Challenge: Beam Reaction Forces
Calculating support reactions is a common requirement in structural analysis. Automating this process with Python can save significant time. You will now apply your understanding of static equilibrium and moments to compute the vertical reaction forces at the supports of a simply supported beam loaded with several point forces. This exercise will reinforce the principles of equilibrium and introduce you to structuring such calculations programmatically.
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Implement a function that computes the vertical reaction forces at two supports for a simply supported beam, given a list of point loads (position, magnitude) and support locations.
- The function must take the total beam length, a tuple of support positions, and a list of point loads as its arguments.
- Each point load must be represented as a tuple of its position along the beam and its magnitude.
- The function must calculate the reaction force at each support using static equilibrium (sum of forces and sum of moments equals zero).
- The function must return the two reaction forces as a tuple in the order corresponding to the support positions.
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Calculating support reactions is a common requirement in structural analysis. Automating this process with Python can save significant time. You will now apply your understanding of static equilibrium and moments to compute the vertical reaction forces at the supports of a simply supported beam loaded with several point forces. This exercise will reinforce the principles of equilibrium and introduce you to structuring such calculations programmatically.
Swipe to start coding
Implement a function that computes the vertical reaction forces at two supports for a simply supported beam, given a list of point loads (position, magnitude) and support locations.
- The function must take the total beam length, a tuple of support positions, and a list of point loads as its arguments.
- Each point load must be represented as a tuple of its position along the beam and its magnitude.
- The function must calculate the reaction force at each support using static equilibrium (sum of forces and sum of moments equals zero).
- The function must return the two reaction forces as a tuple in the order corresponding to the support positions.
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