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The number of simultaneous equations to be solved in the slope deflection method, is equal to :
- a)the degree of statical 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 to be solved in the slope deflect...
The no of simultaneous equations to be solved in the slope deflection method is equal to no of joint displacements. It can also be kinematic indeterminacy neglecting axial deformations (IN some of the cases)
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The number of simultaneous equations to be solved in the slope deflect...
Explanation:
The slope deflection method is a structural analysis method used to determine the displacements, rotations, and forces in a structure. In this method, the structure is analyzed by considering each member as an individual beam and applying the principles of equilibrium and compatibility.
The number of simultaneous equations required to solve the slope deflection method depends on the number of joints in the structure. Each joint in the structure represents a point of statical indeterminacy, where the unknown forces and moments must be determined.
Therefore, the correct answer to the question is option 'C', i.e., the number of simultaneous equations to be solved in the slope deflection method is equal to the number of joints in the structure.
Importance of Joint in Slope Deflection Method:
In the slope deflection method, the joints are the points where the members of the structure meet. At each joint, the unknown forces and moments must be determined. These unknowns can be calculated by applying the principles of equilibrium and compatibility.
The number of joints in a structure determines the number of unknowns that must be solved. Therefore, the number of simultaneous equations required to solve the slope deflection method is equal to the number of joints in the structure.
Conclusion:
In conclusion, the number of simultaneous equations required to solve the slope deflection method depends on the number of joints in the structure. The joint is an important element in this method as it represents the point of statical indeterminacy where the unknown forces and moments must be determined.
The slope deflection method is a structural analysis method used to determine the displacements, rotations, and forces in a structure. In this method, the structure is analyzed by considering each member as an individual beam and applying the principles of equilibrium and compatibility.
The number of simultaneous equations required to solve the slope deflection method depends on the number of joints in the structure. Each joint in the structure represents a point of statical indeterminacy, where the unknown forces and moments must be determined.
Therefore, the correct answer to the question is option 'C', i.e., the number of simultaneous equations to be solved in the slope deflection method is equal to the number of joints in the structure.
Importance of Joint in Slope Deflection Method:
In the slope deflection method, the joints are the points where the members of the structure meet. At each joint, the unknown forces and moments must be determined. These unknowns can be calculated by applying the principles of equilibrium and compatibility.
The number of joints in a structure determines the number of unknowns that must be solved. Therefore, the number of simultaneous equations required to solve the slope deflection method is equal to the number of joints in the structure.
Conclusion:
In conclusion, the number of simultaneous equations required to solve the slope deflection method depends on the number of joints in the structure. The joint is an important element in this method as it represents the point of statical indeterminacy where the unknown forces and moments must be determined.
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The number of simultaneous equations to be solved in the slope deflection method, is equal to :a)the degree of statical 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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