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Calculate critical buckling load of a pinned-pinned column

Calculate critical buckling load of a pinned-pinned column.

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Quick Answer

The calculate critical buckling load of a pinned-pinned column computes p_cr from the input values you provide.

Calculator

p_cr (kN)
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Result Interpretation

Calculate critical buckling load of a pinned-pinned column computes p_cr in kN using the defined engineering formula and the input values provided. p_cr is expressed in kN. No universal acceptance threshold is defined by this calculator.

Worked Example

default_test

Given:

  • e_mod = 200
  • i_sec = 500
  • l_eff = 3

Expected Result:

  • p_cr = 109662.27112322

Engineering Interpretation:

Under the given input conditions, the calculated result is: p_cr = 109662.27112322 kN.

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

p_cr = 9.86960440108936 * e_mod * i_sec / pow(l_eff, 2)

p_cr.

Variables

SymbolLabelRoleDescription
e_mod e_mod INPUT e_mod
i_sec i_sec INPUT i_sec
l_eff l_eff INPUT l_eff
p_cr p_cr OUTPUT p_cr

Calculation Steps

  1. Enter the e_mod in GPa.
  2. Enter the i_sec in cm^4.
  3. Enter the l_eff in m.
  4. Read the p_cr (kN) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Calculate critical buckling load of a pinned-pinned column estimates p_cr based on the input parameters you provide

Why is e_mod important in this calculation?

e_mod is directly proportional to p_cr. When you enter e_mod in GPa, the calculator uses it in the engineering formula to compute the output

How should I interpret the result p_cr?

The calculator outputs p_cr in kN. 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: e_mod (GPa), i_sec (cm^4), l_eff (m). 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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