clear //given //its a statistally indeterminant //we will take of one of the support //Given T_ab = 0 //N.m - torsion in AB T_bc = 150 //N.m - torsion in BC T_cd = 150 //N.m - torsion in CD T_de = 1150 //N.m - torsion in DE l_ab = 250 //mm - length of AB l_bc = 200 //mm - length of BC l_cd = 300 //mm - length of cd l_de = 500.0//mm - length of de d_1 = 25 //mm - outer diameter d_2 = 50 //mm - inner diameter //Caliculations J_ab = 3.14*(d_1**4)/32 //mm4 J_bc = 3.14*(d_1**4)/32 //mm4 J_cd = 3.14*(d_2**4 - d_1**4)/32 //mm4 J_de = 3.14*(d_2**4 - d_1**4)/32 //mm4 G = 80 //Gpa -shear modulus rad = T_ab*l_ab/(J_ab*G)+ T_bc*l_bc/(J_bc*G)+ T_cd*l_cd/(J_cd*G)+ T_de*l_de/(J_de*G) //now lets consider T_A then the torsion is only T_A // T_A*(l_ab/(J_ab*G)+ l_bc/(J_bc*G)+ l_cd/(J_cd*G)+ l_de/(J_de*G)) +rad = 0 // since there will be no displacement T_A =-rad/(l_ab/(J_ab*G)+ l_bc/(J_bc*G)+ l_cd/(J_cd*G)+ l_de/(J_de*G)) //Torsion at A T_B = 1150 - T_A //n-m F_X = 0 torsion at B printf("\n The Torsion at rigid end A is %0.2f N-m",T_A) printf("\n The Torsion at rigid end B is %0.2f N-m",T_B)