The 380-kg uniform I-beam supports the load shown. Determine the reactions at the supports.
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- If the gap between C and the rigid wall at D is initially 0.15 mm, determine the support reactions at A and D when the force P = 200 kN is applied. The assembly is made of solid A-36 steel cylinders.The compound beam segments meet in the center using a smooth contact (roller). Determine the reactions at the fixed supports A and B when the load P is applied. EI is constant.The ideal column is subjected to the force F at its midpoint and the axial load P. Determine the maximum moment in the column at midspan. EI is constant.Hint: Establish the differential equation for deflection, EQ. The general solution is v = C1 sin kx + C2 cos kx - c2x/k2, where c2 = F/2EI, k2 = P/EI
- Determine the normal reaction, NA and NB, at the smooth supports and the required distance a for the placement of the roller. The weight of the uniform bar is W. Given: θ = 30. Note: give answers in terms of P, W and d.A spring with a torsional stiffness k is attached to the hinge at B. It is unstretched when the rod assembly is in the vertical position. Determine the weight W of the block that results in neutral equilibrium. Hint: Establish thepotential energy function for a small angle θ, i.e., approximate sin θ ≈ 0, and cos θ ≈ 1 - θ2/2.If P=9.8kN Determine the reaction forces at Supports A and D
- Determine the reactions at the supports of the truss structure. Set P1 = 6 kN andP2 = 9 kN.The rigid bar is supported by the two short white spruce wooden posts and a spring. If each of the posts has an unloaded length of 1 m and a cross-sectional area of 600 mm2, and the spring has a stiffness of k = 2 MN >m and an unstretched length of 1.02 m, determine the force in each post after the load is applied to the bar.Determine the reaction at the roller support B if it settles 5 mm. E = 200 GPa and I = 65.0(10-6) m4.
- The sign has a mass of 150kg with center of mass in G. Draw the free body diagram and determine the components along x,y,z of the reaction in ball joint A as well as the tensile strength in wires BC and BD(Caution : they are two different wires). g=9.81m/s²The fixed supported beam AB is strengthened using the simply supported beam CD and the roller at F which is set in place just before application of the load P. Determine the reactions at the supports if EI is constant.Determine the reaction at the roller support and the deflec-tion at point D if a is equal to L/3.