Resolve The Member Forces Into Horizontal And Vertical Components To Obtain The System Of Equations You Will Have 6 E 1 (33.87 KiB) Viewed 26 times
Resolve The Member Forces Into Horizontal And Vertical Components To Obtain The System Of Equations You Will Have 6 E 2 (51.52 KiB) Viewed 26 times
• Resolve the member forces into horizontal and vertical components to obtain the system of equations (you will have 6 equations and 6 unknowns: F1, F2, F3, H2, V2, V3). • d = 45° • Cast the system of linear equations into a matrix equation A*x=b, such that A is the matrix of coefficients, b is the load vector (right hand side vector), and x is the vector of unknown forces • Solve for the unknowns F1, F2, F3, H2, V2 and V3.(6 unknows) using; 1) left division >> X = Alb This command carries out Gaussian elimination and back substitution. 2) matrix inversion >> x = inv (A) *b
4) Truss problem Gauss Elimination will be studied along with the forward and backward substitution algorithms, on a simple truss example. 0 Goal: According to the truss problem described below, formulate the linear system A'x=b. . Consider the following plane truss having 3 members connected by 3 joints. We would like to determine the resulting force on each member of the truss. 1000 N 1 90° F F: 60% H 2 30° 3 F.
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