diff options
Diffstat (limited to '3864/CH4/EX4.10/Ex4_10.sce')
-rw-r--r-- | 3864/CH4/EX4.10/Ex4_10.sce | 53 |
1 files changed, 53 insertions, 0 deletions
diff --git a/3864/CH4/EX4.10/Ex4_10.sce b/3864/CH4/EX4.10/Ex4_10.sce new file mode 100644 index 000000000..d09c2efb0 --- /dev/null +++ b/3864/CH4/EX4.10/Ex4_10.sce @@ -0,0 +1,53 @@ +clear +// + +//Initilization of Variables +H=10 //mm //Height +A1=160*160 //mm**2 //area of square section at bottom +L1=160 //mm //Length of square section at bottom +b1=160 //mm //width of square section at bottom +A2=80*80 //mm**2 //area of square section at top +L2=80 //mm //Length of square section at top +b2=80 //mm //Width of square section at top +P=100 //N //Pull + +//Calculations + +//Consider a section at distance y from top. +//Let the side of square bar be 'a' +//a=L2+y*(H)**-1*(b1-b2) +//After further simplifying we get +//a=L2+8*y + +//Moment of Inertia +//I=2*1*12**-1*a*(2)**0.5*(a*((2)**0.5)**-1)**3 +//After further simplifying we get +//I=a**4*12**-1 + +//Section Modulus +//Z=a**4*(12*a*(2)**0.5)**-1 +//After further simplifying we get +//Z=2**0.5*a**3*(12)**-1 //mm**3 + +//Bending moment at this section=100*y N-mm +//M=100*10**3*y //N-mm + +//But +//M=sigma*Z +//After sub values in above equation we get +//sigma=M*Z**-1 +//After further simplifying we get +//sigma=1200*10**3*(2**0.5)**-1*y*((80+80*y)**3)**-1 .......(1) + +//For Max stress df*(dy)**-1=0 +//After taking Derivative of above equation we get +//df*(dy)**-1=1200*10**3*(2**0.5)**-1*((80+8*y)**-3+y(-3)*(80+8*y)**-4*8) +//After further simplifying we get +y=80*16**-1 //m + +//Max stress at this level is +sigma=1200*10**3*(2**0.5)**-1*y*((80+8*y)**3)**-1 + +//Result +printf("\n Max Bending stress is Developed at %0.3f m",y) +printf("\n Value of Max Bending stress is %0.3f N/mm**2",sigma) |