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The number of simultaneous equations required in the slope deflection method is equal to
  • a)
    the degree of static indeterminacy
  • b)
    the degree of kinematic indeterminacy
  • c)
    the number of joints in the structure
  • d)
    none of the above
Correct answer is option 'C'. Can you explain this answer?
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The number of simultaneous equations required in the slope deflection...
Important Points about Slope Deflection Method
The slope deflection equation will give the relationship between bending moment rotation and deflections.
The number of simultaneous equations to be solved in the slope deflection method is equal to the number of joint displacements in the structure.
In the slope deflection equations, the deformations are caused by bending moment only.
In slope deflection method, joint rotations are taken as unknowns.
The slope deflection method of structural analysis is a method of displacement.
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The number of simultaneous equations required in the slope deflection...


Number of simultaneous equations in slope deflection method

In the slope deflection method, the number of simultaneous equations required is equal to the number of joints in the structure.

Explanation:

Static vs. Kinematic Indeterminacy
- Static indeterminacy refers to the number of redundant supports or reactions in a structure.
- Kinematic indeterminacy refers to the number of redundant deformations or rotations in a structure.

Number of Joints
- In the slope deflection method, each joint in the structure represents a degree of freedom.
- The number of joints determines the number of unknown joint rotations which are used to form the simultaneous equations.

Relationship between Simultaneous Equations and Joints
- The equilibrium equations at each joint, combined with the compatibility equations for each member, result in a set of simultaneous equations.
- These equations are used to solve for the unknown member end moments and joint rotations.

Therefore, the correct answer is option C, as the number of simultaneous equations required in the slope deflection method is determined by the number of joints in the structure.
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The number of simultaneous equations required in the slope deflection method is equal toa)the degree of static indeterminacyb)the degree of kinematic indeterminacyc)the number of joints in the structured)none of the aboveCorrect answer is option 'C'. Can you explain this answer?
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