diff options
Diffstat (limited to '3705/CH5/EX5.2/Ex5_2.sce')
-rw-r--r-- | 3705/CH5/EX5.2/Ex5_2.sce | 48 |
1 files changed, 48 insertions, 0 deletions
diff --git a/3705/CH5/EX5.2/Ex5_2.sce b/3705/CH5/EX5.2/Ex5_2.sce new file mode 100644 index 000000000..45506c5aa --- /dev/null +++ b/3705/CH5/EX5.2/Ex5_2.sce @@ -0,0 +1,48 @@ + +clear//
+
+//Variable Declaration
+wf=6 //Width of the top flange in inches
+df=0.8 //Depth of the top flange in inches
+dw=8 //Depth of the web portion in inches
+ww=0.8 //Width of the web portion in inches
+Ra=1600 //Reation at point A in lb
+Rb=3400 //Reaction at point B in lb
+w=400 //Load on the beam in lb/ft
+M_4=3200 //Moment at x=4 ft in lb.ft
+M_10=4000 //Moment at x=10 ft in lb.ft
+
+//Calculations
+//Preliminary Calculations
+//Area computation
+A1=dw*ww //Area of the web portion in sq.in
+A2=wf*df //Area of the top flange in sq.in
+y1=dw*0.5 //Centroid from the bottom of the web portion in inches
+y2=dw+df*0.5 //Centroid from the bottom of the flange portion in inches
+
+//y_bar computation
+y_bar=(A1*y1+A2*y2)/(A1+A2) //centroid of the section in inches from the bottom
+
+//Moment of Inertia computation
+I=(ww*dw**3*12**-1)+(A1*(y1-y_bar)**2)+(wf*df**3*12**-1)+(A2*(y2-y_bar)**2) //Moment of inertia in in^4
+
+//Maximum Bending Moment
+c_top=dw+df-y_bar //distance of top fibre in inches
+c_bot=y_bar //Distance of bottom fibre in inches
+
+//Stress at x=4 ft
+sigma_top=-(12*M_4*c_top)*I**-1 //Stress at top fibre in psi
+sigma_bot=12*M_4*c_bot*I**-1 //Stress at bottom fibre in psi
+
+//Stress at x=10 ft
+sigma_top2=M_10*12*c_top*I**-1 //Stress at the top fibre in psi
+sigma_bot2=-M_10*12*c_bot*I**-1 //Stress at the bottom fibre in psi
+
+//Maximum values
+[sigma_t] = (max(sigma_bot,sigma_bot2,sigma_top,sigma_top2))
+[sigma_c] = (min(sigma_top,sigma_top2,sigma_bot,sigma_bot2))
+
+//Result
+printf("\n The maximum values of stress are")
+printf("\n Maximum Tension= %0.0f psi at x=4ft",sigma_t)
+printf("\n Maximum Compression= %0.0f psi at x=10ft",-sigma_c)
|