ENOTE IN MERE VELIČIN - uni-lj.si
Transcript of ENOTE IN MERE VELIČIN - uni-lj.si
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I&R: P-IV/1/24
ENOTE IN MERE VELIČIN
dolžina
kot
ploščina, površina
volumen
vztrajnostni
moment prereza
geometrijske veličine
[ m ]
[ rad ]
[ m2 ]
[ m3 ]
[ m4 ]
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I&R: P-IV/2/24
čas
hitrost
pospešek
frekvenca
vrtilna hitrost
kotna hitrost
kotni pospešek
časovne veličine
ENOTE IN MERE VELIČIN
[ s ]
[ m / s ]
[ m / s2 ]
[ Hz ]=[ 1 / s ]
[ vrt / s ]
[ rad / s ]
[ rad / s2 ]
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I&R: P-IV/3/24
sila
moment sile
tlak
napetost
delo
energija
moč
silske veličine
ENOTE IN MERE VELIČIN
[ N ]
[ N m ]
[ Pa ] = [ N / m2 ]
[ Pa ] = [ N / m2 ]
[ J ] = [ N m ]
[ J ] = [ N m ] = [ W s ]
[ W ] = [ J / s ]
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I&R: P-IV/4/24
temperatura
temperaturna razteznost
hitrost segrevanja
toplota
toplotna kapaciteta
toplotna prevodnost
toplotna prestopnost
toplotni tok
volumska generacija toplote
toplotne veličine
ENOTE IN MERE VELIČIN
[ K ]
[ m / ( m K ) ] = [1 / K ]
[ K / s ]
[ J ]
[ J / ( kg K ) ]
[ W / ( m K ) ] = [ J / ( s m K ) ]
[ W / ( m2 K ) ] = [ J / ( s m2 K ) ]
[ W / m2 ] = [ J / ( s m2 ) ]
[ W / m3 ] = [ J / ( s m3 ) ]
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I&R: P-IV/5/24
električni tok
električna napetost
električna upornost
električna prevodnost
električne veličine
ENOTE IN MERE VELIČIN
[ A ]
[ V ] = [ ( N m ) / ( A s ) ]
[ Ω ] = [ V / A ]
[ 1 / Ω ] = [ A / V ]
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I&R: P-IV/6/24
svetilnost
optične enote
ENOTE IN MERE VELIČIN
[ cd ]
množina snovi
kemijske enote
[ mol ]
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I&R: P-IV/7/24
CuCuAlAl
01LL
LTT
αα +
∆+=
[ ] [ ] [ ]
[ ] [ ] [ ] [ ]1-1- KmKm
mKK
++=
1) kontrola ustreznosti enačbe
kontrola pravilnosti zapisa formule s pomočjo enot veličin,
ki nastopajo v enačbi
PRISTOP K IZRAČUNU FORMULE
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I&R: P-IV/8/24
1) kontrola ustreznosti enačbe
kontrola pravilnosti zapisa formule s pomočjo enot veličin,
ki nastopajo v enačbi
[ ][ ] [ ]
[ ][ ] [ ]
[ ][ ][ ]
+
−
=
32
4
2
3
m
m2
m
m311
mm
N48
mmm
N
m
+
−=
323
23148
)(L
x
L
x
JE
xLpxf
PRISTOP K IZRAČUNU FORMULE
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I&R: P-IV/9/24
p=3
q1=0,3
q2=0,7
z1=17
z2=76
n1=710 min-1
n2=n1*z1/z2
P1=3500N
P2=1750N
C=30kN
PRISTOP K IZRAČUNU FORMULE
1) kontrola ustreznosti enačbe ∑ ⋅=i
ii nqnm
mm
6
10h
110
nP
CL
p
⋅
⋅=
p
i
i
p
i qPP ∑ ⋅=m
[1]
[1]
[1]
[1]
[1]
