A batch of parts is produced on a semi-automated production machine in a sequential batch production operation. Batch quantity i
1 answer:
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Answer:
for m1=0.2
M2=0.4
for m1=2.5
M2=5
1= channel input
2.channel output
Explanation:
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To solve this problem follow the steps below!
1.As it is an isentropic system, it means that the temperature of the fluid remains constant, so the volumetric flow is the same, remember that this is calculated by calculating the product between the velocity and the area.
V1A1=V2A2
1= channel input
2.channel output
We can divide both sides of the equation by the speed of sound(V)
2. The mach number is defined as the ratio between the speed of a fluid and the speed of sound,
we rearrange the equation
M1A1=M2A2
3.Now considering that the channel is convergent and that the ratio between the areas is 2, we have the following equation (A1 / A2 = 2)
M1(2)=M2
4.Finally we solve for the number of mach indicated (0.2 and 2.5)
for m1=0.2
0.2(2)=M2=0.4
for m1=2.5
2.5(2)=M2=5
Answer:
A) б1 = 28 ksi and б2 = -6.02 ksi
B) 1.25
Explanation:
Given data :
Torsional stress = 13 ksi
Alternating bending stress = 22ksi
A) determine yielding factor of safety according to the distortion energy theory
б1,2 = ± √(22/2)² + 13²
= 11 ± 17
therefore б1 = 28 ksi hence б2 = -6.02 ksi
B) determine the fatigue factor of safety
with properties ; Se = 35ksi, Sy = 60 ksi, Sut = 85 ksi
( б1 - б2 )² + ( б2 - б3 )² + ( б3 - б1 )² ≤ 2 ( Sy / FOS ) ²
( 28 + 6.02 ) ² + ( 6.02 - 0 )² + ( 0 - 28 )² ≤ 2 ( 60 / FOS ) ²
solving for FOS = 1.9
Next we can determine FOS with the use of Goodman criterion
бm / Sut + бa / Se = 1 / FOS
= 0 / 85 + 28/35 = 1 / FOS
making FOS the subject of the equation ; hence FOS = 1.25