Strength of materials · beam selection

Size a steel beam profile

Compare suitable verified profiles for a defined beam, load and acceptance criteria.

Created v1.0

By Thibaut Grzelak, Mechanical Analysis Engineer

The comparison uses 15 verified steel profiles with traceable properties.

Strength of materials · beam selection

Inputs

Profile families
Bending axis
Acceptance criteria

Selected profile

IPE 160

Lowest mass passing profile

15 Profiles tested12 Profiles passing

Stress

69.061 %

110.497 MPa / 160 MPa

Deflection

65.742 %

8.766 mm / 13.333 mm

Family
IPE
Mass
15.8 kg/m
Governing criterion
Stress

Beam diagram

F = 12 kNL = 4 mF = 12 kNL = 4 mF = 12 kNL = 4 mF = 12 kNL = 4 m
Simply supported beam — point loadδmax = F L³ / (48 E I)

Profiles close to the selection

IPE 100Stress and deflection limits exceeded

8.1 kg/m

Stress
219.298 %
Deflection
334.169 %
Governing check
334.169 %
View profile
IPE 160Selected profile

15.8 kg/m

Stress
69.061 %
Deflection
65.742 %
Governing check
69.061 %
View profile
IPE 200Pass

22.4 kg/m

Stress
38.6 %
Deflection
29.41 %
Governing check
38.6 %
View profile
Show tested profiles (15)
Profile comparison results
ProfileFamilyMassBending stress / Stress utilizationDeflection / Deflection utilizationGoverning checkStatusActions
IPE 100IPE8.1350.877 MPa219.298 %44.556 mm334.169 %DeflectionStress and deflection limits exceededView profileCheck beam deflectionCheck bending stress
IPE 160IPE15.8110.497 MPa69.061 %8.766 mm65.742 %StressPassView profileCheck beam deflectionCheck bending stress
HEA 100HEA16.7164.948 MPa103.093 %21.819 mm163.639 %DeflectionStress and deflection limits exceededView profileCheck beam deflectionCheck bending stress
HEB 100HEB20.4133.482 MPa83.426 %16.95 mm127.125 %DeflectionDeflection limit exceededView profileCheck beam deflectionCheck bending stress
IPE 200IPE22.461.76 MPa38.6 %3.921 mm29.41 %StressPassView profileCheck beam deflectionCheck bending stress
HEA 160HEA30.454.521 MPa34.075 %4.557 mm34.176 %DeflectionPassView profileCheck beam deflectionCheck bending stress
IPE 240IPE30.737.003 MPa23.127 %1.958 mm14.686 %StressPassView profileCheck beam deflectionCheck bending stress
IPE 300IPE42.221.544 MPa13.465 %0.912 mm6.839 %StressPassView profileCheck beam deflectionCheck bending stress
HEA 200HEA42.330.88 MPa19.3 %2.064 mm15.477 %StressPassView profileCheck beam deflectionCheck bending stress
HEB 160HEB42.638.536 MPa24.085 %3.059 mm22.94 %StressPassView profileCheck beam deflectionCheck bending stress
HEA 220HEA50.523.292 MPa14.557 %1.409 mm10.564 %StressPassView profileCheck beam deflectionCheck bending stress
HEA 240HEA60.317.778 MPa11.111 %0.981 mm7.361 %StressPassView profileCheck beam deflectionCheck bending stress
HEB 200HEB61.321.067 MPa13.167 %1.338 mm10.032 %StressPassView profileCheck beam deflectionCheck bending stress
HEB 220HEB71.516.315 MPa10.197 %0.942 mm7.063 %StressPassView profileCheck beam deflectionCheck bending stress
HEB 240HEB83.212.79 MPa7.994 %0.677 mm5.079 %StressPassView profileCheck beam deflectionCheck bending stress
01

Strength of materials · beam selection

Understand the sizing

Compare suitable verified profiles for a defined beam, load and acceptance criteria. The comparison uses 15 verified steel profiles with traceable properties.

  1. Inputs

    Beam case · Span length · Young’s modulus · Point load/Distributed load · Allowable bending stress · Deflection limit

  2. Profile families

    Bending axis · Acceptance criteria · Bending stress · Deflection

  3. Profile comparison

    Lowest mass passing profile · Governing criterion · Mass · Stress · Deflection

Which profile is selected?

The lightest profile that passes the selected stress and deflection criteria is highlighted.

ISecond moment of area I measures resistance to bending deformation.
WElastic section modulus W relates bending moment to elastic stress.
EYoung’s modulus E describes the material’s linear elastic stiffness.
σadmAllowable stress σadm is the limit used to assess calculated bending stress.
δlimDeflection limit δlim defines the maximum permitted beam displacement.

02

Calculation assumptions and limits

  • The calculation uses linear-elastic beam theory.
  • Loads and support conditions match the selected idealized beam case.
  • The selected profile properties and material modulus are applicable.
  • This pre-sizing tool does not replace a code-based structural verification.

Properties are traceable, but final design remains the responsibility of the qualified engineer.

03 · FAQ

FAQ

Which profile is selected?

The lightest profile that passes the selected stress and deflection criteria is highlighted.

Why can the weak axis govern?

A profile has much less bending stiffness about its weak axis.

Can this result be used for construction?

Use it for preliminary selection, then complete the required design checks.