The lamp shown in the figure is supported by a pole AO and cables AC and AB. Each cable can sustain a 1.5 m B maximum tension of 500 N, and pole can withstand a maximum compression of 300 N. Note that the force in pole AO acts along its axis. 4 m The coordinates of the points are: O (0, 0, 0); A (2, -1.5, 6); B (-4, 1.5, 0); C (0, 1.5, 0) Determine the maximum weight of the lamp that can be supported. 2 m 6 m / /1.5 m Draw all necessary FBD's to solve this problem. Put 1.5 m units on your answers.

Space Frame ABC is clamped at A, except it is free to rotate at A about the x and y axes. Cables DC and EC support the frame at C. Force Py= - 50 lb is applied at the mid-span of AS, and a concentrated moment Mx= -20 in-lb acts at joint B. (a) Find reactions at support A. (b) Find cable tension Forces.

A cargo ship is tied down to marine boll arts at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-: plane). Assume each bolt cart ics an equal share of the total force.

The structure is supported by a pin at C and a cable attached to A. The cable runs over the small pulley D. Find the internal force systems acting on sections 1 and 2.