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CalcTree
This calculator allows the user to assess the structural integrity of timber columns to ensure compliance with the Australian Standard AS 1720.1:2010. The calculation will identify the design capacities of timber columns to meet flexural, shear and deflection design requirements to Ultimate Limit State (ULS) and Serviceability Limit State (SLS) methods.
❗This calculation has been written in accordance with AS 1720.

Calculation

Inputs

Material Properties



Seasoned or unseasoned
:Seasoned



Type of timber material
:GLT



Application of structural member
:Category 2



Characteristic Values



f'b
:45MPa



f'c
:45MPa



f't
:32MPa



f'tp
:0.5MPa



f'l
:17MPa



f'p
:5.5MPa



f'sj
:2.8MPa



Loads

Table for finding the character of imposed action



Character of imposed live action
:Floors - Residential and Domestic



G
:10kN



Q
:10kN



Wu, kN/m
:0kN



Section and Member Geometry



B
:300mm



D
:300mm



L
:2000mm


Image



Lax
:0mm



Lay
:0mm


End restraint key value

The end restraint has an impact on the slenderness and buckling of the timber column. Better restraints at the supports and along the height of the column provide better resistance against buckling.
Use the list below to select the best value for your calculation:
1 → Flat ends
2 → Restrained at both ends in position and direction
3 → Each end held by two bolts (substantially restrained)
4 → One end fixed in position and direction, the other restrained in position only
5 → Studs in light framing
6 → Restrained at both ends in position only
7 → Restrained at one end in position and direction and the other end partially restrained in direction but not in position
8 → Restrained at one end in position and direction, but unrestrained in position or direction at the other end



Output

Section Properties



Strength group
:S6



Joint group
:J4



Design density
:800kg/m3



Ag
:90000mm2



Z
:4.50e+6mm3



Ixx
:6.75e+8mm4



Design Capacities

Reduction factor ϕ can be found in AS1720. Table 2.1 and 2.2.


ϕ =
:0.85


Design Axial Compressive Capacity


Nd,c
:1962.2kN


Formula


Design Moment Capacity


Md
:98.111kN m



Modification Factor details

Load Duration Factor, k1


Ψs
:0.7



Ψl
:0.4



Ψc
:0.4



1.35G
:13.5



1.2G + 1.5Q
:27



1.2G + 1.5ΨcQ
:18.5



1.2G + Wu + ΨcQ
:16



0.9G + Wu
:9



Most critical case
:27.0



k1
:0.57


Temperature Factor, k6
k6 = 1.0 except for seasoned timber structures erected in coastal regions of Queensland north of latitude 25 degrees south, and all other regions of Australia north of latitude 16 degrees south. In these locations, k6 = 0.9.


k6
:1


Stability Factor, k12
Buckling about X-axis

S3=min(Laxd,g13Ld)S_3 = min(\frac{L_{ax}}{d},\frac {g_{13}L}{d})


Slenderness coefficient for buckling about the major axis, S3
:0


Moisture Content Factor, k4
For unseasoned timber, k4 = 1.0. If unseasoned timber is used under normal conditions of temperature and humidity, and will not be subject to its full design load until it has reached below 25% moisture content, the design capacities can be multiplied by k4.



k4
:1

Buckling about Y-axis

S4=min(Layb,g13Lb)S_4 = min(\frac{L_{ay}}{b},\frac {g_{13}L}{b})


Slenderness coefficient for buckling about the minor axis, S4
:0



k12
:1





Explanation

Timber Properties

Australian Standards set out guidelines and minimum requirements for material properties, design parameters, design procedures and calculation methods. Here, we explain some pertinent timber properties that should be considered carefully when undertaking timber design calculations.

☀️ Seasoning

🌳 Types

🎓 Stress Grade

Design Properties of Structural Timber Elements

Design capacities for all structural timbers are obtained by modifying characteristic capacities with factors appropriate to service conditions and material property type. This process applies to all types of timber.

Member Design Capacity

Characteristic values (f'o)

Capacity Factor (ϕ)

Geometric Properties (X)

Modification Factors (kmod)

Checking Limit States

AS1720.1 provides guidelines for Ultimate Limit State (ULS) design. The calculation methods for design forces and capacities of structural timber members, joints and fasteners are robust enough to account for different scenarios and environmental factors. According to AS1720 Clause 2.1.2 and 2.1.3, the design capacities of members and joints must satisfy the following (right).

Rd>R WhereRd=design capacityR=imposed design actionR_d>R^* \\\ \\ \text{Where} \\ R_d= \text{design capacity} \\ R^* = \text{imposed design action}
Permissible allowable stress limits or design limit c apacities of timber columns are then calculated for each check by multiplying the relevant characteristic properties, modification factors and geometric properties together:


Compressive capacity parallel to grain,Nd,c=ϕk1k4k6k9k12fcAc Compressive capacity perpendicular to grain,Nd,t=ϕk1k4k6ftAt Tensile capacity perpendicular to grain,Nd,tp=ϕk1k11ftpAtp\text{Compressive capacity parallel to grain}, \boldsymbol{N_{d,c}=\phi k_1k_4k_6k_9k_{12}f'_cA_c} \\\ \\ \text{Compressive capacity perpendicular to grain}, \boldsymbol{N_{d,t}=\phi k_1k_4k_6f'_tA_t}\\\ \\\text{Tensile capacity perpendicular to grain}, \boldsymbol{N_{d,tp}=\phi k_1k_{11}f'_{tp}A_{tp}}