Answer:
i) 796.18 N/mm^2
ii) 1111.11 N/mm^2
Explanation:
Initial diameter ( D ) = 12 mm
Gage Length = 50 mm
maximum load ( P ) = 90 KN
Fractures at = 70 KN
minimum diameter at fracture = 10mm
<u>Calculate the engineering stress at Maximum load and the True fracture stress</u>
<em>i) Engineering stress at maximum load = P/ A </em>
= P / = 90 * 10^3 / ( 3.14 * 12^2 ) / 4
= 90,000 / 113.04 = 796.18 N/mm^2
<em>ii) True Fracture stress = P/A </em>
= 90 * 10^3 / ( 3.24 * 10^2) / 4
= 90000 / 81 = 1111.11 N/mm^2
Answer:
a) The difference in mercury levels in the manometer is 2 centimeters.
b) The gage of the gas is 2.670 kilopascals.
Explanation:
a) Pressure in gases is absolute. A manometer helps to determine the hydrostatic difference between pressure of the gas () and atmospheric pressure (), both measured in pascals. A kilopascal equals 1000 pascals and 1 meter equals 100 centimeters. That is:
(1)
Where:
- Density of mercury, measured in kilograms per cubic meter.
- Gravitational acceleration, measured in meters per square second.
- Difference in mercury levels, measured in meters.
If we know that , , and , the difference in mercury levels in the manometer is:
The difference in mercury levels in the manometer is 2 centimeters.
b) The gage pressure is the difference between gas pressure and atmospheric pressure: (, )
(2)
The gage of the gas is 2.670 kilopascals.