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Diffstat (limited to '3864/CH10/EX10.1/Ex10_1.sce')
-rw-r--r-- | 3864/CH10/EX10.1/Ex10_1.sce | 61 |
1 files changed, 61 insertions, 0 deletions
diff --git a/3864/CH10/EX10.1/Ex10_1.sce b/3864/CH10/EX10.1/Ex10_1.sce new file mode 100644 index 000000000..b17b14525 --- /dev/null +++ b/3864/CH10/EX10.1/Ex10_1.sce @@ -0,0 +1,61 @@ +clear +// +// + +//Initilization of Variables + +P_e=300 //N/mm**2 //Elastic Limit in tension +FOS=3 //Factor of safety +mu=0.3 //Poissons ratio +P=12*10**3 //N Pull +Q=6*10**3 //N //Shear force + +//Calculations + +//Let d be the diameter of the shaft + +//Direct stress +//P_x=P*(%pi*4**-1*d**3)**-1 +//After substituting values and further simplifying we get +//P_x=48*10**3 + +//Now shear stress at the centre of bolt +//q=4*3**-1*q_av +//After substituting values and further simplifying we get +//q=32*10**3*(%pi*d**2)**-1 + +//Principal stresses are +//P1=P_x*2**-1+((P_x*2**-1)**2+q**2)**0.5 +//After substituting values and further simplifying we get +//p1=20371.833*(d**2)**-1 + +//P2=P_x*2**-1-((P_x*2**-1)**2+q**2)**0.5 +//After substituting values and further simplifying we get +//P2=-5092.984*(d**2)**-1 + +//q_max=((P_x*2**-1)**2+q**2)**0.5 + +//From Max Principal stress theory +//Permissible stress in Tension +P1=100 //N/mm**2 +d=(20371.833*P1**-1)**0.5 + +//Max strain theory +//e_max=P1*E**-1-mu*P2*E**-1 +//After substituting values and further simplifying we get +//e_max=21899.728*(d**2*E)**-1 + +//According to this theory,the design condition is +//e_max=P_e*(E*FOS)**-1 +//After substituting values and further simplifying we get +d2=(21899.728*3*300**-1)**0.5 //mm + +//Max shear stress theory +//e_max=shear stress at elastic*(FOS)**-1 +//After substituting values and further simplifying we get +d3=(12732.421*6*300**-1)**0.5 //mm + +//Result +printf("\n Diameter of Bolt by:Max Principal stress theory %0.2f mm",d) +printf("\n :Max strain theory %0.2f mm",d2) +printf("\n :Max shear stress theory %0.2f mm",d3) |