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Engineering Formulas. Engineering Formula Sheet. Probability. Pk = n!(pk)(qn-k) k!(n-k)! AMA = Actual Mechanical Advantage. DE = Effort Distance.
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frequently not written explicitly in engineering equations. However its use is required to produce a ENGINEERING and MECHANICAL ENGINEERING sections.
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Engineering Formulas Engineering Formula Sheet Probability Pk = n!(pk)(qn-k) k!(n-k)! AMA = Actual Mechanical Advantage DE = Effort Distance
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What formulas do mechanical engineers use?
There are thousands of Mechanical Engineering formulas. These formulas are used in the design of various Mechanical equipment.22 jan. 2023How many formulas are there in mechanical engineering?
The distance formula is used for finding the distance between two points. In two dimensions it is simply an application of the Pythagorean theorem. Given two points (x1,y1) and (x2,y2) the distance between them is: d=?(x2?x1)2+(y2?y1)2.What is distance formula in mechanical engineering?
The unit of stress is N/mm2 or N/m2 When an external force acts on a body, the body tends to undergo deformation. Due to cohesion between molecules the body resist the force. This resistance offered by the body is known as strength of material. 1 N/mm2 =106N/m2 1 bar = 1x105N/m2 2.
PLTW, Inc. Engineering Formulas
Engineering Formula Sheet
Probability
Binomial Probability (o)
Pk = binomial probability of k successes in n trials p = probability of a success q = 1 p = probability of failure k = number of successes n = number of trialsIndependent Events
P (A and B and C) = PAPBPC
P (A and B and C) = probability of independent
events A and B and C occurring in sequencePA = probability of event A
Mutually Exclusive Events
P (A or B) = PA + PB
P (A or B) = probability of either mutually exclusive event A or B occurring in a trialPA = probability of event A
Ȉi = sum of all data values (x1, x2, x3,
n = number of data valuesFrequency
fx = relative frequency of outcome x nx = number of events with outcome x n = total number of eventsPx = probability of outcome x
fa = frequency of all eventsConditional Probability
P (A|D) = probability of event A given event D
P(A) = probability of event A occurring
P(~A) = probability of event A not occurring
ModePlace data in ascending order.
Mode = most frequently occurring value
If two values occur at the maximum frequency the
data set is bimodal.If three or more values occur at the maximum
frequency the data set is multi-modal. Meanµ = mean value
Ȉxi = sum of all data values (x1, x2, x3
n = number of data valuesStandard Deviation
ı= standard deviation
xi = individual data value ( x1, x2, x3 n = number of data values RangeRange = xmax - xmin
xmax = maximum data value xmin = minimum data valueMedian
Place data in ascending order.
If n is odd, median = central value
If n is even, median = mean of two central values
n = number of data valuesStatistics
1 EDD BE CIM IED POE DE CEA AE
PLTW, Inc. Engineering Formulas
Plane Geometry
Triangle
Area = ½ bh
a2 = b2 + c2 2bc·cosס b2 = a2 + c2 2ac·cosס c2 = a2 + b2 2ab·cosס h b a c A B CEllipse
2b 2aRegular Polygons
n = number of sides f sRectangle
Perimeter = 2a + 2b
Area = ab
Circle
Parallelogram
Area = bh h
bPyramid
A = area of base
hSolid Geometry
Sphere
Volume ସ
ଷ ʌ r3Surface Area = 4 ʌ r2
r h d wRectangular Prism
Volume = wdh
Surface Area = 2(wd + wh + dh)
h rCylinder
Volume = ʌ r2 h
Surface Area = 2 ʌ r h+2 ʌ r2
CubeVolume = s3
Surface Area = 6s2
s s sRight Circular Cone
r hTrapezoid
Area = ½(a + b)h
b h h h a hConstants
g = 9.8 m/s2 = 32.27 ft/s2G = 6.67 x 10-11 m3/kg·s2
ʌ= 3.14159
hIrregular Prism
Volume = Ah
A = area of base
aRight Triangle
c2 = a2 + b2 b c2 EDD BE CIM IED POE DE CEA AE
PLTW, Inc. Engineering Formulas
Numbers Less Than One Numbers Greater Than One
Power of 10 Prefix Abbreviation Power of 10 Prefix Abbreviation10-1 deci- d 101 deca- da
10-2 centi- c 102 hecto- h
10-3 milli- m 103 kilo- k
10-6 micro- µ 106 Mega- M
10-9 nano- n 109 Giga- G
10-12 pico- p 1012 Tera- T
10-15 femto- f 1015 Peta- P
10-18 atto- a 1018 Exa- E
10-21 zepto- z 1021 Zetta- Z
10-24 yocto- y 1024 Yotta- Y
SI Prefixes
Conversions
Mass1 kg = 2.205 lbm
1 slug = 32.2 lbm
1 ton = 2000 lbm
Force1 N = 0.225 lbf
1 kip = 1,000 lbf
Length
1 m = 3.28 ft
1 km = 0.621 mi
1 in. = 2.54 cm
1 mi = 5280 ft
1 yd = 3 ft
Area1 acre = 4047 m2
= 43,560 ft2 = 0.00156 mi2Volume
1L = 0.264 gal
= 0.0353 ft3 = 33.8 fl oz1mL = 1 cm3 = 1 cc
Pressure
1 atm = 1.01325 bar
= 33.9 ft H2O = 29.92 in. Hg = 760 mm Hg = 101,325 Pa = 14.7 psi1psi = 2.31 ft of H2O
Power1 W = 3.412 Btu/h
= 0.00134 hp = 14.34 cal/min = 0.7376 ft·lbf/sEnergy
1 J = 0.239 cal
= 9.48 x 10-4 Btu = 0.7376 ft·lbf1kW h = 3,6000,000 J
Temperature Change
1 K = 1 ºC
= 1.8 ºF = 1.8 ºR Time1 d = 24 h
1 h = 60 min
1 min = 60 s
1 yr = 365 d
Equations Force
F = ma
F = force
m = mass a = accelerationMass and Weight
M = VDm
W = mg
W = VDw
V = volume
Dm = mass density
m = massDw = weight density
g = acceleration due to gravityDefined Units
1 J = 1 N·m
1 N = 1 kg·m / s2
1 Pa = 1 N / m2
1 V = 1 W / A
1 W = 1 J / s
1 W = 1 V / A
1 Hz = 1 s-1
1 F = 1 A·s / V
1 H = 1 V·s / V
Equations of Static Equilibrium
ȈFx = 0 ȈFy = 0 ȈMP = 0
Fx = force in the x-direction
Fy = force in the y-direction
MP = moment about point P
Temperature
TK = TC + 273
TR = TF + 460
TK = temperature in Kelvin
TC = temperature in Celsius
TR = temperature in Rankin
TF = temperature in Fahrenheit
3 EDD BE CIM IED POE DE CEA AE
PLTW, Inc. Engineering Formulas
Energy: Work
W = work
F = force
d = distanceFluid Mechanics
(Guy-P1V1 = P2V2
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