17-19. The 50-mm-diameter C86100 bronze rod is fixed supported at A and has a gap of 2 mm from the wall at B. Determine the increase in temperature AT that will cause the rod to buckle. Assume that the contact at B acts as a pin. 2 mm
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- The A-36 steel pipe has an outer radius of 20 mm and an inner radius of 15 mm. If it fits snugly between the fixed walls before it is loaded, determine the reaction at the walls when it is subjected to the load shown.When the 100-lb block is at h = 3 ft above the cylindrical post and spring assembly, it has a speed of = 20 ft>s. If the post is made of 2014-T6 aluminum and the spring has the stiffness of k = 250 kip>in., determine therequired minimum diameter d of the post to the nearest 1/8 in. so that it will not yield when it is struck by the blockThe ladder has a uniform weight of 80 lb and restsagainst the wall at B. If the coefficient of staticfriction at A and B is μ = 0.4 determine the smallestangle θ at which the ladder will not slip.
- The disk B has a mass of 20 kg and is supported on the smooth cylindrical surface by a spring with stiffness k= 400 N/m and unstretched length l0= 1 m. The spring remains in the horizontal position since its end A is attached to the small roller guide which has negligible weight. Determine the equilibrium angle of the roller.The 2014-T6 aluminum rod has a diameter of 0.5 in. and is lightly attached to the rigid supports at A and B when T 1 = 70°F. Determine the force P that must be applied to the collar so that, when T = 0°F, the reaction at B is zero.The post is made of Douglas fir and has a diameter of 100 mm. If it is subjected to the load of 20 kN and the soil provides a frictional resistance that is distributed along its length and varies linearly from w = 4 kN>m at y = 0 to w = 12 kN>m at y = 2 m, determine the force F at its bottom needed for equilibrium. Also, what is the displacement of the top of the post A with respect to its bottom B? Neglect the weight of the post.
- The spring attached to the sliding collar is capable of carrying tension and compression. The spring has a stiffness k = 1.5 lb/in., and its free length is 1.5L. If the System is known to be in equilibrium in the position =30, determine the weight W of the slider.The post is made from 606l-T6 aluminum and has a diameter of 50 mm. It is fixed supported at A and B, and at its center C there is a coiled spring attached to the rigid collar. If the spring is originally uncompressed, determine the reactions at A and B when the force P = 40 kN is applied to the collar.The post is made from 606l-T6 aluminum and has a diameter of 50 mm. It is fixed supported at A and B, and at its center C there is a coiled spring attached to the rigid collar. If the spring is originally uncompressed, determine the compression in the spring when the load of P = 50 kN is applied to the collar.
- The hanger consists of three 2014-T6 aluminum alloy rods, rigid beams AC and BD, and a spring. If the hook supports a load of P = 60 kN, determine the vertical displacement of F. Rods AB and CD each have a diameter of 10 mm, and rod EF has a diameter of 15 mm. The spring has a stiffness of k = 100 MN/m and is unstretched when P = 0.If d = 0.72 ft and the spring has an unstretched length of 0.85 ft , determine the force F required for equilibriumIf 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.