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Shear modulus of elasticity
public
Shear modulus
$$ G = {80000} \; \; , {MPa} $$
Bending stress
public
Calculate normal stress in a section, with known section modulus, due to bending caused by distributed load
Bending stress
$$ \sigma_{bend_{d_{max}}} = {10 ^ 3 \cdot {M_{B_{d_{max}}} \over W_{y_{section}}}} \; \; , {MPa} $$
Bending stress
public
Calculate normal stress in a solid circular section, with known diameter, due to bending moment.
Bending stress
$$ \sigma_{bend_{circle_p}} = {10 ^ 3 \cdot {M_{B_p} \over W_{y_{circle}}}} \; \; , {MPa} $$
Equivalent stress
public
Calculate von Mises stress
von Mises stress
$$ \sigma_{vonMises} = {\sqrt{ \sigma_x ^ 2 - \sigma_x \cdot \sigma_y + \sigma_y ^ 2 + 3 \cdot \tau_{xy} ^ 2 }} \; \; , {MPa} $$
Reaction force
public
Reaction force A due to point load P with hinge support at B
Reaction in A
$$ R_{p_{A_1}} = {P \cdot {b \over \left({ a + b }\right)}} \; \; , {N} $$
Maximum bending deflection
public
Maximum deflection of simply supported beam subject to two equal loads at equal distance from supports.
Maximum deflection
$$ \Delta_{max_{2p}} = {{( P \cdot l ^ 2 \cdot a ) \over \left({ 24 \cdot E \cdot I }\right)} \cdot \left({ 3 - 4 \cdot \left({ {a \over l} }\right) ^ 2 }\right)} \; \; , {mm} $$
Bearing life
public
Basic rating life of a ball bearing in revolutions.
Ball bearing revolutions
$$ L_{bearing_{rev_{ball}}} = {a_1 \cdot \left({ {C \over P_{dyn}} }\right) ^ 3} \; \; , {10 ^ 6 revolutions} $$
Bearing life
public
Basic rating life of a roller bearing in revolutions.
Roller bearing revolutions
$$ L_{bearing_{rev_{roller}}} = {a_1 \cdot \left({ {C \over P_{dyn}} }\right) ^ \left({ {10 \over 3} }\right)} \; \; , {10 ^ 6 revolutions} $$
Equivalent static bearing load
public
Equivalent bearing load as a result of radial and axial bearing loads
Equivalent static load
$$ P_{O_{st}} = {X_O \cdot F_r + Y_O \cdot F_a} \; \; , {kN} $$
Required static load rating
public
Determine bearing size based on the static load carrying capacity.
Basic static load rating
$$ C_{O_{st}} = {s_O \cdot P_{O_{st}}} \; \; , {kN} $$
Equivalent dynamic bearing load
public
Equivalent bearing load as a result of radial and axial bearing loads
Equivalent dynamic load
$$ P_{dyn} = {X \cdot F_r + Y \cdot F_a} \; \; , {kN} $$
Bearing life
public
Basic rating life of a roller bearing in hours.
Roller bearing hours
$$ L_{bearing_{hr_{roller}}} = {{10 ^ 6 \over \left({ 60 \cdot n }\right)} \cdot L_{bearing_{rev_{ball}}}} \; \; , {h} $$
Bearing life
public
Basic rating life of a ball bearing in hours.
Ball bearing hours
$$ L_{bearing_{hr_{ball}}} = {{10 ^ 6 \over \left({ 60 \cdot n }\right)} \cdot L_{bearing_{rev_{ball}}}} \; \; , {h} $$
Angle
public
Convert angle from radians to degrees
Angle in degrees
$$ \alpha_{deg} = {\alpha_{rad} \cdot {180 \over \pi}} \; \; , {°} $$
Reaction force
public
Reaction force at P due to point load B with hinge support in A.
Reaction in P
$$ P_{p_P} = {B \cdot {( a + b ) \over a}} \; \; , {N} $$
Reaction force
public
Reaction force A due to point load B with hinge support at P
Reaction in A
$$ R_{p_A} = {B \cdot {b \over a}} \; \; , {N} $$
Bending moment
public
Bending moment of simply supported beam subject to two equal loads at equal distance from supports.
Bending moment
$$ M_{B_2p} = {P \cdot a} \; \; , {Nm} $$
Bending moment
public
Bending moment in simply supported beam under equally spaced in the middle uniform load at point C.
$$ M_{B_{d_{C}}} = {{W_d \over 2} \cdot a} \; \; , {Nm} $$
Bending moment
public
Maximum bending moment in simply supported beam under equally spaced in the middle uniform load.
$$ M_{B_{d_{max}}} = {\left({ {W_d \over 4} }\right) \cdot \left({ 2 \cdot a + b - {b \over 2} }\right)} \; \; , {Nm} $$
Circle diameter
public
Diameter of a circle.
Circle diameter
$$ D_{circle_{mm}} = {10} \; \; , {mm} $$
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