diff options
Diffstat (limited to '3772/CH4/EX4.6/Ex4_6.sce')
-rw-r--r-- | 3772/CH4/EX4.6/Ex4_6.sce | 90 |
1 files changed, 90 insertions, 0 deletions
diff --git a/3772/CH4/EX4.6/Ex4_6.sce b/3772/CH4/EX4.6/Ex4_6.sce new file mode 100644 index 000000000..cae05ca69 --- /dev/null +++ b/3772/CH4/EX4.6/Ex4_6.sce @@ -0,0 +1,90 @@ +// Problem no 4.4.6,Page No.95 + +clc;clear; +close; +F_C=100 //KN //Pt Load at C +F_E=50 //KN //Pt Load at E +w=20 //KN/m +L_AE=2;L_ED=2;L_DC=2;L_CB=2 //m //Length of AE,ED,DC,CB respectively +L=8 //m //Length of Beam + +//Calculations + +//Let R_A & R_B be the reactions at A & B +//R_A+R_B=190 + +//Taking Moment at A +//M_A=-R_B*L+F_C*(3*L_AE)+w*L_DC*(L_DC*2**-1+2*L_ED)+F_E*L_AE=0 +R_B=(F_C*(3*L_AE)+w*L_DC*(L_DC*2**-1+2*L_ED)+F_E*L_AE)*L**-1 +R_A=190-R_B + +//Shear Force Calculations + +//Shear Force at B +V_B=R_B + +//Shear Force at C +V_C1=R_B +V_C2=R_B-F_C + +//Shear Force at D +V_D=V_C2-w*L_DC + +//Shear Force at E +V_E1=V_D +V_E2=V_D-F_E + +//Shear Force at A +V_A=V_E2 + +//Point of contraflexure +//Let F be the point BF=x +//Shear Force at F +//V_F=R_B-F_C-w*(L_BF-L_CB) +L_FB=-((-R_B+F_C)*w**-1-L_CB) +V_F=0 + +//Bending Moment Calculations + +//Bending Moment at B +M_B=0 + +//Bending Moment at C +M_C=R_B*L_CB + +//Bending Moment at D +M_D=R_B*(L_CB+L_DC)-F_C*L_DC-w*L_DC**2*2**-1 + +//Bending Moment at E +M_E=R_B*(L_CB+L_DC+L_ED)-F_C*(L_ED+L_DC)-w*L_DC*(L_DC*2**-1+L_ED) + +//Bending Moment at A +M_A=R_B*(L_ED+L_DC+L_AE+L_CB)-F_C*(L_ED+L_DC+L_AE)-w*L_DC*(L_DC*2**-1+L_ED+L_AE)-F_E*L_AE + +//Bending Moment at F +L_FC=L_CB-L_CB +M_F=R_B*L_FB-F_C*L_FC-w*L_FC**2*2**-1 +L_DF=L_DC-L_FC + +//Result +printf("The Shear Force and Bending Moment Diagrams are the results") + +//Plotting the Shear Force Diagram +subplot(2,1,1) +X1=[0,L_CB,L_CB,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE] +Y1=[V_B,V_C1,V_C2,V_D,V_E1,V_E2,V_A] +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_CB,L_CB+L_FC,L_CB+L_DC,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED] +Y2=[M_B,M_C,M_F,M_D,M_E,M_A] +Z2=[0,0,0,0,0,0] +plot(X2,Y2) +xlabel("Length in m") +ylabel("Bending Moment in kN.m") +title("the Bending Moment Diagram") |