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authorprashantsinalkar2018-02-03 11:01:52 +0530
committerprashantsinalkar2018-02-03 11:01:52 +0530
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parentd1e070fe2d77c8e7f6ba4b0c57b1b42e26349059 (diff)
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+clear
+//
+
+//Initilization of Variables
+
+L=3 //m //span
+sigma_t=35 //N/mm**2 //Permissible stress in tension
+sigma_c=90 //N/mm**2 //Permissible stress in compression
+
+//Flanges
+t=30 //mm //Thickness
+d=250 //mm //Depth
+
+//Web
+t2=25 //mm //Thickness
+b=600 //mm //Width
+
+//Calculations
+
+//Let y_bar be the Distance of N.A from Extreme Fibres
+y_bar=(t*d*d*2**-1*2+(b-2*t)*t2*t2*2**-1)*(t*d*2+(b-2*t)*t2)**-1
+
+//Moment of Inertia
+I=(1*12**-1*t*d**3+t*d*(d*2**-1-y_bar)**2)*2+1*12**-1*(b-2*t)*t2**3+(b-2*t)*t2*(t2*2**-1-y_bar)**2
+
+//Part-1
+
+//If web is in Tension
+y_t=y_bar //mm
+y_c=d-y_bar //mm
+
+//Moment carrying caryying capacity From consideration of tensile stress
+M=sigma_t*I*(y_bar)**-1 //N-mm
+
+//Moment carrying caryying capacity From consideration of compressive stress
+M1=sigma_c*I*(y_c)**-1 //N-mm
+
+//If w KN/m is u.d.l in beam,Max bending moment
+//M=wl**2*8**-1
+//After further simplifyng we get
+//M=1.125*w*10**6 N-mm
+w=M*(1.125*10**6)**-1 //KN
+
+//Part-2
+
+//If web is in compression
+y_t2=178.299 //mm
+y_c2=71.71 //mm
+
+//Moment carrying caryying capacity From consideration of tensile stress
+M2=sigma_t*I*(y_t2)**-1 //N-mm
+
+//Moment carrying caryying capacity From consideration of compressive stress
+M3=sigma_c*I*(y_c2)**-1 //N-mm
+
+//Moment of resistance is M2
+
+//Equating it to bending moment we get
+//M2=1.125*10**6*w2
+//After further simplifyng we get
+w2=M2*(1.125*10**6)**-1
+
+//Result
+printf("\n Uniformly Distributed Load carrying capacity if:web is in Tension %0.2f KN",w)
+printf("\n :web is in compression %0.3f KN",w2)