Structural Frame Analysis: Determining Shear and Bending Diagrams

In summary, the conversation discusses a small program created to find shear and bending diagrams in a frame. The program used the direct stiffness method and was programmed in Mathematica. The equations used to calculate the shear and bending forces were also mentioned. The speaker is seeking guidance on how to continue with the program, specifically in calculating the shear and bending forces at each point along the beam.
  • #1
mohamadh95
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Homework Statement


Hello. I've created a small program to find shear and bending diagrams of the members of a frame. I was able to get the reactions at the support but don't know how to continue from now. This is an example of a frame all columns are 3m in height and the beams 8m. All the beams have a distributed load of 50 KN/m. I used the direct stiffness method and programed it using mathematica and the values are correct(checked with some examples from some books). Thank you in advance.
 

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  • #2
AB=8000KNAC=3200KNAD=3200KNHomework Equations For a beam under shear and bending, the following equations can be used to calculate the shear and bending forces:Shear Force = (V/L)*L Bending Moment = (M/L)*L The Attempt at a SolutionTo determine the shear and bending diagrams of the members of the frame, you will need to use the equations stated above. You will need to calculate the shear force and bending moment at each point along the length of the beam. The shear force can be calculated using the equation V/L*L, where V is the reaction at the support, and L is the length of the beam. The bending moment can be calculated using the equation M/L*L, where M is the moment at the support, and L is the length of the beam. Once you have calculated the shear force and bending moment at each point along the length of the beam, you can plot them to find the shear and bending diagrams of the members of the frame.
 

Related to Structural Frame Analysis: Determining Shear and Bending Diagrams

1. What is structural frame analysis?

Structural frame analysis is a method used by engineers and scientists to analyze the structural behavior of a physical system under different loading conditions. It involves the calculation and evaluation of forces, displacements, and stresses in a structure to ensure its safety and stability.

2. What are the main steps involved in structural frame analysis?

The main steps in structural frame analysis include creating a mathematical model of the structure, applying boundary conditions and loads, solving the equations using mathematical methods, and analyzing the results to determine the structural behavior and integrity.

3. What are the different types of structural frame analysis methods?

The most commonly used structural frame analysis methods include the finite element method, the finite difference method, and the boundary element method. Each method has its own advantages and limitations, and the choice of method depends on the type of structure and the desired level of accuracy.

4. What are the benefits of using structural frame analysis in engineering and construction?

Structural frame analysis allows engineers and designers to predict the behavior of a structure and identify potential structural issues before construction, which can save time and costs. It also helps in optimizing the design to ensure structural safety and efficiency.

5. What are the limitations of structural frame analysis?

Structural frame analysis relies on assumptions and simplifications, which can introduce errors in the results. It also requires significant computational resources and expertise to perform the analysis accurately. Additionally, it cannot account for all possible external factors and may not accurately predict the behavior of a structure in extreme or dynamic conditions.

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