Answer:
a) 2.452
b) 1.256
Explanation:
Stress due to dead weight. = 14 Ksi
Stress due to fully loaded tractor-trailer = 45Ksi
ultimate tensile strength of beam = 76 Ksi
yield strength = 50 Ksi
endurance limit = 38 Ksi
Determine the safety factor for an infinite fatigue life
a) If mean stress on fatigue strength is ignored
β = ( 45 - 14 ) / 2
= 15.5 Ksi
hence FOS ( factor of safety ) = endurance limit / β
= 38 / 15.5 = 2.452
b) When mean stress on fatigue strength is considered
β2 = 45 + 14 / 2
= 29.5 Ksi
Ratio = β / β2 = 15.5 / 29.5 = 0.5254
Next step: applying Goodman method
Sa = [ ( 0.5254 * 38 *76 ) / ( 0.5254*76 + 38 ) ]
= 19.47 Ksi
hence the FOS ( factor of safety ) = Sa / β
= 19.47 / 15.5 = 1.256
Answer:
The rate at which this vacuum cleaner supply energy to the room when running is 285.71 Watts.
Explanation:
power efficiency of electric motor = 70% = 0.70
The power output of the vacuum cleaner =
= 200 W
The power output of the vacuum cleaner = ![P_i](https://tex.z-dn.net/?f=P_i)
![Efficiency=\frac{P_o}{P_i}](https://tex.z-dn.net/?f=Efficiency%3D%5Cfrac%7BP_o%7D%7BP_i%7D)
![0.70=\frac{200 W}{P_i}](https://tex.z-dn.net/?f=0.70%3D%5Cfrac%7B200%20W%7D%7BP_i%7D)
![P_i=\frac{200 W}{0.70}=285.71 W](https://tex.z-dn.net/?f=P_i%3D%5Cfrac%7B200%20W%7D%7B0.70%7D%3D285.71%20W)
The rate at which this vacuum cleaner supply energy to the room when running is 285.71 Watts.