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Diffstat (limited to '3864/CH4/EX4.12/Ex4_12.sce')
-rw-r--r-- | 3864/CH4/EX4.12/Ex4_12.sce | 43 |
1 files changed, 43 insertions, 0 deletions
diff --git a/3864/CH4/EX4.12/Ex4_12.sce b/3864/CH4/EX4.12/Ex4_12.sce new file mode 100644 index 000000000..d1060e823 --- /dev/null +++ b/3864/CH4/EX4.12/Ex4_12.sce @@ -0,0 +1,43 @@ +clear +// + +//Initilization of Variables + +b=200 //mm //Width of timber +d=400 //mm //Depth of timber +t=6 //mm //Thickness +b2=200 //mm //width of steel plate +t2=20 //mm //Thickness of steel plate +M=40*10**6 //KN-mm //Moment +//Let E_s*E_t**-1=X +X=20 //Ratio of Modulus of steel to timber + +//Calculations + +//let y_bar be the Distance of centroidfrom bottom most fibre +y_bar=(b*d*(b+t)+t2*b2*t*t*2**-1)*(b*d+t2*b2*t)**-1 //mm + +//Moment of Inertia +I=1*12**-1*b*d**3+b*d*(b+t-(y_bar))**2+1*12**-1*t2*b2*t**3+b2*t2*t*((y_bar)-t*2**-1)**2 + + +//distance of the top fibre from N-A +y_1=d+t-y_bar //mm + +//Distance of the junction of timber and steel From N-A +y_2=y_bar-t //mm + +//Stress in Timber at the top +Y=M*I**-1*y_1 //N/mm**2 + +//Stress in the Timber at the junction point +Z=M*I**-1*y_2 + +//Coressponding stress in steel at the junction point +Z2=X*Z //N/mm**2 + +//The stress in Extreme steel fibre +Z3=X*M*I**-1*y_bar + +//Result +printf("\n Stress in Extreme steel Fibre %0.2f N/mm**2",Z3) |