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Bending moment
This functionality is in
beta stage
.
Bending moment
public
Maximum bending moment in simply supported beam under offset point load.
Input
Applied load
$ P = 1000 \; \; N $
Distance between support A and load P
$ a = 0.05 \; \; m $
Distance between load P and support B
$ b = 0.05 \; \; m $
Result
$$ M_{B_{p_{max}}} = {{( P \cdot a \cdot b ) \over \left({ a + b }\right)}} \; \; , {Nm} $$
Show formula syntax
Hide formula syntax
M_{B_{p_{max}}} = ( P * a * b ) / ( a + b )
Dependant calculations
2
Bending stress
public
Calculate normal stress in simply supported beam due to bending caused by single force.
Section modulus of the beam
$$ W_{y_{section}} = 10000 \: mm^3 $$
Bending stress
$$ \sigma_{bend_{p_{max}}} = {10 ^ 3 \cdot {M_{B_{p_{max}}} \over W_{y_{section}}}} \:, MPa $$
Minimum shaft diameter
public
Calculate minimum diameter of shaft subject to bending by point load using AS1403 formula 1 (no tension & no torsion).
Safety factor
$$ F_S = 2 \: $$ Yield stress
$$ F_Y = 250 \: MPa $$
$$ D_{shaft_{min_{p_{max}}}} = {\left({ {F_S \over F_Y} \cdot M_{B_{p_{max}}} \cdot 10 ^ 4 }\right) ^ \left({ {1 \over 3} }\right)} \:, mm $$
Calculation