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A spherical vessel with an inside diameter of 2m is made of material with max allowable tensile
stress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for the
vessel is
(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm
?
stress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for the
vessel is
(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm
?
Most Upvoted Answer
A spherical vessel with an inside diameter of 2m is made of material w...
**Given:**
- Inside diameter of the spherical vessel = 2m
- Maximum allowable tensile stress = 500 N/mm2
- Pressure inside the vessel = 25 bar
**To find:**
The thickness required for the vessel.
**Assumptions:**
- The vessel is made of a homogeneous material.
- The vessel is thin-walled.
- The material has the same properties in all directions.
**Solution:**
**Step 1: Convert units**
- Convert the inside diameter from meters to millimeters.
Inside diameter = 2m = 2000mm
- Convert the pressure from bar to N/mm2.
Pressure = 25 bar = 25 N/mm2
**Step 2: Determine the stress caused by pressure**
The stress caused by pressure inside the vessel is given by the formula:
Stress = Pressure × Radius / Thickness
Since the vessel is spherical, the radius is half of the inside diameter.
Radius = 2000mm / 2 = 1000mm
Substituting the values:
500 N/mm2 = 25 N/mm2 × 1000mm / Thickness
**Step 3: Solve for the thickness**
To find the thickness, we rearrange the equation:
Thickness = 25 N/mm2 × 1000mm / 500 N/mm2
Thickness = 50mm
**Step 4: Convert the thickness to meters**
The thickness is currently in millimeters, so we need to convert it to meters:
Thickness = 50mm = 0.05m
**Step 5: Determine the final answer**
The thickness required for the vessel is 0.05m, which can be rounded to 0.05m.
Therefore, the correct answer is (d) 1.25mm.
- Inside diameter of the spherical vessel = 2m
- Maximum allowable tensile stress = 500 N/mm2
- Pressure inside the vessel = 25 bar
**To find:**
The thickness required for the vessel.
**Assumptions:**
- The vessel is made of a homogeneous material.
- The vessel is thin-walled.
- The material has the same properties in all directions.
**Solution:**
**Step 1: Convert units**
- Convert the inside diameter from meters to millimeters.
Inside diameter = 2m = 2000mm
- Convert the pressure from bar to N/mm2.
Pressure = 25 bar = 25 N/mm2
**Step 2: Determine the stress caused by pressure**
The stress caused by pressure inside the vessel is given by the formula:
Stress = Pressure × Radius / Thickness
Since the vessel is spherical, the radius is half of the inside diameter.
Radius = 2000mm / 2 = 1000mm
Substituting the values:
500 N/mm2 = 25 N/mm2 × 1000mm / Thickness
**Step 3: Solve for the thickness**
To find the thickness, we rearrange the equation:
Thickness = 25 N/mm2 × 1000mm / 500 N/mm2
Thickness = 50mm
**Step 4: Convert the thickness to meters**
The thickness is currently in millimeters, so we need to convert it to meters:
Thickness = 50mm = 0.05m
**Step 5: Determine the final answer**
The thickness required for the vessel is 0.05m, which can be rounded to 0.05m.
Therefore, the correct answer is (d) 1.25mm.
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A spherical vessel with an inside diameter of 2m is made of material with max allowable tensilestress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for thevessel is(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm ?
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A spherical vessel with an inside diameter of 2m is made of material with max allowable tensilestress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for thevessel is(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm ? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A spherical vessel with an inside diameter of 2m is made of material with max allowable tensilestress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for thevessel is(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm ? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spherical vessel with an inside diameter of 2m is made of material with max allowable tensilestress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for thevessel is(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm ?.
A spherical vessel with an inside diameter of 2m is made of material with max allowable tensilestress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for thevessel is(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm ? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A spherical vessel with an inside diameter of 2m is made of material with max allowable tensilestress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for thevessel is(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm ? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A spherical vessel with an inside diameter of 2m is made of material with max allowable tensilestress is 500 N/mm2. If the vessel is pressurized to 25 bar, then the thickness required for thevessel is(a) 2.5mm (b) 10mm (c) 5mm (d) 1.25mm ?.
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