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1 files changed, 53 insertions, 0 deletions

diff --git a/3864/CH4/EX4.14/Ex4_14.sce b/3864/CH4/EX4.14/Ex4_14.sce
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+clear
+//
+
+//Initilization of Variables
+
+L=6000 //mm //Span of beam
+W=20*10**3 //N //Load
+sigma=8 //N/mm**2 //Stress
+b=200 //mm //Width of section
+d=300 //mm //Depth of section
+
+//Calculations
+
+//let x be the distance from left side of beam
+
+//Bending moment
+//M=W*2**-1*x //Nmm   .......(1)
+
+//But M=sigma*Z   ..........(2)
+
+//Equating equation 1 and 2 we get
+//W*2**-1*x=sigma*Z    ............(3)
+
+//Section Modulus 
+//Z=1*6*b*d**2   ...............(4)
+
+//Equating equation 3 and 4 we get
+//b*d**2=3*W*x*sigma**-1 .............(5)
+
+//Beam of uniform strength of constant depth
+//b=3*W*x*(sigma*d**2)    
+
+//When x=0
+b=0
+
+//When x=L*2**-1
+b2=3*W*L*(2*sigma*d**2)**-1 //mm
+
+//Beam with constant width of 200 mm
+
+//We have
+//d=(3*W*x*(sigma*d)**-1)**0.5
+//thus depth varies as (x)**0.5
+
+//when x=0
+d1=0
+
+//when x=L*2**-1
+d2=(3*W*L*(2*sigma*200)**-1)**0.5 //mm
+
+//Result
+printf("\n Cross section of rectangular beam is: %0.2f  mm",b2)
+printf("\n                                     : %0.2f  mm",d2)