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QUESTION 2 (150 marks, allow 30 minutes) (a) For the three-hinged arched roof truss shown in...
QUESTION 3 The truss shown in the Figure 3 is having hinged supports at A and B, assuming that the EA is constant for all the members. Use a flexibility method to determine the forces in each member and reactions at the supports. 80 kN 5 m 5 m 5 m 5 m Figure 3 130 marks) Total Marks [100
QUESTION 3 The truss shown in the Figure 3 is having hinged supports at A and B, assuming that the...
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 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...
SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss shown in Figure 3. Material property is constant throughout the members i.e EA -50 x 10° KN. 2 8 kN 3 m 4 4 m
SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss shown in Figure 3. Material property is constant throughout the members i.e EA -50 x...
Question 15 For the truss shown in the figure below, determine the vertical reaction force at support A 5 kN 3 m 45 1 m 2 m +5 KN + 4.3 kN -3 kN -5 kN Question 16 For the truss shown in the figure below, determine the horizontal reaction force at support D: 5 kN 45° 1 m 2 m + 15 kN - 12.5 kN 0 kN +5 kN Question 17 For the truss shown in the figure...
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 2 [30 Marks) The framed structure shown in Figure 2 has simple supports (i.e. is free to rotate) at joints A and G. Members AC and GE are vertical, while CE and EH are horizontal. There is an internal moment release at joint C. A uniformly distributed load of 5 kN/m is applied between D and E, and another uniformly distributed load of 4 kN/m is applied between F and G as shown. There is also a horizontal point...
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,...
1. A simple truss structure is given in iure I below, joint A is commected to simple pin support and Joint G is resting on roller support. Knowing that external horizontal force of 100kN acts on joint B, and vertical forces of 150KN and 50kN are acting on joint D and respectively. Determine; (a) The reaction forces at supports A and B. (3 marks) (b) Forces carmed by members AB, AD, BC, BD, CD and CE, and indicate if the...
A roof truss is loaded and supported as shown in Figure 2. The joints are all pinned. (a) Determine the support reactions at A and G. (25 marks) (b)Using "Method of joints" find the forces in members AB, AF, GF, CD and DE of the truss. State whether each of these members is in tension or compression. (75 marks) (c) Determine the force in members BC, CF and EF of the truss using "Method of sections". State whether each of...