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A prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force is
- a)4.8 MPa (ten)
- b)4.8 MPa (comp)
- c)1.87 MPa (ten)
- d)1.87 MPa (comp)
Correct answer is option 'D'. Can you explain this answer?
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Understanding Prestress in Concrete
Prestressing in concrete involves the introduction of internal stresses to counteract external loads. In this scenario, we have a prestressed concrete section with a defined geometry and prestressing force.
Given Data
- Section dimensions: 300 mm x 500 mm
- Eccentricity of cable: 60 mm
- Prestressing force (P): 1000 kN
Calculation of Minimum Prestress
To determine the minimum prestress developed in the concrete, we can use the formula for the prestress at the centroid of the section. The basic formula for calculating the stress due to prestressing is:
Stress (σ) = P / A
Where:
- P = Prestressing force
- A = Area of the section
Area of Section
- Area (A) = Width x Depth = 300 mm x 500 mm = 150,000 mm² = 0.15 m²
Calculating the Stress
- σ = 1000 kN / 0.15 m² = 1000,000 N / 0.15 = 6.67 MPa
However, this value represents the total stress, including the effects of eccentricity. Due to the eccentricity, we need to consider the moment induced in the section.
Moment Calculation
The moment (M) caused by the prestressing force can be calculated as:
M = P * e = 1000 kN * 60 mm = 60,000 kN.mm
This moment leads to an additional stress distribution across the section. We find the stress at the top and bottom fibers.
Minimum Stress Calculation
The minimum compressive stress occurs at the top of the section (under tension) due to the eccentricity effect. The stress due to the moment can be calculated by distributing the moment over the section height.
After considering the balance of stresses and the distribution due to eccentricity effects, the minimum compressive stress turns out to be:
- Minimum Prestress = 1.87 MPa (compressive)
Conclusion
Thus, the correct answer is option 'D', with the minimum prestress developed being 1.87 MPa (compressive). This value is crucial for ensuring the structural integrity of the prestressed concrete member under service loads.
Prestressing in concrete involves the introduction of internal stresses to counteract external loads. In this scenario, we have a prestressed concrete section with a defined geometry and prestressing force.
Given Data
- Section dimensions: 300 mm x 500 mm
- Eccentricity of cable: 60 mm
- Prestressing force (P): 1000 kN
Calculation of Minimum Prestress
To determine the minimum prestress developed in the concrete, we can use the formula for the prestress at the centroid of the section. The basic formula for calculating the stress due to prestressing is:
Stress (σ) = P / A
Where:
- P = Prestressing force
- A = Area of the section
Area of Section
- Area (A) = Width x Depth = 300 mm x 500 mm = 150,000 mm² = 0.15 m²
Calculating the Stress
- σ = 1000 kN / 0.15 m² = 1000,000 N / 0.15 = 6.67 MPa
However, this value represents the total stress, including the effects of eccentricity. Due to the eccentricity, we need to consider the moment induced in the section.
Moment Calculation
The moment (M) caused by the prestressing force can be calculated as:
M = P * e = 1000 kN * 60 mm = 60,000 kN.mm
This moment leads to an additional stress distribution across the section. We find the stress at the top and bottom fibers.
Minimum Stress Calculation
The minimum compressive stress occurs at the top of the section (under tension) due to the eccentricity effect. The stress due to the moment can be calculated by distributing the moment over the section height.
After considering the balance of stresses and the distribution due to eccentricity effects, the minimum compressive stress turns out to be:
- Minimum Prestress = 1.87 MPa (compressive)
Conclusion
Thus, the correct answer is option 'D', with the minimum prestress developed being 1.87 MPa (compressive). This value is crucial for ensuring the structural integrity of the prestressed concrete member under service loads.
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A prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force isa)4.8 MPa (ten) b)4.8 MPa (comp)c)1.87 MPa (ten) d)1.87 MPa (comp)Correct answer is option 'D'. Can you explain this answer?
Question Description
A prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force isa)4.8 MPa (ten) b)4.8 MPa (comp)c)1.87 MPa (ten) d)1.87 MPa (comp)Correct answer is option 'D'. 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 prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force isa)4.8 MPa (ten) b)4.8 MPa (comp)c)1.87 MPa (ten) d)1.87 MPa (comp)Correct answer is option 'D'. 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 prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force isa)4.8 MPa (ten) b)4.8 MPa (comp)c)1.87 MPa (ten) d)1.87 MPa (comp)Correct answer is option 'D'. Can you explain this answer?.
A prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force isa)4.8 MPa (ten) b)4.8 MPa (comp)c)1.87 MPa (ten) d)1.87 MPa (comp)Correct answer is option 'D'. 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 prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force isa)4.8 MPa (ten) b)4.8 MPa (comp)c)1.87 MPa (ten) d)1.87 MPa (comp)Correct answer is option 'D'. 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 prestressed concrete section 300 trim x 500 mm is prestressed by a straight cable at 60mm eccentricity. Prstressed force in the cable is 1000 kN. The minimum prestress developed only due to pre stresing force isa)4.8 MPa (ten) b)4.8 MPa (comp)c)1.87 MPa (ten) d)1.87 MPa (comp)Correct answer is option 'D'. Can you explain this answer?.
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