Question Nr. 6: Please show python code in your answer. Thank you.

Use matrix methods to solve engineering problems using Python and Numpy

Here is the classic case truss example

You will be solving for the maximum Force on one of the members for the following case

Howe Truss

The upward forces at A can be calculated by taking a summation of the moments at E

Moment is distance * force

Moment at E = 0 = 40*4 + 20*8 + 20*12 + 30*16 FA * 16

FA = 65 kN Similarly FE = 45 kN

With this information we can do Sum of Forces in X and Y at each node to generate the matrix

Members (17): AJ, AI, AB, BI, BH, BC, CH, CD, DH, DG, DE, EG, EF, JI, IH, HG, GF

You will need 17 equations to solve for the forces in each of these members.

Your program should allow the user to input the forces at J, I, H, G, and F (or specify inputs). It should then give the response forces at A and E and output the Force on each of the truss beams.

Demonstrate the program using the inputs from the problem above.