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Section moment capacity
public
Section moment capacity for bending about a principal axis as per AS 4100:2020 Section 5.2.1
Section moment capacity
$$ M_{s_{AS4100}} = {f_y \cdot {Z_{e_{AS4100}} \over 10 ^ 3}} \; \; , {Nm} $$
Effective section modulus
public
Effective section modulus for compact sections as per AS 4100:2020 Section 5.2.3
IF
$ S_{x_{AS4100}} $ < $ 1.1 * Z_{x_{AS4100}} $
THEN
$$ Z_{e_{AS4100}} = {S_{x_{AS4100}}} \:, {mm ^ 3} $$
OTHERWISE
$$ Z_{e_{AS4100}} = {Z_{x_{AS4100}}} \:, {mm ^ 3} $$
Plastic section moduli
public
Plastic section moduli
$$ S_{x_{AS4100}} = {533000} \; \; , {mm ^ 3} $$
Elastic section moduli
public
Elastic section moduli
$$ Z_{x_{AS4100}} = {430000} \; \; , {mm ^ 3} $$
Effective length
public
The effective length of a segment or sub-segment as per AS 4100:2020 Section 5.6.3
Effective length
$$ l_{e_{AS4100}} = {k_{t_{AS4100}} \cdot k_{l_{AS4100}} \cdot k_{r_{AS4100}} \cdot l_{AS4100}} \; \; , {mm} $$
Reference buckling moment
public
Reference buckling moment as per AS 4100:2020 Section 5.6.1.1
Reference buckling moment
$$ M_{o_{AS4100}} = {{\sqrt{ \pi ^ 2 \cdot E \cdot {I_{y_{AS4100}} \over l_{e_{AS4100}} ^ 2} \cdot \left({ G \cdot J_{RHS} + \pi ^ 2 \cdot E \cdot {I_{w_{AS4100}} \over l_{e_{AS4100}} ^ 2} }\right) } \over 10 ^ 3}} \; \; , {Nmm} $$
Slenderness reduction factor
public
Slenderness reduction factor as per AS 4100:2020 Section 5.6.1.1
Slenderness reduction factor
$$ \alpha_{s_{AS4100}} = {0.6 \cdot \left({ \sqrt{ \left({ {M_{s_{AS4100}} \over M_{o_{AS4100}}} }\right) ^ 2 + 3 } - \left({ {M_{s_{AS4100}} \over M_{o_{AS4100}}} }\right) }\right)} \; \; $$
Nominal member moment capacity
public
The nominal member moment capacity as per AS4100:2020 Section 5.6.1.1(1)
Nominal member moment capacity
$$ M_{b_{AS4100}} = {\alpha_{m_{AS4100}} \cdot \alpha_{s_{AS4100}} \cdot M_{s_{AS4100}}} \; \; , {Nm} $$
Shear stress
public
Calculate shear stress in a custom rectangular solid section under point load.
Shear stress
$$ \tau_{shear_{rectangle}} = {{F_N \over \left({ A_{rectangle} \cdot n_{sp} }\right)}} \; \; , {MPa} $$
Bending stress
public
Calculate normal stress in a custom rectangular solid section due to bending moment.
Bending stress
$$ \sigma_{bend_{SQ}} = {10 ^ 3 \cdot {M_{B_p} \over W_{y_{rectangle}}}} \; \; , {MPa} $$
Distance
public
Distance a
$$ a_{\Delta} = {100} \; \; , {mm} $$
Distance
public
Distance b
$$ b_{\Delta} = {100} \; \; , {mm} $$
Compression stress
public
Calculate compression stress in a custom rectangular solid section under point load.
Compression stress
$$ \sigma_{comp_{1P}} = {{F_N \over A_{rectangle}}} \; \; , {MPa} $$
Area of rectangular hollow section
public
Area of rectangular hollow section
Area
$$ A_{rectangle} = {H \cdot B} \; \; , {mm ^ 2} $$
Area of belt conveyor
public
Area required for a belt conveyor with known mass flow rate and bulk material density.
Required area
$$ A_{conv_{mass}} = {{( Q \cdot 10 ^ 6 ) \over \left({ v_{conv} \cdot 3600 \cdot \rho_{bm} }\right)}} \; \; , {mm ^ 2} $$
Belt conveyor capacity
public
Theoretical mass flow rate of a belt conveyor with known area and material density.
Mass flow rate
$$ Q_{conv_m} = {{A \over 10 ^ 6} \cdot v_{conv} \cdot 3600 \cdot \rho_{bm}} \; \; , {{kg \over h}} $$
Conveyor speed
public
Conveying speed
Conveyor speed
$$ v_{conv} = {2} \; \; , {{m \over s}} $$
Base of triangle
public
Calculates base of isosceles triangle for given area and base angle.
Base length
$$ c_{isos} = {\sqrt{ {( 2 \cdot A ) \over \tan( \alpha_{rad} )} }} \; \; , {mm} $$
Area of triangle
public
Calculates area of isosceles triangle by given base and base angle
Area
$$ A_{isos_{\alpha}} = {{c ^ 2 \over 2} \cdot \tan( \alpha_{rad} )} \; \; , {mm ^ 2} $$
Angle
public
Convert angle from degrees to radians
Angle in radians
$$ \alpha_{rad} = {\alpha_{deg} \cdot {\pi \over 180}} \; \; , {rad} $$
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