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A uniformly distributed load of 2 kN/m covers left half of the span of a three-hinged parabolic arch, span 40 m and central rise 10 m. Which of the following statements relating to different functions at the loaded quarter point are correct?
1. The slope is tan-1 (1/2)
2. The normal thrust is 6√5 kN.
3. The shear force is not zero
4. The bending moment is zero.
1. The slope is tan-1 (1/2)
2. The normal thrust is 6√5 kN.
3. The shear force is not zero
4. The bending moment is zero.
Select the correct answer using the codes' given below:
- a)1,2 and 4
- b)2 and 3
- c)1 and 3
- d)3 and 4
Correct answer is option 'C'. Can you explain this answer?
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A uniformly distributed load of 2 kN/m covers left half of the span of...
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A uniformly distributed load of 2 kN/m covers left half of the span of...
1. The slope at the loaded quarter point can be determined using the equation for the slope of a parabolic arch. The slope at any point on a parabolic arch can be calculated as the derivative of the equation of the arch at that point. The equation for a parabolic arch is y = (1/20)x^2, where y is the rise (height) at a given point x on the arch.
To find the slope at the loaded quarter point (x = 10 m), we can differentiate the equation with respect to x:
dy/dx = (1/20)*2x
dy/dx = (1/10)x
Plugging in x = 10 m:
dy/dx = (1/10)*(10)
dy/dx = 1
Therefore, the slope at the loaded quarter point is 1, not tan-1(1/2).
2. The normal thrust at the loaded quarter point can be determined by calculating the vertical component of the force exerted by the load at that point. Since the load is uniformly distributed at 2 kN/m and covers the left half of the span, the load at the loaded quarter point can be calculated by multiplying the load intensity (2 kN/m) by the length of the loaded quarter span (10 m).
Load at the loaded quarter point = 2 kN/m * 10 m = 20 kN
The normal thrust at the loaded quarter point is equal to the vertical component of the load, which is equal to the load itself since the arch is symmetrical. Therefore, the normal thrust at the loaded quarter point is 20 kN, not 6.
To find the slope at the loaded quarter point (x = 10 m), we can differentiate the equation with respect to x:
dy/dx = (1/20)*2x
dy/dx = (1/10)x
Plugging in x = 10 m:
dy/dx = (1/10)*(10)
dy/dx = 1
Therefore, the slope at the loaded quarter point is 1, not tan-1(1/2).
2. The normal thrust at the loaded quarter point can be determined by calculating the vertical component of the force exerted by the load at that point. Since the load is uniformly distributed at 2 kN/m and covers the left half of the span, the load at the loaded quarter point can be calculated by multiplying the load intensity (2 kN/m) by the length of the loaded quarter span (10 m).
Load at the loaded quarter point = 2 kN/m * 10 m = 20 kN
The normal thrust at the loaded quarter point is equal to the vertical component of the load, which is equal to the load itself since the arch is symmetrical. Therefore, the normal thrust at the loaded quarter point is 20 kN, not 6.
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A uniformly distributed load of 2 kN/m covers left half of the span of a three-hinged parabolic arch, span 40 m and central rise 10 m. Which of the following statements relating to different functions at the loaded quarter point are correct?1.The slope is tan-1 (1/2)2.The normal thrust is 6√5 kN.3.The shear force is not zero4.The bending moment is zero.Select the correct answer using the codes given below:a)1,2 and 4b)2 and 3c)1 and 3d)3 and 4Correct answer is option 'C'. 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 uniformly distributed load of 2 kN/m covers left half of the span of a three-hinged parabolic arch, span 40 m and central rise 10 m. Which of the following statements relating to different functions at the loaded quarter point are correct?1.The slope is tan-1 (1/2)2.The normal thrust is 6√5 kN.3.The shear force is not zero4.The bending moment is zero.Select the correct answer using the codes given below:a)1,2 and 4b)2 and 3c)1 and 3d)3 and 4Correct answer is option 'C'. 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 uniformly distributed load of 2 kN/m covers left half of the span of a three-hinged parabolic arch, span 40 m and central rise 10 m. Which of the following statements relating to different functions at the loaded quarter point are correct?1.The slope is tan-1 (1/2)2.The normal thrust is 6√5 kN.3.The shear force is not zero4.The bending moment is zero.Select the correct answer using the codes given below:a)1,2 and 4b)2 and 3c)1 and 3d)3 and 4Correct answer is option 'C'. Can you explain this answer?.
A uniformly distributed load of 2 kN/m covers left half of the span of a three-hinged parabolic arch, span 40 m and central rise 10 m. Which of the following statements relating to different functions at the loaded quarter point are correct?1.The slope is tan-1 (1/2)2.The normal thrust is 6√5 kN.3.The shear force is not zero4.The bending moment is zero.Select the correct answer using the codes given below:a)1,2 and 4b)2 and 3c)1 and 3d)3 and 4Correct answer is option 'C'. 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 uniformly distributed load of 2 kN/m covers left half of the span of a three-hinged parabolic arch, span 40 m and central rise 10 m. Which of the following statements relating to different functions at the loaded quarter point are correct?1.The slope is tan-1 (1/2)2.The normal thrust is 6√5 kN.3.The shear force is not zero4.The bending moment is zero.Select the correct answer using the codes given below:a)1,2 and 4b)2 and 3c)1 and 3d)3 and 4Correct answer is option 'C'. 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 uniformly distributed load of 2 kN/m covers left half of the span of a three-hinged parabolic arch, span 40 m and central rise 10 m. Which of the following statements relating to different functions at the loaded quarter point are correct?1.The slope is tan-1 (1/2)2.The normal thrust is 6√5 kN.3.The shear force is not zero4.The bending moment is zero.Select the correct answer using the codes given below:a)1,2 and 4b)2 and 3c)1 and 3d)3 and 4Correct answer is option 'C'. Can you explain this answer?.
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