An externally applied load P of 26 kN is applied to a steel truss as shown below. The cross-sectional area of truss member EF is 2,840 mm2. Dimension "X" is 4 m. Dimension "Y" is 8 m and dimension "Z" is 8 m. Approximate the total decrease in length, in mm, for truss member EF due to the applied loads shown and a temperature drop of 38 oC. If necessary, use Appendix G for any mechanical properties of steel that may be needed. Hint: Use Method of Sections or Method of Joints to solve this problem.
State your answer as a positive value to three decimal places. Example: 5.378
An externally applied load P of 26 kN is applied to a steel truss as shown...
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...
The truss supports a 100-kN load at J. The Horizontal members are each 1 m in length. a) Use the method of joints to determine the axial force in member DG b) Use the method of sections to determine the axial force in member DG (HINT: you can solve both a and b without solving for the reactions at A and E. PLEASE HELP!! The truss supports a 100-kN load at J. The horizontal members are each 1 m in...
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 )...
For truss shown below a vertical load of 25 KN and Horizontal Load of 30 KN applied at Node 3 ( Use FEM Nodal displacement, Direct stiffness method) 1). Calculate clearly the member length and distance between members A = 5 x 10^-4 m^2 and E = 200 GPa 2). Determine the member and global stiffness matrix and show the calculation fot Sinθ and Cosθ clearly 3). determine the displacement and member forces All Load and dimensions are in meter...
Determine the force In member AB of the truss shown by using the method of joints or sections. X2 if you know: P = 25 KN X4 = 7 m x2 = 14 m y = 12 m Find FAB?
The cross-sectional area of each member of the truss shown in the figure is 4 = 400 mm and E = 200 GPa. (a) Determine the vertical displacement of joint Cif a 4-KN force is applied to the truss at C. (b) If no loads act on the truss, what would be the vertical displacement of joint C if member AB were 5 mm too short? (c) If 4 kN force and fabrication error are both accounted, what would be...
Q1. Consider a truss shown in Fig.1. Joint A sits on a pin support and I on a roller support. () Determine the forces on members CD, FG and Hl, using two different methods (a) and (b). Identify the forces as Tension or Compression. (ii) Determine the member that carries maximum tension. (a) method of Joints, and (b) method of Sections 200 kN 200 kN 200 kN 200 kN 200 kN 4 m 3 m -5 m Fig.1 Truss
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...
A truss is subjocted to a 12 kN vertical load at G and a 20 kN vertical load at F as shown in the figure Calulate (a) Forces in members AG, GF and AB using the method of joints (b) Forces n mem s FC、BCard FE using the mothod of sections Show all your calculations. This question can be answered only with a file attachment. Use only A SINGLE PDF file for your answer. Handwritten work is not accepted Multiple...
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,...