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I&R: P-IV/10/24
p=3
q1=0,3
q2=0,7
z1=17
z2=76
n1=710 min-1
n2=n1*z1/z2
P1=3500N
P2=1750N
C=30kN
PRISTOP K IZRAČUNU FORMULE
1) kontrola ustreznosti enačbe ∑ ⋅=i
ii nqnm
[ ] [ ] [ ]∑=i
-1-1 min1min
p
i
i
p
i qPP ∑ ⋅=m
[ ] [ ] [ ]p
i
p∑= 1NN
mm
6 110
nP
Ct
p
⋅
⋅=
[ ] [ ][ ]
[ ] 11minN
Nmin
−−
=
p
[1]
[1]
[1]
[1]
[1]
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I&R: P-IV/11/24
F = 12 kN
dv = 15 mm
dm = 23 mm
β = 30o
h = 2 mm
µv = 0.1
µp = 0.2
PRISTOP K IZRAČUNU FORMULE
1) kontrola ustreznosti enačbe
=
v
arctand
h
πα
=
)cos(arctan v
β
µρ
( )
++=22
tan mp
v ddFM µρα
[1]
[1]
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I&R: P-IV/12/24
F = 12 kN
dv = 15 mm
dm = 23 mm
β = 30o
h = 2 mm
µv = 0.1
µp = 0.2
PRISTOP K IZRAČUNU FORMULE
1) kontrola ustreznosti enačbe
=
v
arctand
h
πα
[ ] [ ][ ]mm
mmrad =
=
)cos(arctan v
β
µρ
[ ] [ ][ ]1
1rad =
( )
++=22
tan mp
v ddFM µρα
[ ] [ ] [ ] [ ] [ ] [ ] mm1mm1kNmm kN +=
[1]
[1]
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I&R: P-IV/13/24
PRISTOP K IZRAČUNU FORMULE
2) enote veličin, ki nastopajo v formuli, morajo biti usklajene
p = 5 kN/m
L = 4,0 m
x = 1,5 m
E = 2 . 105 MPa
J = 5 . 106 mm4
+
−=
323
23148
)(L
x
L
x
JE
xLpxf
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I&R: P-IV/14/24
PRISTOP K IZRAČUNU FORMULE
2) enote veličin, ki nastopajo v formuli, morajo biti usklajene
p = 5 kN/m = 5 N/mm
L = 4,0 m = 4000 mm
x = 1,5 m = 1500 mm
E = 2 . 105 MPa = 2 . 105 N/mm2
J = 5 . 106 mm4
+
−=
323
23148
)(L
x
L
x
JE
xLpxf
![Page 15: ENOTE IN MERE VELIČIN - uni-lj.si](https://reader031.fdocuments.net/reader031/viewer/2022012408/616a2fba11a7b741a34fc0a4/html5/thumbnails/15.jpg)
I&R: P-IV/15/24
PRISTOP K IZRAČUNU FORMULE
2) enote veličin, ki nastopajo v formuli, morajo biti usklajene
p = 5 kN/m = 5000 N/m
L = 4,0 m
x = 1,5 m
E = 2 . 105 MPa = 2 . 1011 N/m2
J = 5 . 106 mm4 = 5 . 10-6 m4
+
−=
323
23148
)(L
x
L
x
JE
xLpxf
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I&R: P-IV/16/24
PRISTOP K IZRAČUNU FORMULE
3) zapis formule v obliki za zapis v programu MS Excel
+
−=
323
23148
)(L
x
L
x
JE
xLpxf
( p * ( L ^ 3 ) * A2 ) / ( 48 * E * J ) * ( 1 – 3 * ( ( A2 / L ) ^ 2 ) + 2 * ( ( A2 / L ) ^ 3 ) )
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I&R: P-IV/17/24
( p * ( L ^ 3 ) * A2 ) / ( 48 * E * J ) * ( 1 – 3 * ( ( A2 / L ) ^ 2 ) + 2 * ( ( A2 / L ) ^ 3 ) )
PRISTOP K IZRAČUNU FORMULE
3) zapis formule v obliki za zapis v programu MS Excel
• vrstni red izvajanja računskih operacij
![Page 18: ENOTE IN MERE VELIČIN - uni-lj.si](https://reader031.fdocuments.net/reader031/viewer/2022012408/616a2fba11a7b741a34fc0a4/html5/thumbnails/18.jpg)
