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Diffstat (limited to '3705/CH9/EX9.1')
-rw-r--r-- | 3705/CH9/EX9.1/Ex9_1.sce | 33 |
1 files changed, 33 insertions, 0 deletions
diff --git a/3705/CH9/EX9.1/Ex9_1.sce b/3705/CH9/EX9.1/Ex9_1.sce new file mode 100644 index 000000000..07b55e8aa --- /dev/null +++ b/3705/CH9/EX9.1/Ex9_1.sce @@ -0,0 +1,33 @@ + +clear//
+
+//Variable Declaration
+n=20 //Modular Ratio
+sigma_wd=8*10**6 //Maximum bending stress in wood in Pa
+sigma_st=120*10**6 //Maximum bending stress in steel in Pa
+
+//Cross Sectional Details
+Awd=45 //Area of wood in mm^2
+y_wd=160 //Neutral Axis of from bottom of the wooden section in mm
+Ast=15 //Area of steel in mm^2
+y_st=5 //Neutral Axis of the Steel section in mm
+//Dimensions
+ww=150 //width of wooden section in mm
+dw=300 //depth of wooden section in mm
+ws=75 //width of steel section in mm
+ds=10 //depth of steel section in mm
+
+//Calculations
+y_bar=(Awd*y_wd+Ast*y_st)*(Ast+Awd)**-1 //Location of Neutral axis from the bottom in mm
+//Moment of inertia
+I=(ww*dw**3*12**-1)+(ww*dw*(y_wd-y_bar)**2)+(n*ws*ds**3*12**-1)+(n*ws*ds*(y_bar-y_st)**2) //mm^4
+c_top=dw+ds-y_bar //Distance from NA to top fibre in mm
+c_bot=y_bar //Distance from NA to bottom fibre in mm
+
+//The solution will be in different order
+M1=sigma_wd*I*10**-12*c_top**-1 //Maximum Bending Moment in N.m
+M2=sigma_st*I*10**-12*c_bot**-1 //Maximum Bending Moment in N.m
+M=min(M1,M2) //Maximum allowable moment in N.m
+
+//Result
+printf("\n The Maximum Allowable moment that the beam can support is %0.1f kN.m",M)
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