Show that, when a frame supports a pulley at A, an equivalent loading of the frame and of each of its component parts can be obtained by removing the pulley and applying at A two forces equal and parallel to the forces that the cable exerted on the pulley. (b) Show that, if one end of the cable is attached to the frame at a point B, a force of magnitude equal to the tension in the cable should be applied at B.

Determine the Reactions of the beam. Show the Distributed Load Resultant magnitude and location on the loading diagram.

Using the method of joints only, determine the force in each member of the truss shown, and state whether the members are in tension or compression. Note: cable tension at D applies a load on the joint D, and support at E is a pin. You need to find support reactions first by drawing the FBD of the entire truss, and then finding support reactions at the pin at E, and cable tension along the cable at D, using equations of rigid body equilibrium. 20 kN 5 m D B 5 m 5 m 5 m 5 m А 5 m C 5 m E 20 kN 20 kN

4.95 A 250 x 400-mm plate of mass 12 kg and a 300-mm-diameter pulley are welded to axle AC that is supported by bearings at A and B. For B = 30°, determine (a) the tension in the cable, (b) the reactions at A and B. Assume that the bearing at B does not exert any axial thrust.

For the given girders of the frame shown which carries a uniform load of 14.6 kN/m along span GH and HI and a unifoem load of 33.8 kN/m along soan DE and EF Dimensions are given as follows: A=3.7m B=5.9m C=7.5m Using the approximation frames under vertical loads. Compute the value of the absolute moment at reaction B. (kN-m) Answer: 46.7 Need solution

A horizontal rigid bar ABC is pinned at end A and supported by two cables at points B and C. A vertical load P = 10 kN acts at the end of the bar. The two cables are made of steel with a modulus elasticity E = 200 GPa and have the same cross-sectional area. Calculate the minimum cross­ sectional area of each cable if the yield stress of the cable is 400 MPa and the factor of safety is 2.0. Consider load P only; ignore the weight of bar ABC and the cables.

If the tension in the gantry-crane hoisting cable is T= 24 kN, determine the unit vector n in the direction of T and use n to determine the scalar components of T. Point B is located at the center of the container top. Assume a = 18 m, b = 9 m, c = 4 m, d = 10 m, e = 12 m, f = 7 m, and h = 25 m. B d Answers: The unit vector n: n = i+ i j+ i k

Find the internal forces in all the cables. The applied loads are P1 = 6 kN and P2= 7 kN. E A 2 m D 3 m В 8 kN P1 4 m 5 m 4 m 1.5 m

The cargo box as shown weighs W = 1200 lb. The force P = 800 lb is just sufficient to lift the box off the floor. The 2-D concurrent force system of the joint O is shown as well. Using the equilibrium equations: ∑ ???= 0 ; ∑ ???= 0, 1) Determine the tension force in the cable T;2) Determine the corresponding value of β

2/93 SS If the tension in the gantry-crane hoisting cable is T = 14 kN, determine the unit vector n in the direction of T and use n to determine the scalar components of T. Point B is located at the center of the container top. z A 3 m 0 20 m 5m T B 16 m PROBLEM 2/93 12 m m 13 m