1 The gusset plate is subjected to the forces of four members. Determine the force in member B and its proper orientation O for equilibrium. The forces are concurrent at point O. Take F = 12 kN A 8 kN 450 D B T C 5 kN F10 Determine the horizontal and vertical components of reaction at the pin A and the tension developed in cable BC used to support the steel frame. 11 The jib crane is supported by a pin at C and rod AB. The rod can withstand a maximum tension of 40 kN. If the load has a mass of 2 Mg, with its center of mass located at 6, determine its maximum allowable distance X and the corresponding horizontal and vertical components of reaction at C. 12 The wooden plank resting between the buildings deflects slightly when it supports the 50-kg boy. This deflection causes a triangular distribution of load at its ends, having maximum intensities of WA and WB. Determine WA and WB, each measured in N/m, when the boy is standing 3 m from one end as shown. Neglect the mass of the plank. A B WB WA 3 m 6 m 0.45 m 0.3 m13 Determine the largest load P2 that can be applied to the truss so that the force in any member does not exceed 500 lb [1'] or 350 lb [C]. Take P1 = 0. 14 Determine the largest mass m of the suspended block so that the force in any member does not exceed 30 kN [T] or 25 kN [C]. 15 The Howe bridge truss is subjected to the loading shown. Determine the force in members HI, HB, and BC, and state if the members are in tension or compression. 40 kN 30 kN 20 kN 20 kN H G T To 4 m Ao O B C D 16 m, 4@4m16 Determine the force in members 36, BC, and HG of the truss and state if the members are in tension or compression. 2 If cable C B is subjected to a tension that is twice that of cable C A, determine the angle 6 for equilibrium of the ill-kg cylinder. Also, what are the tensions in wires C A and C B? 3 If the man at B exerts a force of P = 30 lb on his rope, determine the magnitude of the force F the man at C must exert to prevent the pole from rotating, i.e., so the resultant moment aboutA of both forces is zero. 4 The foot segment is subjected to the pull of the two plantarexor muscles. Determine the moment of each force about the point of contact A on the ground. 5 Determine the required magnitude of force F, if the resultant couple moment on the beam is to be zero. 6 Replace the force system acting on the beam by an equivalent force and couple moment at 12-0 int A. 7 The building slab is subjected to four parallel column loadings. Determine the equivalent resultant force and specify its location (x, y) on the slab. Take F; = 20 kN, F2 = 50 kW. Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. 9 Determine the intensities w, and w2 of the distributed loading acting on the bottom of the slab so that this loading has an equivalent resultant force that is equal but opposite to the resultant of the distributed loading acting on the top of the plate. 1.5 ft -3 ft 6 ft 300 1b /ft A B W1 W 2