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author | prashantsinalkar | 2018-02-03 11:01:52 +0530 |
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committer | prashantsinalkar | 2018-02-03 11:01:52 +0530 |
commit | 7bc77cb1ed33745c720952c92b3b2747c5cbf2df (patch) | |
tree | 449d555969bfd7befe906877abab098c6e63a0e8 /3864/CH4/EX4.20/Ex4_20.sce | |
parent | d1e070fe2d77c8e7f6ba4b0c57b1b42e26349059 (diff) | |
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diff --git a/3864/CH4/EX4.20/Ex4_20.sce b/3864/CH4/EX4.20/Ex4_20.sce new file mode 100644 index 000000000..f4733fccf --- /dev/null +++ b/3864/CH4/EX4.20/Ex4_20.sce @@ -0,0 +1,48 @@ +clear +// + +//Initilization of Variables + +//flanges +b=200 //mm //width +t1=25 //mm //Thickness + +//web +d=450 //mm //Depth +t2=20 //mm //thickness + +D=500 //mm //Total Depth of section + +//Calculations + +//Moment Of Inertia of the section about N-A +I=1*12**-1*b*D**3-1*12**-1*(b-t2)*d**3 //mm**4 + +//Consider an element in the web at distance y from y from N-A +//Depth of web section=225-y + +//C.G From N-A +//y2=y+(((D*2**-1-t)-y)*2**-1) + +//ay_bar for section at y +//Let ay_bar be X +//X=X1 be of Flange + X2 be of web above y +//X=b*t1*(D*2**-1-t1*2**-1)+t2*(d-t1)*(d-t1+y)*2**-1 +//After Sub values and Further simplifying we get +//X=1187500+10*(225**2-y**2) + +//Shear stress at y +//sigma_y=F*(X)*(t2*I)**-1 + +//Shear Force resisted by the Element +//F1=F*X*t2*dy*(t2*I)**-1 + +//Shear stress resisted by web +//sigma=2*F*I**-1*(X)*dy + +//After Integrating above equation and further simplifying we get +//sigma=0.9578*F + +sigma=0.9578*100 + +//Result |