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Diffstat (limited to '3772/CH4/EX4.8/Ex4_8.sce')
-rw-r--r-- | 3772/CH4/EX4.8/Ex4_8.sce | 95 |
1 files changed, 95 insertions, 0 deletions
diff --git a/3772/CH4/EX4.8/Ex4_8.sce b/3772/CH4/EX4.8/Ex4_8.sce new file mode 100644 index 000000000..0ea0a8200 --- /dev/null +++ b/3772/CH4/EX4.8/Ex4_8.sce @@ -0,0 +1,95 @@ +// Problem no 4.4.8,Page No.97 + +clc;clear; +close; +F_C=150 //KN //Pt LOad at C +w=300 //KN //u.v.l +L=6 //m //Length of beam +L_AE=1;L_DC=2;L_CB=1;L_CD=1 //m //Lengthof AE,DC,CB +L_ED=3 //m //Length of ED +L_Ed=2 //m +L_dD=1 //m + +//Calculations + +//Let R_A & R_B be the reactions at A & B +//R_A+R_B=450 + +//Taking Moment at A +//M_A=0=R_B*L-F_C*(L_CD+L_ED+L_AE)-w*(2*3**-1*L_ED+L_AE) +R_B=(F_C*(L_DC+L_ED+L_AE)+w*(2*3**-1*L_ED+L_AE))*L**-1 +R_A=450-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 + +//Shear Force at E +V_E=V_D-w + +//Shear Force at A +V_A=V_E + +//Pt of contraflexure +//Let F be the pt and EF=x +//Let w1 be the rate of Loading at D we get +w1=w*2*3**-1 +//The rate of Loading at distance x is200*x*3**-1 + +//V_F=0=-R_B+200*x*3**-1*x*2**-1 +//After substituting values and simplifying further we get +L_EF=(R_A*3*100**-1)**0.5 +x=(R_A*3*100**-1)**0.5; +//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 + +//Bending Moment at E +M_E=R_B*(L_CB+L_DC+L_ED)-F_C*(L_DC+L_ED)-w*L_Ed + +//Bending Moment at A +M_A=0 + +//Bending Moment at F +M_F=R_A*(L_AE+L_EF)-200*x*3**-1*x*2**-1*x*3**-1 + +L_FD=L_ED-L_EF + + +//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_CD,L_CB+L_CD+L_ED,L_CB+L_CD+L_ED+L_AE,L_CB+L_CD+L_ED+L_AE] +Y1=[V_B,V_C1,V_C2,V_D,V_E,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_CB,L_CB+L_DC,L_FD+L_DC+L_CB,L_CB+L_DC+L_ED,L_CB+L_DC+L_ED+L_AE] +Y2=[M_B,M_C,M_D,M_F,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") |