Practical Test Cess13 A Massive Truss Structure With 7 Members Ab Ac Ad Bd Be Cd And De Is Roller Supported At Jo 1 (46.06 KiB) Viewed 14 times
PRACTICAL TEST CESS13 A massive truss structure with 7 members (AB, AC, AD, BD, BE, CD and DE) is roller supported at joint E and pinned at joint C (Figure Q1). The unknown vertical reaction Ey and Cy is acting at joint E and Joint C, while the unknown horizontal reaction force, Cx, is acting at joint C. The truss is subjected to a vertical force of 10 kN at joint A. The civil engineer had analyzed this truss using the joint method at all joints and had developed the matrix of the simultaneous linear equation as shown below. 10 kN A 24 m D 24 m B Figure Q1 E 9m
PRACTICAL TEST CESS13 TOTOOOOooo 0 -0.6 -0.6 -1 -0.8 0.8 0 0 0 0 0.6 0 0 0 0 0 0.8 0 1 0 0 0 0 -0.8 OOOOHOTO.. OOOOOOHOTO 0.6 0 0 0 0 0 0 0 0₁AB₁ 0 0 AC 0 0 AD -0.6 -0.6 0 0 0 CD 0 1 0 0 DE 0 0 1 0 BD 0 0 0 0 BE 000 Cx 0 -1 0 -0.8 0 0 0|| Cy 0 0.6 00 1¹ Ey 0 0 0 0 0 0 0 0 -0.8 0 0 0 1 0.8 0.6 0 0 0 0 0 10 000 a) Solve the given matrix by using the Gauss-Jordan Elimination algorithm to obtain the unknown member forces and reactions of the truss. Show this solution in your recorded video using OCTAVE software. (P1-P5) (52 marks) b) Reduce the time taken to solve the simultaneous linear equation in Q1a and show this modification in your video using a suitable approach using OCTAVE software. (P6-P7) (8 marks)
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!