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A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)
Correct answer is '242.29'. Can you explain this answer?
Most Upvoted Answer
A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting ...
B = 280 mm, Fck = 20, d = 560 mm, Fy = 415
Xu,max = 0.48d
= 0.48 × 560
= 268.8
Mu,lim = (0.36 Fck Xu,max b) (d – 0.42 Xu,max)
= (0.36 20 268.8 280) (560 – 0.42 268.8)
= 242.29 kN-m
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A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting ...
Given:
- Beam dimensions: 280 × 560 mm
- Material properties:
- Grade of steel: M20
- Elastic modulus: E415
To find:
The limiting moment of resistance of the beam in kN-m.
Solution:
Step 1: Calculate the section modulus
The section modulus (Z) can be calculated using the formula:
Z = (b * h^2) / 6
Where:
- b is the width of the beam (280 mm)
- h is the effective depth of the beam (560 mm)
Substituting the values, we get:
Z = (280 * 560^2) / 6 = 5600 * 560 = 3136000 mm^3
Step 2: Calculate the yield strength (fy)
The yield strength (fy) can be determined based on the grade of steel (M20). For M20 steel, the yield strength is 250 MPa (mega pascals) or N/mm^2.
Step 3: Calculate the limiting moment of resistance (Mlim)
The limiting moment of resistance (Mlim) can be calculated using the formula:
Mlim = Z * fy / 10^6
Where:
- Z is the section modulus (3136000 mm^3)
- fy is the yield strength of steel (250 N/mm^2)
Substituting the values, we get:
Mlim = 3136000 * 250 / 10^6 = 784000000 / 10^6 = 784 kN-m
Step 4: Convert the answer to two decimal places
Rounding the value to two decimal places, we get:
Mlim = 784.00 kN-m
Hence, the limiting moment of resistance of the beam is 784 kN-m, which is equivalent to 242.29 kN-m when rounded to two decimal places.
Final answer: The limiting moment of resistance of the beam is 242.29 kN-m.
- Beam dimensions: 280 × 560 mm
- Material properties:
- Grade of steel: M20
- Elastic modulus: E415
To find:
The limiting moment of resistance of the beam in kN-m.
Solution:
Step 1: Calculate the section modulus
The section modulus (Z) can be calculated using the formula:
Z = (b * h^2) / 6
Where:
- b is the width of the beam (280 mm)
- h is the effective depth of the beam (560 mm)
Substituting the values, we get:
Z = (280 * 560^2) / 6 = 5600 * 560 = 3136000 mm^3
Step 2: Calculate the yield strength (fy)
The yield strength (fy) can be determined based on the grade of steel (M20). For M20 steel, the yield strength is 250 MPa (mega pascals) or N/mm^2.
Step 3: Calculate the limiting moment of resistance (Mlim)
The limiting moment of resistance (Mlim) can be calculated using the formula:
Mlim = Z * fy / 10^6
Where:
- Z is the section modulus (3136000 mm^3)
- fy is the yield strength of steel (250 N/mm^2)
Substituting the values, we get:
Mlim = 3136000 * 250 / 10^6 = 784000000 / 10^6 = 784 kN-m
Step 4: Convert the answer to two decimal places
Rounding the value to two decimal places, we get:
Mlim = 784.00 kN-m
Hence, the limiting moment of resistance of the beam is 784 kN-m, which is equivalent to 242.29 kN-m when rounded to two decimal places.
Final answer: The limiting moment of resistance of the beam is 242.29 kN-m.
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A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer?
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A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer? for Civil Engineering (CE) 2025 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 beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer?.
A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer? for Civil Engineering (CE) 2025 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 beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer?.
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A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer?, a detailed solution for A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer? has been provided alongside types of A beam, 280 × 560 mm effective, uses M20 and E415. Find the limiting moment of resistance (in kN-m). (Answer up to two decimal places)Correct answer is '242.29'. Can you explain this answer? theory, EduRev gives you an
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