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The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional to
- a)R
- b)R2
- c)1/R
- d)1/R2
Correct answer is option 'D'. Can you explain this answer?
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The horizontal thrust due to rise in temperature in a semicircular two...
Explanation:
The horizontal thrust in a semicircular two hinged arch is caused by the rise in temperature. When the temperature increases, the arch expands and exerts a horizontal force on the supports.
The thrust generated due to the rise in temperature can be analyzed by considering the equilibrium conditions of the arch.
1. Equilibrium conditions:
In order for the arch to be in equilibrium, the sum of the forces and moments acting on it must be zero.
- Forces: The horizontal thrust generated due to the rise in temperature is counterbalanced by the horizontal reaction forces at the supports.
- Moments: The moments generated by the thrust force and the reaction forces at the supports must also balance each other out.
2. Relationship between thrust and radius:
The thrust generated due to the rise in temperature is proportional to the change in length of the arch. The change in length is directly proportional to the radius of the arch.
- When the temperature increases, the arch expands and its length increases.
- The magnitude of the thrust force is directly proportional to the change in length.
- Since the change in length is directly proportional to the radius, the thrust force is also directly proportional to the radius.
Therefore, the correct answer is option 'D' - the horizontal thrust due to the rise in temperature in a semicircular two hinged arch is proportional to 1/R^2.
The horizontal thrust in a semicircular two hinged arch is caused by the rise in temperature. When the temperature increases, the arch expands and exerts a horizontal force on the supports.
The thrust generated due to the rise in temperature can be analyzed by considering the equilibrium conditions of the arch.
1. Equilibrium conditions:
In order for the arch to be in equilibrium, the sum of the forces and moments acting on it must be zero.
- Forces: The horizontal thrust generated due to the rise in temperature is counterbalanced by the horizontal reaction forces at the supports.
- Moments: The moments generated by the thrust force and the reaction forces at the supports must also balance each other out.
2. Relationship between thrust and radius:
The thrust generated due to the rise in temperature is proportional to the change in length of the arch. The change in length is directly proportional to the radius of the arch.
- When the temperature increases, the arch expands and its length increases.
- The magnitude of the thrust force is directly proportional to the change in length.
- Since the change in length is directly proportional to the radius, the thrust force is also directly proportional to the radius.
Therefore, the correct answer is option 'D' - the horizontal thrust due to the rise in temperature in a semicircular two hinged arch is proportional to 1/R^2.
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The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional toa)Rb)R2c)1/Rd)1/R2Correct answer is option 'D'. Can you explain this answer?
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The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional toa)Rb)R2c)1/Rd)1/R2Correct answer is option 'D'. 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 The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional toa)Rb)R2c)1/Rd)1/R2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional toa)Rb)R2c)1/Rd)1/R2Correct answer is option 'D'. Can you explain this answer?.
The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional toa)Rb)R2c)1/Rd)1/R2Correct answer is option 'D'. 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 The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional toa)Rb)R2c)1/Rd)1/R2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The horizontal thrust due to rise in temperature in a semicircular two hinged arch of radius R is proportional toa)Rb)R2c)1/Rd)1/R2Correct answer is option 'D'. Can you explain this answer?.
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