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SAN4701 JAN/FE8 2017 QUESTION 1 1 is having a hinge support at 1 and a roller support at 2. (E - 200 GPa) for all the m...
The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss b) Determine the horizontal and vertical displacements at node 4 c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 60° 4 1.5m 2 2 20m...
Question 4 The plane truss is subjected to a load as shown in Figure 4. Take E = 200 GPa and cross sectional areas of members 1, 2 and 3 as 150, 250 and 200 mm2 respectively a) Assemble the upper triangular part of the global stiffness matrix for the truss. b) Determine the horizontal and vertical displacements at node 4. c) Calculate the forces in each member of the truss. (25 marks) 20 kN 3 600 4 3 1.5m...
SAN4701 OCT/NOV 2017 QUESTION 1 The beam shown in Figure 1 is fixed at support A and support C, support B is a roller support. Use the stiffness matrix method to determine the. Member stiffness matrix 11 1.2 Structure and load matrix (10) 13 Displacement matrix Reactions at the support 14 15. Moments at the fixed supports El is constant along the length of the beam 18 kN 10 kN 20 m 10 m 1 15 m15 m Figure 1...
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,...
structure design Name 1Pag Question 1 (35 marks) Use the method of virtual work to determine the vertical displacement of joint C of the truss below The cross-sectional area of each member is A 300 mm2 and E- 200 GPa Note 1 GPa -1.0 x 10 kN/m 1 mm2-10 x 10-*m2 3 kN 2 m 2 m 1.5 m EA Set out wour computations as follows (a) Find the reactions at hinge support E and at roller support A b)...
Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below. Form member and structure stiffness matrices and compute displacements, reactions and internal forces developed in the beam Note that there is a hinge at B. Take E = 250 GPa, 1-2000 cm 10 kN 2 kN/m 5 kN-m 10 m Using the Stiffness Method procedure identify nodes, elements and degrees of freedom (neglect axial stiffness) for the beam shown below....
SAN4701 JAN/FEB 2015 QUESTION 1 The truss shown in Figure 1 is hinged at C, B and D It is acted upon at node A by a vertically downward force of 3 kN and a honzontal force of 5 kN as shown in Figure 1 Use the method of strffness matrix and analyse for the following (a) Displacement at node A (16) (b) Reaction at the supports (c) Member forces (15) EA 300 x 103 kN and is constant for...
A tie rod (1) and a pipe strut (2) are used to support a 50-kN load, as shown. The cross-sectional areas are A1 =650 mm2 for tie rod (1) and A2 = 925 mm2 for pipe strut (2). Both members are made of structural steel that has an elastic modulus of E=200 GPa. a) Determine the axial normal stresses in tie rod (1) and pipe strut (2). b) Determine the elongation or contraction of each member. c) Sketch a deformation...
16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300 105) mm,A 10(10) mm2 for each member. 16-6. Determine the support reactions at the fixed supports D and . Take E-200 GPa,1 300 (10) mm, A 10(10) mm2 for each member. 12 kN/m 2 m 4 m 12 2 m Probs. 16-5/6 16-5. Determine the structure stiffness matrix K for the 200 GPa, are fixed. Take E and frame. Assume 1-300...
15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa ) and has a cross-sectional area of A If you know that the joint E subjected to horizontal load 16-kN Determine: .The horizontal displacement of point E . The vertical displacement of point C. 400 mm2 0.8m 16 KN 15 m B- Question 3: Each member of the truss shown is made of steel (E- 2 1 0 GPa )...