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Diffstat (limited to '3772/CH4/EX4.12/Ex4_12.sce')
-rw-r--r-- | 3772/CH4/EX4.12/Ex4_12.sce | 83 |
1 files changed, 83 insertions, 0 deletions
diff --git a/3772/CH4/EX4.12/Ex4_12.sce b/3772/CH4/EX4.12/Ex4_12.sce new file mode 100644 index 000000000..b39aaa1da --- /dev/null +++ b/3772/CH4/EX4.12/Ex4_12.sce @@ -0,0 +1,83 @@ +// Problem no 4.4.12,Page No.102 + +clc;clear; +close; +F_C=5 //KN //Pt Load at C +F_D=4 //KN //Pt Load at D +L_BC=1.25 //m //Length of BC +L_DB=1 //m //Length of DB +L_AD=3 //m //Length of AD +w=2 //KN/m //u.d.l +L=5.25 //m //Length of beam + +//Calculations + +//Let R_A & R_B be the reactions at A & B +//R_A+R_B=15 + +//Taking Moment at A +//M_A=0=F_C*L-R_B*(L_DB+L_AD)+F_D*L_AD+w*L_AD**2*2**-1 +R_B=-(-F_C*L-F_D*L_AD-w*L_AD**2*2**-1)*(L_DB+L_AD)**-1 +R_A=15-R_B + +//Shear Force Calculations + +//Shear Force at C +V_C=-F_C + +//Shear Force at B +V_B1=V_C +V_B2=V_C+R_B + +//Shear Force at D +V_D1=V_B2 +V_D2=V_B2-F_D + +//Shear Force at A +V_A=-(w*L_AD)-F_D-F_C+R_B + +//Pt of contraflexure +//Let E be the pt and BE=x +//V_E=0=-F_C+R_B-F_D-w*(L_BE-L_DB) +L_BE=-((F_C-R_B+F_D)*w**-1-L_DB); +x=L_BE; +//Bending Moment Calculations + +//Bending Moment at C +M_C=0 + +//Bending Moment at B +M_B=-F_C*L_BC + +//Bending Moment at D +M_D=-F_C*(L_DB+L_BC)-R_B*L_DB + +//Bending Moment at A +M_A=-F_C*L+R_B*(L_DB+L_AD)-F_D*L_AD-w*L_AD**2*2**-1 + +//Bending Moment at E +L_ED=L_BE-L_DB +M_E=-F_C*(L_BC+L_BE)+R_B*L_BE-F_D*(L_BE-L_DB)-w*(L_BE-L_DB)**2*2**-1 + +//Result +printf("The Shear Force and Bending Moment Diagrams are the results") + +//Plotting the Shear Force Diagram +subplot(2,1,1) +X1=[0,L_BC,L_BC,L_BC+L_DB,L_BC+L_DB,L_BC+L_DB+L_AD,L_BC+L_DB+L_AD] +Y1=[V_C,V_B1,V_B2,V_D1,V_D2,V_A,0] +Z1=[0,0,0,0,0,0,0] +plot(X1,Y1,X1,Z1) +xlabel("Length x in m") +ylabel("Shear Force in kN") +title("the Shear Force Diagram") + +//Plotting the Bending Moment Diagram +subplot(2,1,2) +X2=[0,L_BC,L_BC+L_DB,L_BC+L_DB+L_ED,L_BC+L_DB+L_AD] +Y2=[M_C,M_B,M_D,M_E,M_A] +Z2=[0,0,0,0,0] +plot(X2,Y2,X2,Z2) +xlabel("Length in m") +ylabel("Bending Moment in kN.m") +title("the Bending Moment Diagram") |