blob: a493cc1eafaa985f93460b1331538d29414b3c51 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
|
// Initilization of variables
P=1000 // N // Force acting at the hinge of the 1st square
Q=1000 // N // Force acting at the hinge of the 2nd square
// Calculations
// Chosing the co-ordinate system with originat A, we can write,
theta=45 // degree
// Forces that do work are P,Q & X_B. Applying the principle of virtual work & Simplyfying and solving for X_B,
X_B=((2*P)/6)*(cosd(theta)/sind(theta)) // N
// Now give a virtual angular displacement to the whole frame about end A such that line AB turns by an angle delta_phi.
// The force doing work are P,Q&Y_B.Applying the principle of virtual work & Simplyfying this eq'n and solving for Y_B,
Y_B=((3*Q)+P)/6 // N
// Simply by removing the support at A & replacing it by the reactions X_A & Y_A we can obtain,
X_A=X_B // N
Y_A=P+Q-Y_B // N
// Results
clc
printf('The Horizontal component of reaction at A (X_A) is %f N \n',X_A)
printf('The Vertical component of reaction at A (Y_A) is %f N \n',Y_A)
printf('The Horizontal component of reaction at B (X_B) is %f N \n',X_B)
printf('The Vertical component of reaction at B (Y_B) is %f N \n',Y_B)
|
