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Diffstat (limited to '3772/CH4/EX4.14')
-rw-r--r-- | 3772/CH4/EX4.14/Ex4_14.sce | 82 |
1 files changed, 82 insertions, 0 deletions
diff --git a/3772/CH4/EX4.14/Ex4_14.sce b/3772/CH4/EX4.14/Ex4_14.sce new file mode 100644 index 000000000..30bbe8db7 --- /dev/null +++ b/3772/CH4/EX4.14/Ex4_14.sce @@ -0,0 +1,82 @@ +// Problem no 4.4.14,Page No.105 + + +clc;clear; +close; +L_DE=2.5;L_BC=2.5 //m //Length of DE & BC +L_CD=5;L_FE=5;L_AB=5 //m //Length of CD & AB +F_C=80;F_B=80 //KN //Pt Load at C & B +w1=16 //KN/m //u.d.l on L_DE +w2=10 //KN/m //u.d.l on L_AB +L=10 //m //Length of beam + +//Calculations + +//LEt R_A and R_D be the reactions at A and D +//R_A+R_D=250 + +//Taking moment at A +//M_A=0=w1*L_DE*(L_DE*2**-1+L_CD+L_BC+L_AB)-R_D*(L_CD+L_BC+L_AB)+F_C*(L_BC+L_AB)+F_C*(L_BC+L_AB)+F_B*L_AB+w2*L_AB**2*2**-1 +R_D=-(-w1*L_DE*(L_DE*2**-1+L_CD+L_BC+L_AB)-F_C*(L_BC+L_AB)-F_B*(L_AB)-w2*L_AB**2*2**-1)*(L_CD+L_BC+L_AB)**-1 +R_A=250-R_D + +//Shear Force Calculations + +//Shear Force at E +V_E=0 + +//Shear Force at D +V_D1=-w1*L_DE +V_D2=-w1*L_DE+R_D + +//Shear Force at C +V_C1=V_D2 +V_C2=V_D2-F_C + +//Shear Force at B +V_B1=V_C2 +V_B2=V_C2-F_B + +//Shear Force at A +V_A1=V_B2-w2*L_AB +V_A2=0 + +//Bending Moment Calculations + +//Bending Moment at E +M_E=0 + +//Bending Moment at D +M_D=-w1*L_DE**2*2**-1 + +//Bending Moment at C +M_C=R_D*L_CD-w1*L_DE*(L_DE*2**-1+L_CD) + +//Bending Moment at B +M_B=-w1*L_DE*(L_DE*2**-1+L_CD+L_BC)+R_D*(L_CD+L_BC)-F_C*L_BC + +//Bending Moment at A +M_A=-w1*L_DE*(L_DE*2**-1+L_CD+L_BC+L_AB)+R_D*(L_CD+L_BC+L_AB)-F_C*(L_BC+L_AB)-F_B*L_AB-w2*L_AB**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_FE,L_FE,L_DE+L_CD,L_DE+L_CD,L_DE+L_CD+L_BC,L_DE+L_CD+L_BC,L_DE+L_CD+L_BC+L_AB,L_DE+L_CD+L_BC+L_AB] +Y1=[V_E,V_D1,V_D2,V_C1,V_C2,V_B1,V_B2,V_A1,V_A2] +Z1=[0,0,0,0,0,0,0,0,0] +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_DE,L_DE+L_CD,L_DE+L_CD+L_BC,L] +Y2=[M_E,M_D,M_C,M_B,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") |