1000 lb 4 ft 4 ft B 5 ft A 3 ftr 10 ft 13 ft 600 lb -9 ft- 5 ft E Show Transcribed Text The frame is shown in Figure, (a) is supported by a pin at A and rollers at E. Draw the FBD diagram. Find the components of all forces acting on each member of the frame.
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- A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E. which runs over Frictionless pulleys al D and B (see figure). The cable force is known to be 400 N. There is a pin connection just Lo the left of joint C. (a) Find reactions at supports^, C, and E. (b) Find internal stress, resultants N, V, and M just to the right of joint C. (c) Find resultant force in the pin near C.A crane boom of mass 450 leg with its center of mass at C is stabilized by two cables AQ and BQ (Ae= 304 mm2 for each cable) as shown in the figure. A load P = 20 KN is supported at point D. The crane boom lies in the y-z plane. (a) Find the tension forces in each cable: TAQand TBQ(kN}. Neglect the mass of the cables, but include the mass of the boom in addition to load P. (b) Find the average stress (s) in each cable.A large precast concrete panel for a warehouse is raised using two sets of cables at two lift lines, as shown in the figure part a. Cable 1 has a length L1 = 22 Ft, cable 2 has a length L2= 10 ft, and the distance along the panel between lift points Band D is d = 14 ft (see figure part b). The total weight of the panel is W = 85 kips. Assuming the cable lift Forces F at each lift line are about equal, use the simplified model of one half of the panel in figure part b to perform your analysis for the lift position shown. Find the required cross-sectional area AC of the cable if its breaking stress is 91 ksi and a factor of safety of 4 with respect to failure is desired.
- A cable and pulley system in the figure part a supports a cage of a mass 300 kg at B. Assume that this includes the mass of the cables as well. The thickness or each of the three steel pulleys is t = 40 mm. The pin diameters are dPA= 25 mm, dB= 30 mm. and dc= 22 mm (see figure part a and part b). (a) Find expressions for the resultant forces acting on the pulleys at A, B. and C in terms of cubic tension T. (b) What is the maximum weight W that can be added to the cage at B based on the following allowable stresses? Shear stress in the pins is 50 MPa; bearing stress between the pin and the pulley is 110 MPa.A mountain bike is moving along a flat path at constant velocity. At some instant, the rider (weight = 670 N) applies pedal and hand forces, as shown in the figure part a. (a) Find reaction forces at the front and rear hubs. (Assume that the bike is pin supported at the rear hub and roller supported at the front hub.) (b) Find internal stress resultants N, V, and M in the inclined seat post (see figure part bA spray nozzle for a garden hose requires under a water pressure force fp= 30 lb at C (see figure a force F = 5 lb to open the spring-loaded spray part c). Use dimensions given in figure part a chamber AB. The nozzle hand grip pivots about a (a) Find the force in the pin at O due to applied force F pin through a flange at O. Each of the two flanges force F has a thickness t = 1/16 in., and the pin has a diam- (b) Find average shear stress taver and bearing stress eter dp = 1/8 in. (see figure part a). The spray nozzle is attached to the garden hose with a quick release fitting at B (see figure part b). Three brass balls Find the average shear stress Ta,„ in the brass (diameter db= 3/16 in.) hold the spray head in place retaining balls al C due to water pressure Force fP
- A plane Frame with pin supports at A and E has a cable attached at C, which runs over a friction-less pulley at F(see figure). The cable Force is known to be 500 lb. (a) Find reactions at supports A and E. (b) Find internal stress resultants N, V, and M at point H.A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b = 3 m and P = 80 kN.
- Find expressions for all support reaction Forces in the plane frame with load 3P applied at C as shown in the figure. Joints A and D are pin supported, and there is a roller support at joint F. The lengths and the properties of the members are shown in the figure. Neglect the weights of all members. Select Rfas the redundant.A soccer goal is subjected to gravity loads (in the - z direction, w = 73 N/m for DG, BG, and BC; w = 29 N/m for all other members; see figure) and a force F = 200 N applied eccentrically at the mid-height of member DG. Find reactions at sup ports C, D, and H.-19 The mechanical assembly shown in the figure consists of an aluminum tube, a rigid end plate, and two steel cables. The slack is removed from the cables by rotating the turnbuckles until the assembly is snug but with no initial stresses. Afterward, the turnbuckles are tightened by 1.5 turns. Calculate the forces in the tube and the cables and determine the shortening of the tube. As= 0.85 in2 for each cable, AA= 4.5 in2, L = 20 in., Es= 29,000 ksi, EA= 10,600 ksi, and p = 1/16 in