The simply supported beam is reinforced by a post at C. The connection between t

Question

The simply supported beam is reinforced by a post at C. The connection between the post and the beam allows rotation of the beam. The post has a cross section area of 0.0025 m2. The post and the beam are made of the same material with Young's modulus: E = 200 GPa, and the beam has a constant moment of inertia: I = 255times106 mm4. Setup the system of equations for the beam (you will have 5 unknowns, one is trivial). Sketch the deformed shape of the beam. Write the value of the minimum and maximum displacements of the beam. Determine the maximum stress in the beam (assume the maximum distance to the neutral axis is 230 mm).

Explanation / Answer

Let Ay, By and Cy be the reaction forces. No moment reaction at C. Applying equilibrium, Ay+By+Cy = 25*10 = 250 kN Taking moment equation at A, we get 5Cy+15By = 250*10 = 2500 kN-m About C, 5Ay - 10By = -250*5 = -1250 kN-m Similarly, displacement or deflection at A and B are zero.Even at C. Apply the equations and get the solution for five equations.. (or try singularity functions) Any doubts mail me.. Il clarify through chat.. dont forget to award points..

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