summaryrefslogtreecommitdiff
path: root/3772/CH4/EX4.6/Ex4_6.sce
diff options
context:
space:
mode:
Diffstat (limited to '3772/CH4/EX4.6/Ex4_6.sce')
-rw-r--r--3772/CH4/EX4.6/Ex4_6.sce90
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")