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The ordinates of influence line diagram for bending moment always have the dimension of
- a)force
- b)length
- c)force x length
- d)force/length
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The ordinates of influence line diagram for bending moment always have...
Introduction:
The influence line diagram for bending moment is a graphical representation that shows the variation of bending moment at a particular section of a structure due to the application of a unit load at different positions along the structure. It is a powerful tool used in structural analysis to determine the maximum and minimum bending moments and their locations.
Explanation:
The ordinates of the influence line diagram for bending moment represent the magnitude of the bending moment at a specific location on the structure. These ordinates are measured along the vertical axis of the influence line diagram.
Dimension of the Ordinates:
The dimension of the ordinates of the influence line diagram for bending moment is the same as the dimension of the bending moment itself. Bending moment is expressed in units of force multiplied by length, commonly known as moment units (kNm, lb-ft, etc.).
Reasoning:
The bending moment at a section of a structure is the product of the force applied and the perpendicular distance from the section to the line of action of the force. This perpendicular distance is a length measurement.
Conclusion:
Therefore, the ordinates of the influence line diagram for bending moment have the dimension of length. This is because the bending moment itself is a force multiplied by length, and the ordinates represent the magnitude of the bending moment at specific locations on the structure.
The influence line diagram for bending moment is a graphical representation that shows the variation of bending moment at a particular section of a structure due to the application of a unit load at different positions along the structure. It is a powerful tool used in structural analysis to determine the maximum and minimum bending moments and their locations.
Explanation:
The ordinates of the influence line diagram for bending moment represent the magnitude of the bending moment at a specific location on the structure. These ordinates are measured along the vertical axis of the influence line diagram.
Dimension of the Ordinates:
The dimension of the ordinates of the influence line diagram for bending moment is the same as the dimension of the bending moment itself. Bending moment is expressed in units of force multiplied by length, commonly known as moment units (kNm, lb-ft, etc.).
Reasoning:
The bending moment at a section of a structure is the product of the force applied and the perpendicular distance from the section to the line of action of the force. This perpendicular distance is a length measurement.
Conclusion:
Therefore, the ordinates of the influence line diagram for bending moment have the dimension of length. This is because the bending moment itself is a force multiplied by length, and the ordinates represent the magnitude of the bending moment at specific locations on the structure.
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The ordinates of influence line diagram for bending moment always have the dimension ofa)force b)lengthc)force x length d)force/lengthCorrect answer is option 'B'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The ordinates of influence line diagram for bending moment always have the dimension ofa)force b)lengthc)force x length d)force/lengthCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ordinates of influence line diagram for bending moment always have the dimension ofa)force b)lengthc)force x length d)force/lengthCorrect answer is option 'B'. Can you explain this answer?.
The ordinates of influence line diagram for bending moment always have the dimension ofa)force b)lengthc)force x length d)force/lengthCorrect answer is option 'B'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The ordinates of influence line diagram for bending moment always have the dimension ofa)force b)lengthc)force x length d)force/lengthCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ordinates of influence line diagram for bending moment always have the dimension ofa)force b)lengthc)force x length d)force/lengthCorrect answer is option 'B'. Can you explain this answer?.
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