Name 1Pag Question 1 (35 marks) Use the method of virtual work to determine the vertical displace...
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 members and the members 1, d 3 have their cross sectional areas as 4000 mm2, 4000 mm2 and 6000 mm2 The truss shown in Figure Assuming that E is constant respectively, use the matrix stiffness method to determine the following Number of degrees of freedom. a. (15) b. Structure stiffness matrıx. (10) c Member...
Please show all work 4 kN 2. Use Castigliano's theorem to find the vertical displacement of joint C on the truss. The cross- sectional area of each member is 100 mm2. Take E = 200 GPa. 1.5 m
The structure below is supported by a pin at A and a roller at E Determine the force in each member of the truss using the Method of Joints H meters 2 FE m AH m GF m HG m Joint Loadings, kN ent length, m Height, m HG GF FE 1.5 2 Draw FBD of truss system to determine reaction forces Assume all forces in members are tensile. If answer is negative, force is compressive. s in x direction...
1) (100) For the following truss Determine the horizontal and vertical components of the reaction at pin C, and the a. reaction at roller F required to support the truss. Use the method of joints to find the internal forces of each member b. Assuming the maximum allowable tensile stress is 36 ksi and the maximum allowable C. compressive stress is 30ksi what is the required cross sectional area? Assume each member has the same cross sectional area. A 20...
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 )...
Problem 2 Determine the vertical displacement of joint C. Use the method of virtual work. E A is a roller and D is a hinge support. 29,000 ksi 6 ft wall 2 in2 8 ft 2 in A 2 in 80 k
QUESTION 1 [25 marks A frame loaded with a uniformly distributed load at Member AB and point load at Member BC and joint B. It has pinned supports A and C, while joint B is fixed connected, as can be seen in Figure 1. Take E-200 GPa. a) Using the slope-deflection method, calculate the moments and illustrate the bending moment diagram. [15 marks) b) Then calculate the shear forces and sketch the shear force diagram. [10 marks) 22 KN 10...
2. Use the Method of Joint, and determine the force in each member of the roof truss. State if the members are in tension or compression. Assume A is a pin and D is a roller support. (AB:-28.9kN; AE:14.4kN; BE:5.77kN; BC:-17.3kN; CE:-5.77KN; ED:20.2kN; CD:-40.4kN) 40 KN 20 KN 4 m D
The following truss is subjected to vertical loads of 20 KN at joints E and D. In addition to the loads, support A settles by 5 mm and member AB and BC are subjected to a temperature drop of 50°C. Given Young’s modulus, E = 200 GPa, cross sectional area for each member, A = 500 mm2 and coefficient of thermal expansion of, α = 1.25 x 10-5/°C. Find the internal forces in each member using force method. 20 KN...
2. Use the virtual work method to determine the horizontal deflection at joint H of the truss shown in Figure 2 G (1500 mm2) H 4 m (1500 (1500 150 kN> 4 m (1500 mm2) (1500 2 m E-2x10S MPa Im Figure 2 2. Use the virtual work method to determine the horizontal deflection at joint H of the truss shown in Figure 2 G (1500 mm2) H 4 m (1500 (1500 150 kN> 4 m (1500 mm2) (1500 2...