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A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is ____ (correct to two decimal places).
Correct answer is '1.00 to 1.20'. Can you explain this answer?
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A steel column of rectangular section (15 mm × 10 mm) and length...
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A steel column of rectangular section (15 mm × 10 mm) and length...
X 20 mm) is subjected to a compressive load of 50 kN. The column is 2 meters long and fixed at both ends. Calculate the stress and strain in the column.
To calculate the stress in the column, we'll use the formula:
Stress = Force / Area
First, we need to calculate the area of the column's cross-section:
Area = length x width
Area = 15 mm x 20 mm = 300 mm^2
Next, we'll convert the area from mm^2 to m^2:
Area = 300 mm^2 * (1 m / 1000 mm)^2 = 0.0003 m^2
Now we can calculate the stress:
Stress = 50 kN / 0.0003 m^2 = 166,667 kPa
To calculate the strain in the column, we'll use the formula:
Strain = Change in length / Original length
Since the column is fixed at both ends, it won't change in length under compressive load. Therefore, the strain is 0.
To calculate the stress in the column, we'll use the formula:
Stress = Force / Area
First, we need to calculate the area of the column's cross-section:
Area = length x width
Area = 15 mm x 20 mm = 300 mm^2
Next, we'll convert the area from mm^2 to m^2:
Area = 300 mm^2 * (1 m / 1000 mm)^2 = 0.0003 m^2
Now we can calculate the stress:
Stress = 50 kN / 0.0003 m^2 = 166,667 kPa
To calculate the strain in the column, we'll use the formula:
Strain = Change in length / Original length
Since the column is fixed at both ends, it won't change in length under compressive load. Therefore, the strain is 0.
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A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is ____ (correct to two decimal places).Correct answer is '1.00 to 1.20'. Can you explain this answer?
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A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is ____ (correct to two decimal places).Correct answer is '1.00 to 1.20'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is ____ (correct to two decimal places).Correct answer is '1.00 to 1.20'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A steel column of rectangular section (15 mm × 10 mm) and length 1.5 m is simply supported at both ends. Assuming modulus of elasticity, E = 200 GPa for steel, the critical axial load (in kN) is ____ (correct to two decimal places).Correct answer is '1.00 to 1.20'. Can you explain this answer?.
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