Learning Goal: To analyze a rod assembly in three-dimensional space and determine the support reactions by using the equations of equilibrium for a rigid body. The rod assembly shown has smooth journal bearings at A, B, and C. The forces F₁ = 650 N, F₂ = 560 N, F3 = 430 N, and F₁ = 925 N are applied as shown in the figure. The geometry of the rod assembly is given as a = 0.900 m, b=0.600 m, and c = 0.650 m. Neglect the weight of the rod. Determine the 2 component of the reaction exerted on the rod at C. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) НА ? Cz = Value Units x A B FA Submit Previous Answers × Incorrect; Try Again - Part C - Finding the z component of the reaction at B Determine the component of the reaction on the rod at B. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) μA B₂ = Value Units Submit Previous Answers × Incorrect; Try Again ? Part D - Finding the x component of the reaction at B Determine the x component of the reaction on the rod at B. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) НА ? Bx = Value Units Part E - Finding the z component of the reaction at A Determine the component of the reaction on the rod at A. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) ? Az = Value Units Submit Part F - Finding the x component of the reaction at A Determine the x component of the reaction on the rod at A. Express your answer to three significant figures and include the appropriate units. ▸ View Available Hint(s) Ax = Value Α ? Units

Beam AB has a pin support at A and a roller support at B Joint B is also restrained by a linearly elastic rotational spring with stiffness kR, which provides a resisting moment MBdue to rotation at B. Member AB has flexural rigidity EI. A moment M0acts counterclockwise at B. Use the method of superposition to solve for all reactions. Find an expression for joint rotation Ain terms of spring stiffness kR. What is Awhen kR 0? What is Awhen kR— ? What is Awhen kR= 6EI/L?

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.

Solve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3, and q = 325 lb/ft.

The inclined beam represents a ladder with the Following applied loads: the weight (W) of the house painter and the distributed weight (u) of the ladder itself. Find support reactions at A and B: then plot axial force (N), shear (V), and moment (M) diagrams. Label all critical N, V, and M values and also the distance to points where any critical ordmates are zero. Plot N, V, and M diagrams normal to the inclined ladder. Repeat part (a) for the case of the ladder suspended from a pin at B and traveling on a roller support perpendicular to the floor at A.

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.

A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.

Learning Goal: To analyze a rod assembly in three-dimensional space and determine the support reactions by using the equations of equilibrium for a rigid body. The rod assembly shown has smooth journal bearings at A, B, and C. The forces F1 = 650 NN F2 = 560 N, F3= 430 NN, and F4 = 925 N are applied as shown in the figure. The geometry of the rod assembly is given as a= 0.900 mm, b = 0.600 mm, and c = 0.650 mm. Neglect the weight of the rod.

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