The members of the truss shown below have a cross sectional area of 0.0002m^2 and Young's modulus of E=69GPa. Determine the deflection at each joint using Finite Element Method.
The members of the truss shown below have a cross sectional area of 0.0002m^2 and Young's modulus of E=69GPa. De...
2. For the pin-jointed truss shown in Figure Q2.1 applied at node 4. The Young's modulus E(GPa) is the same for the three truss vertical downward force P(kN) is a members. The cross sectional area of each of the truss members is indicated below and expressed in terms of a constant A. By using the stiffness method: (a) Compute the reduced stiffness matrix Kg [5 marks [10 marks (b) Calculate the global displacements of node 4 in terms of P,...
Question 5 The members of the truss shown are made of steel and have the cross-sectional areas shown. Use the work energy method to determine the vertical deflection of joint C caused by the application of the 210 kN load. E = 200 GPa 15 m 1200 L5 m 210 kN 1800 Question 5 The members of the truss shown are made of steel and have the cross-sectional areas shown. Use the work energy method to determine the vertical deflection...
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in the Global Coordinate system using the finite element direct method Global y Node 2 Node 1 Global x Element 1Element 2 2m Assume all the truss members are of the same Young's modulus E-65x 109 Nm. Element 1 and element 2 have the same cross-sectional area of 0.01 m and the cross-sectional area of element 3 is 0.02 m2. Do not rename the...
please answer #1 answers are in photo below questions. please solve 1. (20 pts.) The truss structure shown has 3 members: BD, CD and BC. The value of EA (where E-Young's modulus and A-cross-sectional area) for each of the members is 200 x 103 [kN]. (1) Determine the support reactions at B andCt (2) Determine the vertical displacement of the joint D, "D, (3) Determine the horizontal displacement of the joint D, uph. 0 30° 10 kN 2.13mm 2. (20...
3) Statically Indeterminate Truss (15 pts). For the truss shown below all the members have elastic modulus E, normal failure stress σ, shear failure stress τ, and cross-sectional area A. All answers should be given in terms of P, W, A, E, σ, and/orT5 (a - 10 pts) Solve for the reaction forces at points B and D and the magnitude of the deflection of point C (b - 5 pts) Given a safety factor of 1.5, write an expression...
5) Consider a bar shown below. Cross-sectional area Ae = 1.2 in., and Young's modulus E = 35 x 106 psi. If ui = 0.02 in, and u2 = 0.025 in., considering linear interpolation, determine the following: (a) the displacement at point P; (b) the strain & and stress o; and (c) the element stiffness matrix. u2 2 x = 20 in. x = 15 in. X = 23 in.
Determine the smallest cross-sectional area A required for the members of the truss shown, so that the horizontal deflection at joint D does not exceed 10 mm. Use the virtual work method.
A plane truss element is shown in Figure 4, All elements have cross-sectional area of A = 8 in, and elastic modulus of E-2 x 10° psi. Use long-hand solution 6. 6.(a). Solve for the unknown displacements. 6.(b). Solve for strains and stresses in al 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures. 4 5 kip 10 240 ft 30 ft30 ft Figure 4. A plane truss element is shown...
A plane truss element is shown in Figure 4. All elements have cross-sectional area of A = 8 in, and elastic modulus of E 2 x 10 psi. Use long-hand solution. 6. 6.(a). Solve for the unknown displacements 6.(b). Solve for strains and stresses in all 3 elements. Show your work and follow the finite element method matrix formulation we have covered in lectures 4 3 20 ft 5 kip 10 kip 240 ft ft 30 ft- Figure 4 A...
Finite element method Question 1 (40 marks) Calculate the displacements,U, and V, of the truss structure shown below. Both truss members are of the same material (E-68 GPa) and with the same cross-sectional area of 0.001 m 500 N 300 N cl 1 m Question 1 (40 marks) Calculate the displacements,U, and V, of the truss structure shown below. Both truss members are of the same material (E-68 GPa) and with the same cross-sectional area of 0.001 m 500 N...