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Calculate maximum deflection of simply supported beam with midspan point load

Calculate maximum deflection of simply supported beam with midspan point load.

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Quick Answer

The calculate maximum deflection of simply supported beam with midspan point load computes delta_max from the input values you provide.

Calculator

delta_max (mm)
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Result Interpretation

Calculate maximum deflection of simply supported beam with midspan point load computes delta_max in mm using the defined engineering formula and the input values provided. delta_max is expressed in mm. No universal acceptance threshold is defined by this calculator.

Worked Example

default_test

Given:

  • e_mod = 200
  • f_load = 50
  • l_span = 6
  • i_moment = 500

Expected Result:

  • delta_max = 0.00225

Engineering Interpretation:

Under the given input conditions, the calculated result is: delta_max = 0.00225 mm.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

delta_max = f_load * pow(l_span, 3) / (48 * e_mod * i_moment)

delta_max.

Variables

SymbolLabelRoleDescription
f_load f_load INPUT f_load
l_span l_span INPUT l_span
e_mod e_mod INPUT e_mod
i_moment i_moment INPUT i_moment
delta_max delta_max OUTPUT delta_max

Calculation Steps

  1. Enter the f_load in kN.
  2. Enter the l_span in m.
  3. Enter the e_mod in GPa.
  4. Enter the i_moment in cm^4.
  5. Read the delta_max (mm) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Calculate maximum deflection of simply supported beam with midspan point load estimates delta_max based on the input parameters you provide

Why is f_load important in this calculation?

f_load is directly proportional to delta_max. When you enter f_load in kN, the calculator uses it in the engineering formula to compute the output

How should I interpret the result delta_max?

The calculator outputs delta_max in mm. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: f_load (kN), l_span (m), e_mod (GPa), i_moment (cm^4). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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