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- The cable of the suspension bridge spans L=140m with a sag H=20m. The cable supports a uniformly distributed load of w0 N/m along the horizontal. If the maximum allowable force in the cable is 4 MN, determine the largest permissible value of w0.One end of a post weighing 400 Nand with height h rests on a roughhorizontal surface with ms = 0.30.The upper end is held by a ropefastened to the surface and makingan angle of 36.9° with the post. A horizontal force F isexerted on the post as shown. (a) Ifthe force F S is applied at the midpointof the post, what is the largest value it can have without causing the postto slip? (b) How large can the force be without causing the post to slip ifits point of application is 6/10 of the way from the ground to the top of thepost? (c) Show that if the point of application of the force is too high,the post cannot be made to slip, no matter how great the force. Find thecritical height for the point of application.The ABD bracket is supported by a pin at A and the cable DE. Determine the internal forces immediately to the left of the load.Template: (On CD) F= 270 N; M=43.2 N.m; V = 90 N
- The beam CBA is supported by a ball and socket support at A and two cables BD,BE as shown. It is loaded by two forces F=1071 KN and P=357 KN.Determine the unknown forces by applying d’alemberts principle to a free body.Fishing line with a tensile strength of 25 lbs is used at B to fasten 2 members together as shown. Find the maximum force F that can be supported, given:L1 = 2 in, L2 = 4 in L3 = 6 in, L4 = 5 in
- A 45-lb shelf is held horizontally by a self-locking brace that consists of two parts EDC and CDB hinged at C and bearing against each other at D. Determine the force P required to release the brace.Two double-threaded square power screws have root diameters of 2 in. each and pitches of 0.5 in. each. Both are arranged in parallel and areused to convey a load of W = 502 lbs using a motor that rotates at 300 rpm. Determine the force F for each screw (in N) applied at the end of a lever 3 ft long if these power screws lift the given load.The homogeneous 240-lb bar is supported by a rough horizontal surface at A, a smooth vertical surface at B, and the cable BC. Draw the FBD of the bar and count the unknowns.
- The device shown is an overload prevention mechanism. When the force acting on the smooth peg at D reaches 1.2 kN, the peg will be sheared, allowing the jaws at C to open and thereby releasing the eye-bolt. Determine the maximum value of the tension P that can be applied without causing the eyebolt to be released. Neglect friction.The 20 mm diameter steel shaft AB is attached into the rigid wall at B and supported by a smooth bearing at A. The lever AC is welded to the end of the shaft. If the downward force P will produce a 50 mm vertical displacement at the free end of lever AC, determine the force P if G = 83 GPa.Determine the internal forces at point K when a semicircular rod is loaded.