diff options
Diffstat (limited to '3864/CH4/EX4.14/Ex4_14.sce')
-rw-r--r-- | 3864/CH4/EX4.14/Ex4_14.sce | 53 |
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 new file mode 100644 index 000000000..dd7431bd4 --- /dev/null +++ b/3864/CH4/EX4.14/Ex4_14.sce @@ -0,0 +1,53 @@ +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) |