The support at A is a smooth pin and the support at B is a roller. Find all o support reactions at A and B. Include the directions of the supports as we 400 N
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- 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 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.Repeat 1.3-9 but use the method of sections go find member forces in AC and BD.
- Given the Horizontal wood member shown that weights 38 lbs/ft and supports three vertical loads F1 - 200 Lbs, F2= 100 Lbs, F3 = -400 Lbs, and is supported by a Pin at A and a Roller at B, calculate Reaction Ay. A origin k 4' 200# f 4' 100# + 400# 4' t 4' B Xperpendicular to the page through the point o. (Let counterclockwise torque be positive and let forces to the right and up be positive. Use the following as necessary: the forces R, Write the necessary equations of equilibrium of the object shown in the figure below. Take the origin of the torque equation about an axis RFF, and F the length l of the object; and the angle e that the object makes with the horizontal.) EF, = = 0 Fy =0 Στ. =0 Need Help? Read It4-33. A 1200 Ib load is supported by a cable that runs over a small pulley at E and is anchored to a bar DA, as shown. Sketch free-body diagrams of bars EB and DA and of the pulley. The bars are pin connected at cach end. Neglect the welights of the mem- bers and the pulley. Cable 12 1200 lb 12 Problem 4-33
- The figure below depicts the tire, axle, and gear of a large tractor. The entire structure is in mechanical equilibrium. Bearings support the rotating axle at points A and C attached to the tractor's frame. A force FD = 5000 lb is applied in the -z direction at point G of a gear with a 3-in radius. The force W = 1000 lb in the +z direction represents a normal force resulting from the weight of the tractor. The force Q acting in the +x direction, represents the traction force between the tire and the ground. The wheel, axle, and gear assembly weigh 150 lb with center of gravity at point D, which lies on the y axis with coordinate yp = -18 in. Points A, C, D (not seen in the figure), and E lie in the yz plane. Point G lies in the xy plane. Questions & Analysis: (a) Draw the FBD for the wheel, axle, and gear assembly if the bearings at A and B resist moments and the bearing at A is a thrust bearing. Label all unknowns. (b) Is the assembly statically determinate or statically…The linkage shown is used in a vehicle suspension system. Find the forces indicated below when a static force of F = 820 lb is applied to the tire at point C at an angle of 0 = 22° as shown. Assume the connection of the wheel to member AB is rigid. hs hy hi F BY NC SA W4. W, Ws 2013 Michael Swanbom Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value Variable Value hi 10 in Wi 8.8 in h2 15.6 in W2 5.6 in h3 18.1 in W3 10.8 in h4 10.9 in WĄ 7.4 in h5 4.9 in W5 9.3 in For all answers, take x as positive to the right and y as positive upward. At point B, member AB exerts a force of B = j lbs on member BHE. At point A, member AD exerts a force of A + j lbs on member AB. At point H, shock GH exerts a force of H = i + i lbs on member ВНЕ. At point E, the magnitude of the force exerted on the car body by member BHE is lbs. At point D, the magnitude of the force exerted on the car body by member AD is lbs. At point G, the…4-44. Blocks A and B each require 30-N cable tension to start them sliding (Figure P4-44). Deter- mine force P and angle to cause them to start sliding simultaneously. FIGURE P4-44 2m PF 20⁰ 80° 4 m B
- Obtain the stiffness matrix of the two degree of freedom system shown below.5 - note: ignore weight of the bar.A) ( - 6/7)T(CB) + A(y)=0 (A=reaction force at A, A(x), A(y), A(z) are components of force A)B) (2/7)T(CB)+A(x)=392 (A=reaction force at A, A(x), A(y), A(z) are components of force A)C) A(x)=2A(y) (A=reaction force at A, A(x), A(y), A(z) are components of force A)D) A(x)=5A(z) (A=reaction force at A,A(x), A(y), A(z) are components of force A)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.