PART 2: Determine whether the given mechanisms are Grashofs Chain, Non- Grashof's Chain or Transition chain using Grashof's criterion. Show your solution. C A D 1. If: АВ 3 25 сm BC = 43 cm CD = 45 cm AD = 50 cm
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- Consider the following spring system. m, C2 C3 with spring constants c = |2 m2 Assume down is the positive direction. Write the stiffness matrix K = %3D 23 • Compute the displacements caused by the external forces f = -21 Displacement =2) Block 4 slides in a slot in the fixed piece 1. Axis Q₂ of crank 2 is fixed on 1. Q₂₂A = 1 1/2 in., and AB = 4/1/2 Draw the mechanism, assuming limen- sions for 1, if desired, or use center lines only. Draw the four-bar linkage for this mechanism, properly rotate the linkage Q₂ ABQ400; Name each link, and show the finite and infinite cranks. Frind graphically the two extreme positions of 13, The axis of the pin by which link 3 is attached to the block 4.. Dimension the length of the stroke of B. Ans. 3& in. for scale 1:1B- For the spring system given in Fig. B, Model the problem using Combine 14 element in ANSYS Mechanical APDL software, (With Screen Capture Step by Step) then, answer these questions: (Ki=1000 N/mm, K2= K4 = 500 N/mm, K=400 N/mm) (Fi=100 N, Fz=120 N). 1- Describe the element type that you used in the model. 2- Solve for the nodal displacements. 3- Solve for the reaction forces. ki 2 k2 F2 k3 www-wwwm 3 3 5 Fig. B
- igure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y 0, and the springs are in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. DE only 225 Your tasks: X k 0 3k a F a M y A Derive an equation of motion for the system in terms of the angular displacement 0, and its derivatives (you should not have y or its derivatives in this equation.) B Derive an equation of motion for the system in terms of the displacement y, and its derivatives (you should not have or its derivatives in this equation. C Assuming there is no external actuator force F acting on the system, write down the total energy H of the system in terms of 0,0 and element constants. Derive an expression for the time derivative H of the total energy. D Transform the equation from part B, which is in y, to another…I Blackboard @ Texas Tech Univers X Bb MasteringEngineering - Spring 2 × E MasteringEngineering Mastering x Answered: Find the magnitude of X (195) Bryson Tiller - Right My A session.masteringengineering.com/myct/itemView?assignmentProblemlD=12360389&offset=next ABP G KAssignment #3 Problem 2.97 2 of 6 > I Review Suppose that h = 4 m. (Figure 1) Determine the magnitude of the resultant force of the two forces acting on the sign at point A. Express your answer to three significant figures and include the appropriate units. HÀ ? FR = Value Units Submit Request Answer Part B Figure 1 of 1 Determine the coordinate direction angle a of the resultant force of the two forces acting on the sign at point A. Express your answer using three significant figures. 2 m ΑΣφ ? E 2 m vec B F = 350 N Fc= 400 NA F = 400 N Submit Request Answer 2 m 3 m Part C Determine the coordinate direction angle B of the resultant force of the two forces acting on the sign at point A. Express your answer using three…A spring system is shown here: k₁ 3 Ę k3 2 K₂ www ma 4 Ę₂ Part 1: For this specific system, develop the: a. Global stiffness matrix . b. Boundary condition vector • c. Load vector • d. Reduced system of equations • e. Reaction force equations (i.e., the equations eliminated by the boundary conditions) Part 2: Given: k1 = 70 N/mm, k2 = 110 N/mm, k3 = 165 N/mm, F1 = 150 N, F2 = 100 N, and nodes 1 and 3 are fixed; calculate the: a. Global stiffness matrix b. Displacements of nodes 2 and 4 c. Reaction forces at nodes 1 and 3 d. Spring force in each of the springs
- ii, If the length of each element is 5m and the k-EA/L is given as shown, analyze the following system by Direct Method of Finite Element. ki - 200 kN/m * - 1000 kN/m ky : 300 kN/m 400 kN 2 Develop the displacement vector b. Develop the force vectors | c. Develop the stifness matrix for each element d. Develop the global matrix for the sytem e. Find the displacement at node 2 £ Find the forces at node 1 and 3.Please show the step-by-step solution. Please use pen and paper to solve. Thank you. Direction: Determine the degree of indeterminacy and stability of the following structures. Classify each as stable or unstable.2. Below is a picture of a car suspension system with additional springs (in red) added in series. Assume the car remains "level" (i.e. no rotational motion of the car body, only vertical motion). The original springs are ks modeling tire/road interaction). The car mass is m = 2,000 kg. 20, 000 N/m (the suspension spring), and kt 100, 000 N/m (the spring %3D The springs are all in equilibrium when d = 0.4 m. Ignore gravity in this problem. The point of the additional spring k is to make the ride more "bouncy" (some people like it that way). However, you need to make sure the car does not "bottom out" (i.e. hit the bump). It is known that when the springs are unstretched/uncompressed, the marimum vertical velocity can be is 1 m/s. What is the minimum value of the spring constant k (of the additional red spring) so that the car does not hit the bump during its vertical oscillations. Hint: Use energy balance. kis k's kt Figure 4: Simplified car model with upper springs representing…
- Find the global stiffness matrix, displacement at node 1&2, reaction forces at 1&4, and force in spring for the following figure shown below. k1=90 N/mm, k2=1800 N/mm, k3=80 N/mm, P=600 N and u1=u4=0For the spring system shown in the above figure, determine the displacement of each node. In the figure, the unit for the stiffness k is pound (lb) per inch. The left side of the system is fixed to a rigid wall, while the right side is displaced 0.5 inch to the right. Put a node between the rigid wall on the left and spring 1. Use the element method to establish the element stiffness matrix and then the global stiffness matrix. Apply the boundary conditions and theloads (by modifying the appropriate rows of the matrix and load vector). Solve the set of linear equations either by hand or using Matlab, Mathcad or Maple.PART 2: Determine whether the given mechanisms are Grashofs Chain, Non- Grashof's Chain or Transition chain using Grashof's criterion. Show your solution. В A D 3. If: AB = 6 in BC = 13.2 in CD = 21.1 in AD = 25.7 in