Question

Problem MEX-02 (Points: 3/10). According to the matrix structural analysis theory, the internal force vec- tor of a truss element can be computed as the product - matrix product -of the stiffness matrix [k] times the displacement vector (d) in the form -[k]"{d) where: E. EN TELE= Write a Matlab script that calculates the internal forces of a truss element when E - 29,000,000 lb/in?, A - 3.4in. L-200 in, di -0.02 in and ds 0.04 in. Hinta: assemble matrix [] and vector (d), then perform a standard matrix product to obtain vector

Answer 1

Here is the code for your problem.

% initializing given variables

E = 29000000

A = 3.4

L = 200

d = [0.02; 0.04]

% calculating temporary variable to calculate k

temp = E * A / L

% initializing k matrix

k = [temp -temp; -temp temp]

% result given y matrix product

f = k * d

Here is the screenshot of the code if the indentation is not clear.

nmin % initializing given variables E = 29000000 A = 3.4 L = 200 d = [0.02; 0.04] % calculating temporary variable to calculate k temp = E *AIL % initializing k matrix k = [temp-temp; -temp temp] % result given y matrix product f = k * d 00 10 11

Here is the output of the code.

E = A = L = d = 29000000 3.4000 200 0.020000 0.040000 temp = 493000 k = 493000 -493000 -493000 493000 f = -9860 9860

Hope this helps.

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