SAN4701 OCT/NOV 2013 QUESTION 3 (30 marks) Determine the member forces and vertical deflection at node C in the truss s...
SAN4701 OCT/NOV 2014 QUESTION 1 Determine the member forces in the symmetrical truss shown in Figure 1 The panels are assumed to be square with all the members having a constant EA of 35 x 103 kN [30 MARKS] 4M 10 KN SAN4701 OCT/NOV 2014 QUESTION 1 Determine the member forces in the symmetrical truss shown in Figure 1 The panels are assumed to be square with all the members having a constant EA of 35 x 103 kN [30...
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 2016 QUESTION 3 The frame shown in the Figure 3 is having a fixed support at A and a hinged at support D Determine the reactions at the supports and moments at the joints using flexıbility method El is constant 20 kN/m 3 m 40 kN 3 m Figure 3 [30 marks] TOTAL MARKS [100] UNISA 2016 SAN4701 OCT/NOV 2016 QUESTION 3 The frame shown in the Figure 3 is having a fixed support at A and a...
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...
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...
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 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...
Determine the horizontal displacement at the node where 20 kN is applied. Also compute the reaction forces at the supports. The stiffness method (see Week 9) can be used. Note that the degrees of freedom (DOFs) of the truss are indicated in the figure. Take EA as constant. 12. Determine the horizontal displacement at the node where 20 kN is applied. Also compute the reaction forces at the supports. The stiffness method (see Week 9) can be used. Note that...
Figure Q5(a) shows a plane truss supported by a horizontal spring at the top node. The truss members are of a solid circular cross section having a diameter of 20 mm and an elastic modulus (E) of 80 GPa (10° N/m2). The spring has a stiffness constant of k-2000 kN/m. A point load of 15 kN is applied at the top node. The direction of the load is indicated in the figure. The code numbers for elements, nodes, DOFS, and...
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...