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- Solve Prob. 10.54 assuming that A and B are connected by a spring of stiffness k = 0.3 W/b and free length b.Determine the magnitude of the horizontal component of the reaction at point A if F=287N , a=0.44m, b=1.97m, r=1.71m and d=28.1degrees. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate C if force is compressive or T if tensile.The beam has a constant E1I1 and is supported by the fixed wall at B and the rod AC. If the rod has a cross-sectional area A2 and the material has a modulus of elasticity E2, determine the force in the rod.
- 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.Before the uniform distributed load is applied to the beam, there is a small gap of 0.2 mm between the beam and the post at B. Determine the support reactions at A, B, and C. The post at B has a diameter of 40 mm, and themoment of inertia of the beam is I = 875(106) mm4. The post and the beam are made of material having a modulus of elasticity of E = 200 GPa.The beam is supported by a pin at A, a roller at B, and a post having a diameter of 50 mm at C. Determine the support reactions at A, B, and C. The post and the beam are made of the same material having a modulus of elasticity E = 200 GPa, and the beam has a constant moment of inertia I = 255(106) mm4.
- 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 vertical displacement of A and B after the load is applied to the bar.Determine the vertical reaction (A y - kN) and the reactive moment (M A - kN·m) at the support at A considering thestock values: M = 10·a + 30·b + 20·c + 200 {kN·m}, q = 20·(a + b) + 10·c + 100 {kN/m} and F = 30· (a + b+ c) + 50 {kN}. The beams AB and BC of the beam are interconnected by a smooth pin at B. Assume minimum accuracyof 6 significant figures. (a = 7; b=1 ; c=1) Ay= MA=The car bumper is made of polycarbonate-polybutylene terephthalate. If E = 2.0 GPa, determine the maximum deflection and maximum stress in the bumper if it strikes the rigid post when the car is coasting at v = 0.75 m>s. The car has a mass of 1.80 Mg, and the bumper can be considered simplysupported on two spring supports connected to the rigid frame of the car. For the bumper take I = 300(106) mm4, c = 75 mm, sY = 30 MPa and k = 1.5 MN>m.
- Determine the ratio of support reaction Ra/RcThe 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/s²Determine the reaction at the roller support and the deflec-tion at point D if a is equal to L/3.