BIM Engineering

AISC LRFD Flexural Moment Capacity for Steel I-Beam (Lateral-Torsional Buckling Controlled) calculator

AISC LRFD Flexural Moment Capacity for Steel I-Beam (Lateral-Torsional Buckling Controlled) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate AISC LRFD Flexural Moment Capacity for Steel I-Beam (Lateral-Torsional Buckling Controlled)

Calculator

Design Flexural Moment Capacity (N·m)
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Result Interpretation

AISC LRFD Flexural Moment Capacity for Steel I-Beam (Lateral-Torsional Buckling Controlled) calculator computes Design Flexural Moment Capacity in N*m using the defined engineering formula and the input values provided. Design Flexural Moment Capacity is expressed in N*m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Plastic Moment = 500000
  • Inelastic Lateral-Torsional Buckling Moment = 320000
  • Unbraced Length = 4.2
  • Plastic Limit Unbraced Length = 1.8
  • Inelastic LTB Limit Unbraced Length = 6.5
  • Moment Gradient Factor = 1.14
  • LRFD Resistance Factor for Flexure = 0.9

Expected Result:

  • Design Flexural Moment Capacity = 418695.31914894

Engineering Interpretation:

Under the given input conditions, the calculated result is: Design Flexural Moment Capacity = 418695.31914894 N*m.

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

design flexural moment capacity = lrfd resistance factor for flexure * (moment gradient factor * (plastic moment - (plastic moment - inelastic lateral-torsional buckling moment) * ((unbraced length - plastic limit unbraced length) / (inelastic ltb limit unbraced length - plastic limit unbraced length))))

Formula family: formula_bim_bim_structural_beam_moment_capacity_checker_aisc_lrfd

Variables

SymbolLabelRoleDescription
M_p Plastic Moment INPUT Plastic Moment
M_r Inelastic Lateral-Torsional Buckling Moment INPUT Inelastic Lateral-Torsional Buckling Moment
L_b Unbraced Length INPUT Unbraced Length
L_p Plastic Limit Unbraced Length INPUT Plastic Limit Unbraced Length
L_r Inelastic LTB Limit Unbraced Length INPUT Inelastic LTB Limit Unbraced Length
C_b Moment Gradient Factor INPUT Moment Gradient Factor
phi_b LRFD Resistance Factor for Flexure INPUT LRFD Resistance Factor for Flexure
result Design Flexural Moment Capacity OUTPUT Design Flexural Moment Capacity

Calculation Steps

  1. Enter the plastic moment in N*m.
  2. Enter the inelastic lateral-torsional buckling moment in N*m.
  3. Enter the unbraced length in m.
  4. Enter the plastic limit unbraced length in m.
  5. Enter the inelastic ltb limit unbraced length in m.
  6. Enter the moment gradient factor in dimensionless.
  7. Enter the lrfd resistance factor for flexure in dimensionless.
  8. Step 1: Compute design flexural moment capacity.
  9. Read the design flexural moment capacity (N*m) from the results.

Engineering Summary

Calculate AISC LRFD Flexural Moment Capacity for Steel I-Beam (Lateral-Torsional Buckling Controlled)

Frequently Asked Questions

What does this calculator calculate?

The AISC LRFD Flexural Moment Capacity for Steel I-Beam (Lateral-Torsional Buckling Controlled) calculator estimates Design Flexural Moment Capacity based on the input parameters you provide

Why is plastic moment important in this calculation?

plastic moment is used directly in the calculation of design flexural moment capacity. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter plastic moment in N*m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result design flexural moment capacity?

The calculator outputs design flexural moment capacity in N*m. 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: Plastic Moment (N*m), Inelastic Lateral-Torsional Buckling Moment (N*m), Unbraced Length (m), Plastic Limit Unbraced Length (m), Inelastic LTB Limit Unbraced Length (m), Moment Gradient Factor (dimensionless), LRFD Resistance Factor for Flexure (dimensionless). 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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