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Evo Design - structural
engineering
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Calculation
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001-WOOD BEAM
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CALCULATION SHEET
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Project No.
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onlinestructuraldesign.com
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SAMPLE CALCULATION
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Project
Title:
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Wood beam -interactive design spreadsheet
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Calc. By
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Date
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Rev.
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MN
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16.04.2014
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0
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Subject
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Wood Element Bending Capacity (EC5)
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Checked By
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Date
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CN
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16.04.2014
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Input
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Output
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Element section and dimensions
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Element verification
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Material
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Loads
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Wood Element
Bending Moment Capacity Calculation
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per EN
1995-1-1:2004* & EN 338*
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Maximum working
loads (Ultimate Limit State)
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My,Ed=
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kN*m
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bending moment y-y
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Mz,Ed=
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kN*m
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bending moment z-z
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Element dimensions
- Rectangular cross section
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h =
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20
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cm
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height
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d =
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10
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cm
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width
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(parameters that can not be modified in the demo
version)
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Section Properties
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A =
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d*h =
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cm2
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section area
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IY =
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d*h3/12 =
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cm4
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moment of inertia about y-y axis
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Iz =
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d3*h/12 =
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cm4
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moment of inertia about z-z axis
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Material
characteristics
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per EN 338-97 - Table 1
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Wood strength
class:
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fm,k =
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N/mm2
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Characteristic
bending strength
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gm =
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per EN 1995-1-1 - Table 2.3
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1.3 for
solid timber, 1.25 for glued laminated timber
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kh =
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min( (150/h)0.2 ; 1.3) =
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per EN
1995-1-1 - Section 3.2 (3), formula (3.1)
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for timber
with density less than 700 kg/m3 and
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h < 150mm
the characteristic valus of fm,k andÂ
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ft,0,k may be increased
by the factor kh
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kmod =
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per EN 1995-1-1 - Table 3.1
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Load duration
classes per EN 1995-1-1
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Section 2.3.1.2 - Table 2.1 and 2.2
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Service classes per EN 1995-1-1 - Section 2.3.1.3
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fm.y.d =
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fm.y.d =
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kmod *kh * fm,k
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/ gm =
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N/mm2
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design
bending strength about y and z axis
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per EN
1995-1-1 - Section 2.4.1, formula (2.14)
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sm.y.d =
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My,Ed * (h/2) / Iy =
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N/mm2
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Design
bending stress about the principal y axis
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sm.z.d =
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Mz,Ed * (d/2) / Iz =
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N/mm2
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Design
bending stress about the principal z axis
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km =
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0.7
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for rectangular sections
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per EN
1995-1-1 - Section 6.1.6 (2)
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Check
on for y-y axis
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( sm.y.d / fm.y.d ) + km * ( sm.z.d / fm.z.d ) =
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per EN
1995-1-1 - Section 6.1.6, formula (6.11)
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Check
on for z-z axis
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km * ( sm.y.d / fm.y.d ) + ( sm.z.d / fm.z.d ) =
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per EN
1995-1-1 - Section 6.1.6, formula (6.12)
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References:
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EN 1995-1-1:2004 - Eurocode 5: Design of timber structures -
Part 1-1: Common rules and rules for buildings
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EN 338 : 2003 - Structural Timber; Strength Classes
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