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Mechanical Engineering formulas

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Mechanical Engineering

Longitudinal Stress in thin cylinder

Mechanical Engineering

\[\sigma_{t} = \frac{p \cdot d}{4 \cdot t} \cdot \sigma_{t}\]
GATE
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Longitudinal Stress in thin cylinder with efficiency

Mechanical Engineering

\[\sigma_{t} = \frac{p \cdot d}{4 \cdot t} \cdot \sigma_{t}\]
GATE
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Mass removal rate in Electrochemical Machining

Mechanical Engineering

\[Mass_{removal\_rate} \cdot m = \frac{A \cdot I}{Z \cdot F}\]
GATE
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Max Bending Moment due to Pure moment

Mechanical Engineering

\[Max_{Bending\_Moment} = \frac{W \cdot L}{4}\]
GATE
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Max Bending Moment due to Shear force

Mechanical Engineering

\[Max_Bending_Moment = W \cdot L\]
GATE
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Max Bending Moment due to uniform load

Mechanical Engineering

\[Max_Bending_Moment = ( w \cdot L ^ ( 2 ) ) \cdot ( 2 )\]
GATE
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Max Bending Moment in Simply supported beam

Mechanical Engineering

\[Max_Bending_Moment = M\]
GATE
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Max Bending Moment uniformly loaded beam

Mechanical Engineering

\[Max_Bending_Moment = ( w \cdot L ^ ( 2 ) ) \cdot ( 8 )\]
GATE
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Maximum Shear Stress

Mechanical Engineering

\[\tau = \frac{V \cdot A \cdot y_{bar}}{I \cdot b}\]
GATE
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Mean Effective Pressure MEP for IC Engine

Mechanical Engineering

\[Wnet = P_{MEP} \cdot \Delta \cdot V\]
GATE
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Mean radius of friction surfaces in Uniform Wear

Mechanical Engineering

\[R = \frac{r_{1} + r_{2}}{2}\]
GATE
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Mean Stress in cyclic loading

Mechanical Engineering

\[\sigma_{m} = \frac{1}{2} \cdot \left(\sigma_{max} + \sigma_{}\right)\]
GATE
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Metal Cutting Speed

Mechanical Engineering

\[V = ( \pi ) \cdot D \cdot N\]
GATE
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Metrology Tolerances

Mechanical Engineering

\[D = sqrt ( D_ \cdot D_ )\]
GATE
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Module for spur gear

Mechanical Engineering

\[m = \frac{d}{z}\]
GATE
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Module in gear

Mechanical Engineering

\[m = \frac{d}{T}\]
GATE
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Moment of Inertia - I Section

Mechanical Engineering

\[l_x \cdot x = ( ( b \cdot d ^ ( 3 ) ) / ( 12 ) ) - ( ( b_1 \cdot d_1 ^ ( 3 ) ) / ( 12 ) )\]
GATE
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Moment of Inertia of Hollow Section

Mechanical Engineering

\[I_x \cdot x = ( ( b \cdot d ^ ( 3 ) ) / ( 12 ) ) - ( ( b_1 \cdot d_1 ^ ( 3 ) ) / ( 12 ) )\]
GATE
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Moment of Inertia of Rectangular Section

Mechanical Engineering

\[l_x \cdot x = ( ( b \cdot d ^ ( 3 ) ) / ( 12 ) )\]
GATE
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Moment of Inertia-Triangle

Mechanical Engineering

\[l_0 = ( ( b \cdot h ^ ( 3 ) ) / ( 36 ) )\]
GATE
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Net work done and MEP

Mechanical Engineering

\[Wnet = MEP \cdot Displacement\]
GATE
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No. Of Order with Instantaneous Replenishment

Mechanical Engineering

\[No_{of\_order} = \frac{D}{Q_{star}}\]
GATE
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Normal Time in Johnson’s Problem

Mechanical Engineering

\[Normal_Time = Observed_time \cdot Rating_time_factor\]
GATE
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Number of pairs of contact surfaces

Mechanical Engineering

\[n = n_1 + n_2 - 1\]
GATE
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