglected. Weights of the beam and ropes can be neglected. Using Table A-9 and superposition, deflection at B can be found as: RA Ya 9EI 4F 6B a) Show that the same expression can be found by using Castigliano's Method, if the effect of transverse shear is neglected. forces and b) What will be the direction of the deflection? Up or down? Explain. Use the force and moment notations and coordinate axes shown in the figures on the right. Hint: Note that support reactions are functions of external +0. Therefore, Ro must be written in terms OF of Fs and Fc, at the beginning of the method. Fc 1 a Good M₂ a M₁ a T Rp Ro Rp RD

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To calculate yB you need to integrate the square of the bending moment equations along the length of ... View the full answer