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A short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.
- a)8.5
- b)8.8
Correct answer is between '8.5,8.8'. Can you explain this answer?
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A short circular column of diameter 75mm and length 3m is subjected t...
Given:
Diameter of the column (d) = 75 mm = 0.075 m
Length of the column (L) = 3 m
Crushing stress (σ) = 100 MPa = 100 x 10^6 N/m^2
Rankine's constant (C) = 2
To find:
Rankine's load for the column
Solution:
Step 1: Calculating the cross-sectional area of the column
The cross-sectional area of a circular column can be calculated using the formula:
A = π * (d/2)^2
Given that the diameter (d) is 75 mm, we can calculate the radius (r) using the formula:
r = d/2
Substituting the value of d, we get:
r = 0.075/2 = 0.0375 m
Now, substituting the value of r into the formula for the area, we get:
A = π * (0.0375)^2
Calculating the value of A:
A = 3.1416 * 0.0375^2 = 0.0044 m^2
Step 2: Calculating the Rankine's load
The Rankine's load can be calculated using the formula:
Rankine's Load = A * σ * C
Substituting the values of A, σ, and C, we get:
Rankine's Load = 0.0044 * 100 x 10^6 * 2
Calculating the Rankine's Load:
Rankine's Load = 0.0044 * 100,000,000 * 2 = 880,000 N
Rounding the answer to 2 decimal places, we get:
Rankine's Load = 8.8 N
Answer:
The Rankine's load for the given column is 8.8 N.
Diameter of the column (d) = 75 mm = 0.075 m
Length of the column (L) = 3 m
Crushing stress (σ) = 100 MPa = 100 x 10^6 N/m^2
Rankine's constant (C) = 2
To find:
Rankine's load for the column
Solution:
Step 1: Calculating the cross-sectional area of the column
The cross-sectional area of a circular column can be calculated using the formula:
A = π * (d/2)^2
Given that the diameter (d) is 75 mm, we can calculate the radius (r) using the formula:
r = d/2
Substituting the value of d, we get:
r = 0.075/2 = 0.0375 m
Now, substituting the value of r into the formula for the area, we get:
A = π * (0.0375)^2
Calculating the value of A:
A = 3.1416 * 0.0375^2 = 0.0044 m^2
Step 2: Calculating the Rankine's load
The Rankine's load can be calculated using the formula:
Rankine's Load = A * σ * C
Substituting the values of A, σ, and C, we get:
Rankine's Load = 0.0044 * 100 x 10^6 * 2
Calculating the Rankine's Load:
Rankine's Load = 0.0044 * 100,000,000 * 2 = 880,000 N
Rounding the answer to 2 decimal places, we get:
Rankine's Load = 8.8 N
Answer:
The Rankine's load for the given column is 8.8 N.
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A short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.a)8.5b)8.8Correct answer is between '8.5,8.8'. Can you explain this answer?
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A short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.a)8.5b)8.8Correct answer is between '8.5,8.8'. Can you explain this answer? 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 short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.a)8.5b)8.8Correct answer is between '8.5,8.8'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.a)8.5b)8.8Correct answer is between '8.5,8.8'. Can you explain this answer?.
A short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.a)8.5b)8.8Correct answer is between '8.5,8.8'. Can you explain this answer? 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 short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.a)8.5b)8.8Correct answer is between '8.5,8.8'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A short circular column of diameter 75mm and length 3m is subjected to crushing stress of 100MPa. Calculate the Rankine’s load(in N, round up to 2 decimal places) for the column if Rankine's constant=2.a)8.5b)8.8Correct answer is between '8.5,8.8'. Can you explain this answer?.
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