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GATE

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GATE formulas

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Computer Science

Speed Up of Pipeline

Computer Science

\[Speed_{Up\_of\_Pipeline} = \frac{Time_{Taken\_to\_perform\_the\_Task\_without\_Pipeline}}{Time_{Taken\_to\_perform\_the\_Task\_with\_Pipeline}}\]
GATE
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Computer Science

Sqaping Required for Arranging N Elements

Computer Science

\[Total_number_of_sqaping_required_for_arranging_n_elements = ( ( n ^ ( 2 ) ) / ( 2 ) )\]
GATE
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Civil Engineering

Square Group efficiency η

Civil Engineering

\[Q_{u} \cdot g = \eta \cdot Q_{u} \cdot p\]
GATE
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Electrical Engineering

Stacking or iron factor of transformer

Electrical Engineering

\[k_{s} = \frac{Net_{Cross\_Sectional\_area}}{Gross_{Cross\_Sectional\_area}}\]
GATE
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Electronics Engineering

Standard deviation in measurement

Electronics Engineering

\[\sigma = \frac{r}{0.6745}\]
GATE
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Mechanical Engineering

Standard deviation in PERT

Mechanical Engineering

\[\sigma = \frac{t_{p} - t_{0}}{6}\]
GATE
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Mechanical Engineering

Standard Time in Johnson’s Problem

Mechanical Engineering

\[Standard_time = Normal_time + allowances\]
GATE
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Mechanical Engineering

Stanton Number (St)

Mechanical Engineering

\[St = \frac{Heat_{transfer\_coefficient}}{Heat_{flow\_per\_unit\_temperature\_rise}}\]
GATE
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Electronics Engineering

Static correction

Electronics Engineering

\[\delta \cdot C = A_{t} - A_{m}\]
GATE
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Electronics Engineering

Steady deflection D’Arsonval Galvanometer

Electronics Engineering

\[\theta_{f} = \frac{NBA}{K} \cdot i\]
GATE
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Electronics Engineering

Steinhart-Hart equation

Electronics Engineering

\[\frac{1}{T} = A + B \cdot ln \cdot R + C \cdot {\left(ln \cdot R\right)}^{3}\]
GATE
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Mechanical Engineering

Strain energy due to axial loads

Mechanical Engineering

\[U = ( ( ( ( P ^ 2 ) \cdot L ) ) / ( ( 2 \cdot AE ) ) )\]
GATE
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Mechanical Engineering

Strain energy due to Bending

Mechanical Engineering

\[U = ( ( ( ( M ^ 2 ) \cdot L ) ) / ( ( 2 \cdot EI ) ) )\]
GATE
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Mechanical Engineering

Strain energy due to Pure Shear

Mechanical Engineering

\[U = \frac{{\tau}^{2} \cdot V}{2 \cdot G}\]
GATE
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Mechanical Engineering

Strain energy due to Torsion

Mechanical Engineering

\[U = ( ( ( ( T ^ 2 ) \cdot L ) ) / ( ( 2 \cdot GJ ) ) )\]
GATE
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Mechanical Engineering

Strain Energy in Solid Cylinder

Mechanical Engineering

\[U = \frac{{\tau}^{2}}{4 \cdot G} \cdot Volume_{of\_shaft}\]
GATE
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Mechanical Engineering

Strain Energy in Torsion

Mechanical Engineering

\[U = \frac{1}{2} \cdot T \cdot \theta\]
GATE
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Mechanical Engineering

Strain in thin Spherical Shell

Mechanical Engineering

\[\sigma_{h} = \frac{p \cdot d}{2 \cdot t}\]
GATE
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Electrical Engineering

Stray load loss in series motor

Electrical Engineering

\[P_st = Stray_load_loss\]
GATE
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Mechanical Engineering

Strength of Transverse Fillet Weld

Mechanical Engineering

\[P = 0.707 \cdot s \cdot l \cdot \sigma_{t}\]
GATE
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Mechanical Engineering

Stress concentration Factor

Mechanical Engineering

\[k_{t} = \frac{Highest_{value\_of\_actual\_stress\_near\_discontinuity}}{Nomin_{al\_stress\_obtained\_by\_elementary\_equations}}\]
GATE
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Mechanical Engineering

Stress in thin Spherical Shell

Mechanical Engineering

\[\sigma_{L} = \sigma_{h}\]
GATE
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Mechanical Engineering

Stresses due to sudden Loading

Mechanical Engineering

\[\sigma = \frac{2 \cdot F}{A}\]
GATE
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Electrical Engineering

String Efficiency

Electrical Engineering

\[String_{efficiency} = \frac{Voltage_{across\_the\_string}}{n \cdot voltage_{acrosss\_the\_unit\_near\_power\_conductor}}\]
GATE
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