Maximum deflection using macauley methods

Thread starter matthew1982
Start date Nov 13, 2014
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Deflection Maximum

In summary, the Macauley method is a mathematical technique used to determine maximum deflection of a beam or structure. It differs from other methods by considering changing slope due to varying loads and makes several assumptions including linear elastic deformation, constant material properties, and static loads. It can be used for beams with varying cross-sectional properties, but may require more complex calculations. One limitation is that it only applies to linear elastic materials and may become more complex for beams with multiple loads and supports.

Nov 13, 2014

matthew1982

Hi
I was wondering someone can show me how to calculate the maximum deflection using macauley methods, I have answered all the other questions really stuck now, Can you please show the working outs aswell. The document is on office 2010 format.

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Nov 13, 2014

billy_joule

Science Advisor

Post in the homework forum and follow the homework template. You are much more likely to get help.

Related to Maximum deflection using macauley methods

1. What is the Macauley method for determining maximum deflection?

The Macauley method is a mathematical technique used to determine the maximum deflection of a beam or structure under a specific load. It involves dividing the beam into segments and calculating the deflection at each segment based on the applied load and boundary conditions.

2. How is the Macauley method different from other methods of calculating maximum deflection?

The Macauley method takes into account the changing slope of the beam due to varying loads, whereas other methods such as the double-integration method assume a constant slope throughout the beam. This makes the Macauley method more accurate for complex load distributions.

3. What are the key assumptions made in the Macauley method?

The Macauley method assumes that the beam is in a state of linear elastic deformation, the material properties are constant throughout the beam, and the beam is subjected to static loads. It also assumes that the beam is supported by rigid supports at its endpoints.

4. Can the Macauley method be used for beams with varying cross-sectional properties?

Yes, the Macauley method can be used for beams with varying cross-sectional properties. However, the calculations become more complex and may require numerical methods such as the Simpson's rule for integration of non-uniform functions.

5. Are there any limitations or drawbacks to using the Macauley method?

One limitation of the Macauley method is that it only applies to linear elastic materials and cannot be used for beams with plastic deformation. It also assumes that the beam is in a state of plane stress, which may not be applicable in all cases. Additionally, the method may become more complex and time-consuming for beams with multiple loads and supports.