diff options
Diffstat (limited to '3772/CH5/EX5.12/Ex5_12.sce')
-rw-r--r-- | 3772/CH5/EX5.12/Ex5_12.sce | 42 |
1 files changed, 42 insertions, 0 deletions
diff --git a/3772/CH5/EX5.12/Ex5_12.sce b/3772/CH5/EX5.12/Ex5_12.sce new file mode 100644 index 000000000..8267df0ea --- /dev/null +++ b/3772/CH5/EX5.12/Ex5_12.sce @@ -0,0 +1,42 @@ +// Problem 5.12,Page no.133 + +clc;clear; +close; + +b=200 //mm //width of beam +d=300 //mm //depth of beam +t=12 //mm //thickness of beam +E_s=220 //KN/m**2 //modulus of elasticity of steel +E_w=11 //KN/m**2 //modulus of elasticity of timber +sigma_s=115 //MN/m**2 //stress of steel +sigma_w=9.2 //MN/m**2 //stress of timber +L=2 //m //Span of beam + +//Calculations + +//E_w*E_s**-1=1*20**-1 //ratio of Modulus of elasticity of timber to steel + + +//(Part-1) +b_1=b*20**-1 //mm //web thickness of transformed section +stress=20*sigma_w //MN/m**2 //Allowable stress in web of equivalen beam +//But allowable stress in flanges is sigma_s is 115 KN/m**2 and therefore taken into consideration + + +d_1=324 //mm //depth of beam with thickness in consideration +I=1*12**-1*0.2*0.324**3-2*1*12**-1*0.095*0.3**3 //m**4 //M.I of transformed section + +//Using Relation, M*I**-1=sigma*y**-1 we get + +//Part-2 +M_max=I*(324*10**-3*2**-1)**-1*sigma_s*10**6 //N*m //Max allowable Bending moment for steel section + +//Part-3 +//As beam is simply supported at the ends and the load is applied at the centre of beam +//M_max=W*L*4**-1 //Max Bending moment +W=M_max*4*L**-1 //N //Allowable stress Load + +//Result +printf("Web thickness of Equivalent steel section is %.2f mm",b_1) +printf("\n Max Allowable bending moment for section is %.2f N-m",M_max) +printf("\n Allowable safe Load is %.2f N",W) |