Hardy Cross method correction problem

In summary, the Hardy Cross method is a mathematical technique used in civil engineering to solve indeterminate structures. It involves iterative adjustments to initial assumptions in order to achieve equilibrium at each node. This method is important in civil engineering as it provides a systematic approach to solving complex structures, but it has limitations such as only being suitable for static analysis and linearly elastic structures. It differs from other structural analysis methods in that it relies on satisfying equilibrium equations at each node and does not require the use of slope-deflection equations. However, it may take longer to converge compared to other methods.
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Homework Statement


I have problem with the flow rate (Q) in junction that join 2 loops together , where k = 4 ,

Why in the second correction , the corrected Q in first and second loop = 21 clcockwise for left loop , and for 21 anticlockiwise for right loop ?

Homework Equations

The Attempt at a Solution


IMO, it should be 10+2 = 12 for the left loop , and for the right loop , it should be -10-9= -19 , am I right ?[/B]
 

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1. What is the Hardy Cross method?

The Hardy Cross method is a mathematical technique used to solve indeterminate structures in civil engineering, particularly in the analysis of truss and frame structures. It allows for the calculation of unknown forces and displacements in a structural system by satisfying equilibrium equations at each node.

2. What is the correction problem in the Hardy Cross method?

The correction problem in the Hardy Cross method refers to the need for iterative adjustments to be made to the initial assumptions of the unknown forces and displacements in a structural system in order to achieve equilibrium at each node. This process is repeated until convergence is reached and the unknown values are accurately determined.

3. Why is the Hardy Cross method important in civil engineering?

The Hardy Cross method is important in civil engineering because it provides a systematic approach to solving complex structures that cannot be solved using traditional methods. It allows for more accurate and efficient analysis of structures, leading to better design and construction of buildings, bridges, and other structures.

4. What are some limitations of the Hardy Cross method?

One limitation of the Hardy Cross method is that it can only be used for static analysis of structures, as it does not take into account dynamic effects such as wind and earthquakes. Additionally, it can only be applied to linearly elastic structures and may not be accurate for highly indeterminate systems.

5. How is the Hardy Cross method different from other structural analysis methods?

The Hardy Cross method differs from other structural analysis methods in that it is an iterative technique that relies on satisfying equilibrium equations at each node, rather than solving a system of equations. It also does not require the use of slope-deflection equations, making it easier to apply to complex structures. However, it may take longer to converge compared to other methods.

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