// 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)