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Which of the following is CORRECT for indeterminate beam condition?
  • a)
    Number of unknown components should be equal to the number of equilibrium equations
  • b)
    Number of unknown components should be less than the number of equilibrium equations
  • c)
    Number of unknown components should be greater than the number of equilibrium equations
  • d)
    Number of unknown components should be zero
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following is CORRECT for indeterminate beam condition?a)N...
A beam is said to be in static equilibrium when the beam is initially at rest and remains at rest when subjected to a system of forces and couples.
Generally, there are 3 equilibrium equations for a planer structure.
The conditions of zero resultant force and zero resultant couple can be expressed as:

where Fx represents forces along the horizontal or x-axis, Fy represents forces along the vertical or y-axis, and Mz represents the sum of moments taken around any point on the beam.
Degree of indeterminacy = Total number of unknown forces - Total number of equilibrium equations

Eg. Statically indeterminate structure

Here, the total number of unknown forces = 7
total number of equilibrium equations = 3
So, the degree of indeterminacy = 7 - 3 = 4, which is greater than zero so it is a statically indeterminate structure.
Eg. Statically determinate structure

Here, the total number of unknown forces = 3
Total number of equilibrium equations = 3
So, the degree of indeterminacy = 3 - 3 = 0, so it is a statically determinate structure.
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Which of the following is CORRECT for indeterminate beam condition?a)Number of unknown components should be equal to the number of equilibrium equationsb)Number of unknown components should be less than the number of equilibrium equationsc)Number of unknown components should be greater than the number of equilibrium equationsd)Number of unknown components should be zeroCorrect answer is option 'C'. Can you explain this answer?
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Which of the following is CORRECT for indeterminate beam condition?a)Number of unknown components should be equal to the number of equilibrium equationsb)Number of unknown components should be less than the number of equilibrium equationsc)Number of unknown components should be greater than the number of equilibrium equationsd)Number of unknown components should be zeroCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following is CORRECT for indeterminate beam condition?a)Number of unknown components should be equal to the number of equilibrium equationsb)Number of unknown components should be less than the number of equilibrium equationsc)Number of unknown components should be greater than the number of equilibrium equationsd)Number of unknown components should be zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is CORRECT for indeterminate beam condition?a)Number of unknown components should be equal to the number of equilibrium equationsb)Number of unknown components should be less than the number of equilibrium equationsc)Number of unknown components should be greater than the number of equilibrium equationsd)Number of unknown components should be zeroCorrect answer is option 'C'. Can you explain this answer?.
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