I&R: P-IV/18/24
( p * ( L ^ 3 ) * A2 ) / ( 48 * E * J ) * ( 1 – 3 * ( ( A2 / L ) ^ 2 ) + 2 * ( ( A2 / L ) ^ 3 ) )
PRISTOP K IZRAČUNU FORMULE
3) zapis formule v obliki za zapis v programu MS Excel
• vrstni red izvajanja računskih operacij
![Page 19: ENOTE IN MERE VELIČIN - uni-lj.si](https://reader031.fdocuments.net/reader031/viewer/2022012408/616a2fba11a7b741a34fc0a4/html5/thumbnails/19.jpg)
I&R: P-IV/19/24
( p * ( L ^ 3 ) * A2 ) / ( 48 * E * J ) * ( 1 – 3 * ( ( A2 / L ) ^ 2 ) + 2 * ( ( A2 / L ) ^ 3 ) )
PRISTOP K IZRAČUNU FORMULE
3) zapis formule v obliki za zapis v programu MS Excel
• vrstni red izvajanja računskih operacij
![Page 20: ENOTE IN MERE VELIČIN - uni-lj.si](https://reader031.fdocuments.net/reader031/viewer/2022012408/616a2fba11a7b741a34fc0a4/html5/thumbnails/20.jpg)
I&R: P-IV/20/24
( p * ( L ^ 3 ) * A2 ) / ( 48 * E * J ) * ( 1 – 3 * ( ( A2 / L ) ^ 2 ) + 2 * ( ( A2 / L ) ^ 3 ) )
PRISTOP K IZRAČUNU FORMULE
3) zapis formule v obliki za zapis v programu MS Excel
• vrstni red izvajanja računskih operacij
![Page 21: ENOTE IN MERE VELIČIN - uni-lj.si](https://reader031.fdocuments.net/reader031/viewer/2022012408/616a2fba11a7b741a34fc0a4/html5/thumbnails/21.jpg)
I&R: P-IV/21/24
( p * ( L ^ 3 ) * A2 ) / ( 48 * E * J ) * ( 1 – 3 * ( ( A2 / L ) ^ 2 ) + 2 * ( ( A2 / L ) ^ 3 ) )
PRISTOP K IZRAČUNU FORMULE
3) zapis formule v obliki za zapis v programu MS Excel
• vrstni red izvajanja računskih operacij
![Page 22: ENOTE IN MERE VELIČIN - uni-lj.si](https://reader031.fdocuments.net/reader031/viewer/2022012408/616a2fba11a7b741a34fc0a4/html5/thumbnails/22.jpg)
I&R: P-IV/22/24
( p * ( L ^ 3 ) * A2 ) / ( 48 * E * J ) * ( 1 – 3 * ( ( A2 / L ) ^ 2 ) + 2 * ( ( A2 / L ) ^ 3 ) )
PRISTOP K IZRAČUNU FORMULE
3) zapis formule v obliki za zapis v programu MS Excel
• vrstni red izvajanja računskih operacij
1
4
1
2 2
3 3
1 1
2
5
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I&R: P-IV/23/24
4) preverjanje formul v programu MS Excel
UPORABA RAČUNALNIŠKEGA PROGRAMA MS Excel 2010
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I&R: P-IV/24/24
spisek nekaterih napak pri vnosu podatkov v preglednico
in sestavljanju formul
##### se izpiše v celici, če stolpec ni dovolj širok za izpis števila
#IME? se izpiše v celici, če besedilo v formuli ni pravilno
#DEL/0! se izpiše v celici, če je število deljeno z 0
#VREDN! se izpiše v celici, če je uporabljen napačen zapis argumenta v izračunu
#SKLIC! se izpiše v celici, če sklic ni veljaven
#ŠTEV! se izpiše v celici, ko je nekaj narobe s številom
zapis decimalne pike (.) namesto decimalne vejice (,) pri zapisu konstant
UPORABA RAČUNALNIŠKEGA PROGRAMA MS Excel 2010