The number of slope deflection equations available for a two span continuous beam:

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  1. 2
  2. 3
  3. 4
  4. Unpredictable

Answer (Detailed Solution Below)

Option 3 : 4
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Detailed Solution

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Explanation:

Let a two-span continuous beam, shown in the figure below:

Slope deflection equations

For span AB:

Where MfAB = Fixed end moment at A for span AB

θA = Slope at A

θB = Slope at B

Δ = Settlement of support.

For span BC:

There will be 4 Nos. of slope deflection equations, for a two-span continuous beam.

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