PLEASE PLEASE BE SURE THE ANSWER IS RIGHT, THANKS
GIVEN DATA
external load applied (p) = 80 kips
bolt stiffness ( Kb ) = 2.6(10^6) Ibf / in
Member stiffness (Km) = 15(10^6) Ibf / in
Diameter of bolts ( d ) = 1/2 in - 13 UNC grade 8
Number of bolts = 6
assumptions
for unified screw threads UNC and UNF
tensile stress area ( A ) = 0.1419 in^2
SAE specifications for steel bolts for grade 8
we have
Minimum proof strength ( Sp) = 120 kpsi
Minimum tensile strength (St) = 150 Kpsi
Load Bolt (p) = external load / number of bolts = 80 / 6 = 13.33 kips
Given the following values
Fi = 75%* Sp*At = (0.75*120*0.1419 ) = 12.771 kip
Preload stress
αi = 0.75Sp = 0.75 * 120 = 90 kpsi
stiffness constant
C = = 2.6/17.6=0.147
A) yielding factor of safety
nP =
nP = 120*0.1419/((0.147*80)+12.771)=50.28/24.531=2.05Ans
Yielding factor of safety =2.05
PLEASE PLEASE BE SURE THE ANSWER IS RIGHT, THANKS ! Required information For a bolted assembly...
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