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The 2D truss shown in the figure is assembled to build the global matrix equation. Before applying boundary conditions, the dimension of the global stiffness matrix is
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Introduction To Finite Element Analysis And Design
- 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=0arrow_forwardSuppose that the assembled stiffness matrix of question 1 (as shown below) is as follows: [K]=108×a-a0-aa+b-b0-bb where a=4.06 N/m and b=2.28 N/m. If the applied force at node 3 is P=210 KN, find the displacement of node 2 in mm?arrow_forwardThe mechanism shown in the figure controls the lifter. Calculate the reactions on CDE as the weight supported by the platform is W W(N)= 2800, L1(m)=0.6, L2(m)=0.6 , L3(m)=0.2 1) For three dimensional problems, please use vector notation.2) State what all the transactions you have done. All intermediate actions you have to doshow clearly.3) Please write the units next to the values you find.4) In the related questions, please draw the free body diagram.arrow_forward
- A planar 9-node quadrilateral element, used for the solution of an elasticity problem, has the following Degrees of Freedom per node (consider an xy-plane for the definition of the Degrees of Freedom) (select all applicable answers): Translational Degree of Freedom in the x-direction Translational Degree of Freedom in the y-direction Translational Degree of Freedom in the z-direction Rotational Degree of Freedom about the x-direction Rotational Degree of Freedom about the y-direction Rotational Degree of Freedom about the z-directionarrow_forwardIn the arrangement shown in the figure, a cable is attached to the end of a cantilever beam. We will model the cable as a rod. Denote the translational spring constant of the beam by kb and the translational spring constant of the cable by kc. The displacement x is caused by the applied force f. What is the equivalent spring constant for this arrangement?arrow_forwardFor 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.arrow_forward
- Solve the following problems completely, and make a detailed solution. Use ONLY AREAMETHOD in finding the V-M Diagram. Please do the diagram. Thankyou!arrow_forwardDefine the displacement compatibility equation, the virtual loading state and the main system of the structure.arrow_forward6. Beginning with the equations on page 3, show the detailed steps needed to obtain the equation on p. 8.arrow_forward
- An infinite length plate on points A, B, C and D respectively Parallel forces FA, FB, FC and FD (kN) It acts in the directions given in the figure.point A is blue, point B is white, point C yellow, point D is on the green area. Given in the data table Equivalent composition using values the magnitude of the force (FEŞ) and find the application the x and y (m) coordinates of the point. (FA(kN)=24,FB(kN)=46,FC(kN)=24,FD(kN)=32) x and y (m) coordinates (XA=-19,YA=-7,XB=15,YB=-9,XC=20,YC=2,XD=-13,YD=8)arrow_forwardSolve the following problems. Show your solution and create a simple illustration of the problem. 3. A dam (h= 25 m) is used as a reservoir in order for us to have a constant supply of water. Shown here is a cross section of a dam, what pressure should the bottom part of the dam resist to prevent it from overturning? The height of the water reservoir is at 14 m. Water is at standard conditions.arrow_forwardWhat is the size of the stiffness matrix of a 4-node quadrilateral element?arrow_forward
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning