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Bolt group number of rows
public
$$ n_{r_{bg}} = {5} \; \; $$
Bolt group number of columns
public
$$ n_{c_{bg}} = {2} \; \; $$
Horizontal force on critical bolt due to eccentricity
public
Critical bolt horizontal force
$$ F_{3_{bg}} = {P_{bg} \cdot e_{s_{bg}} \cdot \left({ n_{r_{bg}} - 1 }\right) \cdot {s_{r_{bg}} \over \left({ 2 \cdot I_{bg} }\right)}} \; \; , {kN} $$
Bolt group tension load eccentricity
public
Eccentricity of load causing tension stress from bolt group centroid.
Tesnsion load eccentricity
$$ e_{t_{bg}} = {117} \; \; , {mm} $$
Bolt tension in offset load
public
Bolt tension
$$ T_{1_{bg}} = {{\left({ P_{bg} \cdot e_{t_{bg}} }\right) \over \left({ 2 \cdot n_{c_{bg}} \cdot s_{r_{bg}} \cdot {\left({ n_{r_{bg}} ^ 2 - 5 }\right) \over \left({ 2 \cdot \left({ n_{r_{bg}} - 1 }\right) }\right)} }\right)}} \; \; , {kN} $$
Vertical force on critical bolt due to eccentricity
public
Critical bolt vertical force
$$ F_{2_{bg}} = {P_{bg} \cdot e_{s_{bg}} \cdot {s_{c_{bg}} \over \left({ 2 \cdot I_{bg} }\right)}} \; \; , {kN} $$
Bolt group column spacing
public
$$ s_{c_{bg}} = {90} \; \; , {mm} $$
Horizontal reaction in beam support
public
Horizontal reaction force in beam support due to point load when fixed support is horizontal, but sliding support is at an angle
Horizontal reaction
$$ B_{h_P} = {{\left({ P \cdot b \cdot \tan\left({ \alpha_{rad} }\right) }\right) \over \left({ a + b }\right)}} \; \; , {N} $$
Reaction in angled beam support
public
Reaction in beam support angled inwards.
Normal reaction
$$ R_{n_{angled}} = {{\left({ P_v \cdot a }\right) \over \left({ L \cdot \cos\left({ \alpha_{rad} }\right) }\right)}} \; \; , {N} $$
Minimum shaft diameter - AS1403 F2
public
Minimum shaft diameter as per AS1403 Table 2 Formula 2 for power applied and torque reversal conditions.
Minimum shaft diameter
$$ D_{min_{AS1403_{F2}}} = {\left({ 10 ^ 4 \cdot {F_S \over F_R} \cdot \sqrt{ \left({ K_S \cdot K \cdot \left({ M_q + {\left({ P_q \cdot D_{try} }\right) \over 8000} }\right) }\right) ^ 2 + {3 \over 4} \cdot T_q ^ 2 } }\right) ^ \left({ {1 \over 3} }\right)} \; \; , {mm} $$
Minimum shaft diameter - AS1403 F3
public
Minimum shaft diameter as per AS1403 Table 2 Formula 3 for power applied and torque reversal conditions.
Minimum shaft diameter
$$ D_{min_{AS1403_{F3}}} = {\left({ 10 ^ 4 \cdot {F_S \over F_R} \cdot K_S \cdot K \cdot \sqrt{ \left({ M_q + {\left({ P_q \cdot D_{try} }\right) \over 8000} }\right) ^ 2 + {3 \over 4} \cdot T_q ^ 2 } }\right) ^ \left({ {1 \over 3} }\right)} \; \; , {mm} $$
Second moment of area - rectangle
public
Second moment of area for solid rectangular section
Second moment
$$ I_{rectangular_{solid}} = {{\left({ b \cdot h ^ 3 }\right) \over 12}} \; \; , {mm ^ 4} $$
Second moment of area - SQ
public
Second moment of area for square solid section
Second moment
$$ I_{square_{solid}} = {{a ^ 4 \over 12}} \; \; , {mm ^ 4} $$
Second moment of area - CHS
public
Second moment of area for circular hollow section
Second moment
$$ I_{circular_{hollow}} = {\left({ D ^ 4 - d ^ 4 }\right) \cdot {\pi \over 64}} \; \; , {mm ^ 4} $$
Second moment of area - round
public
Second moment of area for solid circular section
Second moment
$$ I_{circular_{solid}} = {{\left({ \pi \cdot D ^ 4 }\right) \over 64}} \; \; , {mm ^ 4} $$
Torsion modulus of circular section
public
Torsion modulus of circular solid section with known diameter
Torsion modulus
$$ W_{t_{circle}} = {{\left({ \pi \cdot D_{circle_{mm}} ^ 3 }\right) \over 16}} \; \; , {mm ^ 3} $$
Bending stress
public
Calculate normal stress in simply supported beam due to bending caused by single force.
Bending stress
$$ \sigma_{bend_{p_{max}}} = {10 ^ 3 \cdot {M_{B_{p_{max}}} \over W_{y_{section}}}} \; \; , {MPa} $$
Section modulus of circular section
public
Section modulus of circular solid section with known diameter
Section modulus
$$ W_{y_{circle}} = {{\left({ \pi \cdot D_{circle_{mm}} ^ 3 }\right) \over 32}} \; \; , {mm ^ 3} $$
Section modulus of rectangular section
public
Section modulus of rectangular solid section.
Section modulus
$$ W_{y_{rectangle}} = {{\left({ b \cdot h ^ 2 }\right) \over 6}} \; \; , {mm ^ 3} $$
Section modulus of square section
public
Section modulus of square solid section.
Section modulus
$$ W_{y_{square}} = {{a ^ 3 \over 6}} \; \; , {mm ^ 3} $$
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