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In a 3 hinged arch
1. Influence line for horizontal thrust is parabolic.
2. Maximum horizontal thrust occurs when the unit load is at crown.
3. Maximum sagging moment occurs when the unit load is at section itself.
1. Influence line for horizontal thrust is parabolic.
2. Maximum horizontal thrust occurs when the unit load is at crown.
3. Maximum sagging moment occurs when the unit load is at section itself.
Which of these statements is correct?
- a)1 and 2
- b)1 and 3
- c)2 and 3
- d)1, 2 and 3
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In a 3 hinged arch1. Influence line for horizontal thrust is parabolic...
Explanation:
A 3 hinged arch is a structure that has three hinged connections at the base and at the crown. The structure is designed to carry loads and forces through compression, tension, and bending. When a unit load moves along the span of the arch, it creates different reactions and stresses in the structure.
1. Influence line for horizontal thrust is parabolic.
The influence line for horizontal thrust is the graphical representation of the variation of horizontal thrust in the structure when a unit load moves along the span. In a 3 hinged arch, the influence line for horizontal thrust is a parabolic curve. This means that the maximum horizontal thrust occurs at the quarter span points, and the minimum horizontal thrust occurs at the supports.
2. Maximum horizontal thrust occurs when the unit load is at crown.
When a unit load moves along the span of the arch, it creates different reactions and stresses in the structure. In a 3 hinged arch, the maximum horizontal thrust occurs when the unit load is at the crown. This is because the crown is the point of maximum curvature, and the horizontal thrust is proportional to the curvature of the arch.
3. Maximum sagging moment occurs when the unit load is at section itself.
When a unit load moves along the span of the arch, it creates different reactions and stresses in the structure. In a 3 hinged arch, the maximum sagging moment occurs when the unit load is at the section itself. This is because the section itself is the point of maximum bending moment, and the bending moment is proportional to the load and the distance from the neutral axis.
Conclusion:
From the above explanation, we can conclude that option 'C' is the correct answer, as both statements 2 and 3 are true for a 3 hinged arch.
A 3 hinged arch is a structure that has three hinged connections at the base and at the crown. The structure is designed to carry loads and forces through compression, tension, and bending. When a unit load moves along the span of the arch, it creates different reactions and stresses in the structure.
1. Influence line for horizontal thrust is parabolic.
The influence line for horizontal thrust is the graphical representation of the variation of horizontal thrust in the structure when a unit load moves along the span. In a 3 hinged arch, the influence line for horizontal thrust is a parabolic curve. This means that the maximum horizontal thrust occurs at the quarter span points, and the minimum horizontal thrust occurs at the supports.
2. Maximum horizontal thrust occurs when the unit load is at crown.
When a unit load moves along the span of the arch, it creates different reactions and stresses in the structure. In a 3 hinged arch, the maximum horizontal thrust occurs when the unit load is at the crown. This is because the crown is the point of maximum curvature, and the horizontal thrust is proportional to the curvature of the arch.
3. Maximum sagging moment occurs when the unit load is at section itself.
When a unit load moves along the span of the arch, it creates different reactions and stresses in the structure. In a 3 hinged arch, the maximum sagging moment occurs when the unit load is at the section itself. This is because the section itself is the point of maximum bending moment, and the bending moment is proportional to the load and the distance from the neutral axis.
Conclusion:
From the above explanation, we can conclude that option 'C' is the correct answer, as both statements 2 and 3 are true for a 3 hinged arch.
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In a 3 hinged arch1. Influence line for horizontal thrust is parabolic.2. Maximum horizontal thrust occurs when the unit load is at crown.3. Maximum sagging moment occurs when the unit load is at section itself.Which of these statements is correct?a)1 and 2b)1 and 3c)2 and 3d)1, 2 and 3Correct answer is option 'C'. Can you explain this answer?
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