Question

6. (15P) An equation set with three unknowns is given below. $(G + 3)u_x - 2(H + 2)u_y = 2Ju_z + 11$ $u_y - (H - 4)u_x = 2J(u_x + u_z)$ $Ju_x + 3u_y + (G + 8)u_z + 2 = 7$ Please perform the following without using built-in solvers of MATLAB: a. Write down the matrix form of the equation $[K] \times \{u\} = \{F\}$ where, K: stiffness matrix, u: displacement vector and F: force vector. b. Write down a script which calculates the displacement vector.

          6. (15P) An equation set with three unknowns is given below.
$(G + 3)u_x - 2(H + 2)u_y = 2Ju_z + 11$
$u_y - (H - 4)u_x = 2J(u_x + u_z)$
$Ju_x + 3u_y + (G + 8)u_z + 2 = 7$
Please perform the following without using built-in solvers of MATLAB:
a. Write down the matrix form of the equation $[K] \times \{u\} = \{F\}$ where,
K: stiffness matrix, u: displacement vector and F: force vector.
b. Write down a script which calculates the displacement vector.

6. (15P) An equation set with three unknowns is given below.
(G + 3)ux - 2(H + 2)uy = 2Juz + 11
uy - (H - 4)ux = 2J(ux + uz)
Jux + 3uy + (G + 8)uz + 2 = 7
Please perform the following without using built-in solvers of MATLAB:
a. Write down the matrix form of the equation [K] ×{u} = {F} where,
K: stiffness matrix, u: displacement vector and F: force vector.
b. Write down a script which calculates the displacement vector.

Added by Ashley V.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Sri K

09/20/2023

Step 1

The rearranged equations are: -2u - 2H + G = 8 -4u + H - y = 0 20u - x = 0 Ju + 3uy + 8u + G = 5 Now, we can write the matrix form as: [K]{u} = {F} where [K] is the stiffness matrix, {u} is the displacement vector, and {F} is the force vector. The stiffness Show more…

Show all steps

Thanks for your feedback!

For matlab pls A=0 B=1C=0D=1E= 9F=0G=1 H = 7J=8 6.15PAn eguation set with three unknowns is given below. G+3-2(H+2u=2u+11 y=H-4ux=21ux+u Ju+3uy+G+8u+2=7 Please perform the following without using built-in solvers of MATLAB a.Write down the matrix form of the equation [K]x{u}={F}where, K:stiffness matrix.u:displacement vector and F:force vector. b.Write down a script which calculates the displacement vector.