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Steel Beam Bending Moment Check (Eurocode 3)

Calculate your steel beam's design resistance to bending moments with our EN 1993-1-1 compliant tool.

Input values

kNm
kNm

Default values

Selected beam cross-section highlighting bending.

Results

Cross-section class

Required class (y-y):

-

Applied class (y-y):

-

Required class (z-z):

-

Applied class (z-z):

-

Section moduli

Plastic (Wpl,y):

- x103 mm3

Elastic (Wel,y):

- x103 mm3

Applied (Wapp,y):

- x103 mm3

Plastic (Wpl,z):

- x103 mm3

Elastic (Wel,z):

- x103 mm3

Applied (Wapp,z):

- x103 mm3

Design resistance

Bending resistance (Mc,Rd,y):

- kNm

Bending resistance (Mc,Rd,z):

- kNm

Design check

Bending check (double bending):

-

Parameters explained

Parameter nameSymbolUnitInfo text
Design bending momentMy,Ed,
Mz,Ed		kNmDesign values of the applied bending moments about the y-y and z-z axes.
Reduction areaAredmm²The area to be deducted from the gross cross-sectional area to account for fastener holes, particularly in the tension zone. This affects the effective section modulus. In this tool it is only checked wether this will be critical.
k factork-Factor for the smoothness of the bolt holes.
Partial safety factorγM0-Partial safety factor for resistance of cross-sections to yielding.
Partial safety factorγM2-Partial safety factor for resistance of cross-sections in tension to fracture (relevant for bolt hole check).
Cross-section Class--Classification of the cross-section (Class 1, 2, 3, or 4).
Plastic section modulusWpl,y,
Wpl,z		x103 mm3Plastic section modulus about the y-y and z-z axis (for Class 1 & 2) in mm3, scaled by 103.
Elastic section modulusWel,y,
Wel,z		x103 mm3Elastic section modulus about the y-y and z-z axis (for Class 3) in mm3, scaled by 103.
Applied section modulusWapp,y,
Wapp,z		x103 mm3Applied section modulus about the y-y and z-z axis (equal to Weff if a class 4 section. ) in mm3, scaled by 103.
Design bending resistanceMc,Rd,y,
Mc,Rd,z		kNmDesign bending moment resistance about the y-y and z-z axis in kNm.
Tension flange net areaAf,netmm2Net area of the tension flange considering bolt holes in mm².
Tension flange gross areaAf,grossmm2Gross area of the tension flange in mm².
Bending checkUtilization ratio for the beam in bending.
Bolt hole check (tension flange)Check if yielding governs over fracture in the tension flange due to bolt holes. Ratio of gross section yield capacity to net section fracture capacity. Value <= 1.0 means holes can be ignored for cross-section bending resistance. Otherwise the section modulus needs to be reduced. This tool does not take this into account.

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