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Q: Which of the following theorems states that if a beam has 'n' supports, the end being fixed, than the same number of equations required to determine the support moments may be obtained from the consecutive pairs of spans?
  • A. Clapeyron's theorem
  • B. Mohr's theorem
  • C. Moment area theorem
  • D. Strain energy theorem
Correct Answer: Option A - Clayeyron's theorem states that if a beam has 'n' supports, the end being fixed, then the same number of equations required to determine the support moment may be obtained from the consecutive pairs of span. Theorem of three moment equation is a relationship that exists between the bending moment at three adjacent support in a continuous member. It is particularly helpful in determining the bending moment at the support of statically indeterminate beams.
A. Clayeyron's theorem states that if a beam has 'n' supports, the end being fixed, then the same number of equations required to determine the support moment may be obtained from the consecutive pairs of span. Theorem of three moment equation is a relationship that exists between the bending moment at three adjacent support in a continuous member. It is particularly helpful in determining the bending moment at the support of statically indeterminate beams.

Explanations:

Clayeyron's theorem states that if a beam has 'n' supports, the end being fixed, then the same number of equations required to determine the support moment may be obtained from the consecutive pairs of span. Theorem of three moment equation is a relationship that exists between the bending moment at three adjacent support in a continuous member. It is particularly helpful in determining the bending moment at the support of statically indeterminate beams.