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The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?
- a)25 cm
- b)26.19cm
- c)30.14 cm
- d)27.9 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The safe stress for a hollow steel column which carries an axial load ...
Area of the cross section of column = π/4 ( 0.302 – d2) m2
Area = load / stress .
So, π/4 ( 0.302 – d2) m2 = 21 / 125
d = 26.19cm.
Area = load / stress .
So, π/4 ( 0.302 – d2) m2 = 21 / 125
d = 26.19cm.
Most Upvoted Answer
The safe stress for a hollow steel column which carries an axial load ...
Given data:
Axial load on the column = 2100 kN
Safe stress for the column = 125 MN/m2
External diameter of the column = 30 cm
To find:
Internal diameter of the column
Solution:
1. First, we need to convert the axial load from kN to N.
1 kN = 1000 N
Therefore, axial load = 2100 × 1000 N = 2,100,000 N
2. We can use the formula for stress in a hollow cylinder to find the internal diameter of the column.
Stress = (Force × Internal radius) / (External radius^2 - Internal radius^2)
3. Rearranging the formula, we get:
Internal radius = ((External radius^2 - Internal radius^2) × Stress) / Force
4. Substituting the given values, we get:
External radius = 30 / 2 = 15 cm
Stress = 125 MN/m2 = 125 × 10^6 N/m2
Force = 2,100,000 N
5. Substituting these values in the formula, we get:
Internal radius = ((15^2 - r^2) × 125 × 10^6) / 2,100,000
6. Simplifying the equation, we get:
r^2 = 1.3245 × 10^6
r = √1.3245 × 10^6 = 1150.5 cm
7. Finally, the internal diameter of the column can be calculated as:
Internal diameter = 2 × Internal radius = 2 × 1150.5 cm = 2301 cm ≈ 26.19 cm
Therefore, the correct answer is option (B) 26.19 cm.
Axial load on the column = 2100 kN
Safe stress for the column = 125 MN/m2
External diameter of the column = 30 cm
To find:
Internal diameter of the column
Solution:
1. First, we need to convert the axial load from kN to N.
1 kN = 1000 N
Therefore, axial load = 2100 × 1000 N = 2,100,000 N
2. We can use the formula for stress in a hollow cylinder to find the internal diameter of the column.
Stress = (Force × Internal radius) / (External radius^2 - Internal radius^2)
3. Rearranging the formula, we get:
Internal radius = ((External radius^2 - Internal radius^2) × Stress) / Force
4. Substituting the given values, we get:
External radius = 30 / 2 = 15 cm
Stress = 125 MN/m2 = 125 × 10^6 N/m2
Force = 2,100,000 N
5. Substituting these values in the formula, we get:
Internal radius = ((15^2 - r^2) × 125 × 10^6) / 2,100,000
6. Simplifying the equation, we get:
r^2 = 1.3245 × 10^6
r = √1.3245 × 10^6 = 1150.5 cm
7. Finally, the internal diameter of the column can be calculated as:
Internal diameter = 2 × Internal radius = 2 × 1150.5 cm = 2301 cm ≈ 26.19 cm
Therefore, the correct answer is option (B) 26.19 cm.
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The safe stress for a hollow steel column which carries an axial load ...
Three bars made of copper, zinc and aluminum are of equal length and have cross section 500,750 and 1000mm² respectively. They are rigidly connected at their ends.if this compound member is subjected to a longitudinal pull of 250KN. Estimate the proportion of the load carried on each rod and the induced stresses. take the value of E for copper =1.3×10^5, for zinc=1.0×10^5 and for aluminum=0.8×10^8
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The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer?.
The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer?.
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The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The safe stress for a hollow steel column which carries an axial load of 2100 kN is 125 MN/m2. if the external diameter of the column is 30cm, what will be the internal diameter?a)25 cmb)26.19cmc)30.14 cmd)27.9 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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