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GATE formulas

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Mechanical Engineering

Deflection and Slope in Simply supported beam

Mechanical Engineering

\[Slope = \frac{M \cdot L}{2 \cdot E \cdot I}\]
GATE
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Mechanical Engineering

Deflection and Slope in uniformly loaded beam

Mechanical Engineering

\[Slope = ( ( w \cdot L ^ ( 3 ) ) / ( 24 \cdot E \cdot I ) )\]
GATE
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Mechanical Engineering

Deflection Cantilever due to Pure Moment

Mechanical Engineering

\[Slope = \frac{M \cdot L}{E \cdot I}\]
GATE
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Mechanical Engineering

Deflection in Cantilever due to Shear force

Mechanical Engineering

\[Slope = ( ( W \cdot L ^ ( 2 ) ) / ( 2 \cdot E \cdot I ) )\]
GATE
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Mechanical Engineering

Deflection in Cantilever due to uniform load

Mechanical Engineering

\[Slope = ( ( w \cdot L ^ ( 3 ) ) / ( 6 \cdot E \cdot I ) )\]
GATE
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Mechanical Engineering

Degree of Saturation

Mechanical Engineering

\[\mu = \frac{Specific_{humidity\_of\_air}}{Specific_{humidity\_of\_Saturated\_air}}\]
GATE
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Civil Engineering

Degree of Saturation od soil

Civil Engineering

\[S = \frac{V_{w}}{V_{v}} \cdot 100\]
GATE
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Computer Science

Delay for N bit Binary parallel adder

Computer Science

\[Total_delay = ( 2 \cdot N + 1 ) \cdot tp\]
GATE
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Computer Science

Delay for N bit Look ahead Adder

Computer Science

\[Total_delay = 4 \cdot tp\]
GATE
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Electrical Engineering

Demand Factor

Electrical Engineering

\[Demand_{Factor} = \frac{Maximum_{demand}}{Connected_{load}}\]
GATE
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Civil Engineering

Deoxygenation constant at temperature T=20°

Civil Engineering

\[S = 100 \cdot ( 1 - ( 0.794 ) ^ ( t_20 ) )\]
GATE
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Civil Engineering

Deoxygenation constant at temperature T=37°

Civil Engineering

\[S = 100 \cdot ( 1 - ( 0.794 ) ^ ( t_37 ) )\]
GATE
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Electronics Engineering

Depletion Type MOSFET IDSS

Electronics Engineering

\[I_{DSS} = \frac{1}{2} \cdot K_{n\_prime} \cdot \frac{W}{L} \cdot {V_{t}}^{2}\]
GATE
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Mechanical Engineering

Dew Point Depression

Mechanical Engineering

\[DPD = DBT - DPT\]
GATE
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Mechanical Engineering

Diametrical pitch for spur gear

Mechanical Engineering

\[P = \frac{z}{d}\]
GATE
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Mechanical Engineering

Diametrical Pitch in gear

Mechanical Engineering

\[P = \frac{T}{d}\]
GATE
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Electrical Engineering

Dielectric dissipation factor of the insulation system

Electrical Engineering

\[Rs = X_{c} \cdot \tan\left(\delta\right)\]
GATE
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Electrical Engineering

Dielectric power loss

Electrical Engineering

\[P = I ^ ( 2 ) \cdot R_s\]
GATE
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Electronics Engineering

Differential Amplifier CMMR

Electronics Engineering

\[CMRR = \frac{h_{fe} \cdot R_{e}}{R_{s} + h_{ie}}\]
GATE
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Electronics Engineering

Differential Amplifier gm

Electronics Engineering

\[g_{m} = \frac{I_{C}}{4 \cdot V_{T}}\]
GATE
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Electronics Engineering

Differential Amplifier Zi

Electronics Engineering

\[Z_i = h_ie + ( 1 + h_fe ) \cdot 2 \cdot R_e\]
GATE
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Electrical Engineering

Differentially compounded DC generator current

Electrical Engineering

\[I_a = I_f + I_L\]
GATE
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Electrical Engineering

Differentially compounded DC generator voltage

Electrical Engineering

\[V_t = E_a - I_a \cdot ( R_a + R_s )\]
GATE
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Electronics Engineering

Diffusion constant, mobility and thermal voltage

Electronics Engineering

\[D_{n} \cdot \mu_{n} = D_{P} \cdot \mu_{P}\]
GATE
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