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- 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…For Probs. 1-3, (a) draw the free-body diagrams for the entire assembly (or structure) and each of its parts. Neglect friction and the weights of the members unless specified otherwise. Be sure to indicate all relevant dimensions. For each problem, (b) determine the total number of unknown forces and the total number of independent equilibrium equations. Problem 1 500 N 500 N 1 m 500 N (b) (c) Figure 1 Problem 2 -- Ift 4 ft -1.8 ft 100 lb F1.8 ft - 100 lb 100 lb (а) (b) (c)For the spring assemblages shown in Figures 2, determine the node Displacements, the forces in each element, and the reactions. Use the direct stiffness Method for all problems. Su0 KN/ m 2EN 3. 3 3 Suo KNIM Suo EN/m 3. ZEN Fig 2
- 50 KN A 250 KN 100 KN B с Reaction of AH (RAH)= Reaction of Av (RAV)= Reaction of H (RH)= Force at CE (FCE)= 200 kN E 4 panels @ 6 m each Problem 2: Each member has an area of 1150 mm2 Solve for the TRUSS REACTIONS of Problem 2 and FORCE of member CE. KN KN kN kN 100 KN F G 50 KN H 250 KN 6 m • Do not include UNITS and answer in 3 DECIMAL DIGITS (ex. 0.000, 12.000, 130.123, 4.125, 0.500 ) • Do not include nature of forces (if C or T, or +/-)है A ★F B The structure shown above is in static equilibrium. The structure is made of square segments 1.5m on each side. Support A is a pin joint and support B is on rollers. An external force F=150.0 N is applied to the structure. What is the reaction force at B?Application of Equilibrium Solve for the value of unknown variables Given : P1 = 6.85 KN P2 = 4.65 KN W1 = 6.15 KN/m Unknowns : RAy , RAx ,RBy , MA What is the value of internal shear 2.50m to the right of support A
- Problem. Consider the following problem. Find the displacement of node 4. Assume F2=200 N, F3=300 N, F4=400 N and Kı= 100, K2= 200, and K3= 300 N/mm. F. 3 2 3 4 Note: The stiffness matrix of individual springs should be first written, then the equilibrium equations at each node should be written, expanded in terms of nodal displacement, and used to perform the assembly of the global stiffness matrix of the problem. Then, the appropriate boundary conditions should be applied and the nodal displacement vector should be found. Every step should be shown; missing any step would result in point deduction even if the final answer is correct.The linkage shown is used in a vehicle suspension system. Find the forces indicated below when a static force of F = 1000 lb is applied to the tire at point C at an angle of 0 = 17° as shown. Assume the connection of the wheel to member AB is rigid. 1 h₁ K: LOFF 0 W₁ h₂ h3 h4 h5 B W₁₂ AXHIMAL W4 hs: h₂ cc i❀O BY NC SA 2013 Michael Swanbom W3 - W₁ Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value Variable Value h₁ 6.6 in W1 7.5 in 16.6 in W2 4.6 in 14.6 in W3 8.3 in 10.2 in W4 6.2 in 5.2 in W5 9.7 inItem 2 Consider the following hanging mass system for the following problems. Before answering the questions below, draw two separate free-body diagrams of ring C and then ring B. Be sure the FBDS are neat a properly labeled. You will turn them in with your written work. (Figure 1) Figure 30° E 45° F 1 of 1 Part A cb Deturmine the tension developed in cable if cylindar E weighs 40 lb and 0= 15°. FCB= Submit ▾ Part B WF = 5 ΑΣΦ 11 vec Submit Request Answer If cylinder E weighs 40 lb and 0 = 15°, determine the weight of cylinder F. Express your answer with the appropriate units. 15. ΑΣΦ ↓↑ vec ? Request Answer ? lb 2 of 5
- For the spring assemblage shown below, Determine the displacement at node 2 and the forces in each spring element. Also determine the force F3. Given: 8=2 in., kl=k2= 2000 lbf/in. riviviy k2 3 F3Based on Problem 5-40 from the textbook. Determine the stiffness k of each spring so that the applied force F cause the bar to tip = 15 degrees when the force is applied. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar. F=30N b=1.7m a=0.8 m Unique Values for Each Student: C F a www B k b www1. A safety valve spring having 9 and 2 coils has the ends squared and ground. The outside diameter of the coil is 115 mm and the wire is 13 mm. It has a free length of 203 mm. The length of which this spring must be initially compressed to hold a boiler pressure of 1.38 MPa on the seat of 32 mm diameter. Modulus of rigidity is taken as G=80GN/m?. a. Find the force acting on the valve set. b. Determine the mean diameter c. Determine the spring index d. Find the spring deflection e. Find the operating length f. Calculate the solid length g. Calculate the deflection of solid length h. Compute the solid force i. Compute the Wahl factor