Summary
Samenvatting Sterkteleer formules
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Alle formules die jij voor sterkteleer nodig hebt samengevat in een overzichtelijk document. Per hoofdstuk/categorie ingedeeld
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By: khvandekieft • 1 year ago
By: ballimeno • 1 year ago
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Content preview
Sterkteleer formulebladAlgemene grootheden en eenheden:
σ … = Normaalspanning (Pa of N/m ) 2
A = Oppervlakte (m2)
P = Trekkracht (N)
V = Schuifkracht (N)
ϵ … = Rek (geen eenheid)
L = Lengte (m)
δ = Elongation (lengteverschil) (meestal in meters)
E = Young’s modulus (Pa of N/m2)
v = Poisson’s ratio (factor, dus geen eenheid)
I = Moment of inertia (m4)
J = Polair traagheidsmoment (m4)
c = Buitendste straal (m)
Q = Geen flauw idee (m3)
= Verdraaiingshoek (graden)
q = Shearflow (schuifspanningsverdeling) (N/m)
T = Torsie (N*m)
τ = Schuifspanning (Pa of N/m2)
G = Shear modulus of elasticity (Pa of N/m2)
Hoofdstuk 1:
P
σ gem=
A
σ gem = Gemiddelde trekspanning
P = Trekkracht
A = Oppervlakte
V
τ gem=
A
τ gem = Gemiddelde schuifspanning
V = Schuifkracht
A = Oppervlakte
Hoofdstuk 2:
'
∆ S −∆ S
ϵ gem =
∆S
ϵ gem = Gemiddelde rek
∆S = Originele lengte
∆ S' = Nieuwe lengte
Hoofdstuk 3:
- Spanning-rek diagrammen:
P
σ=
A
σ = Trekspanning
P = Trekkracht
A = Oppervlakte
δ
ε=
A
ε = Rek
, δ = Lengteverschil
A = Oppervlakte
- Wet van Hooke: (!Geld alleen als materiaal lineair elastisch is!)
σ =E∗ε
σ = Trekspanning
ε = Rek
E = Elasticiteitsmodulus
- Arbeid:
1
U= σ∗ε
2
- Als wet van Hooke geldt:
1 2
∗σ
2
U=
E
U = Rekenergie
δ δ'
ε long = ε lat =
L L
δ = Nieuwe lengte δ' = Nieuwe straal
ε long = Rek in axiale richting (horizontaal) ε lat = Rek in radiale richting (verticaal)
−ε lat
- Poisson’s ratio ¿v=
ε long
τ =G∗γ
E
G=
2(1+v )
G = Modulus of Rigidity
Hoodstuk 4:
P∗L
∑ δ= A∗E
L
P ( x ) dx
∫ A ( x ) E(x )
0
P = Normaalkracht (op doorsnede oppervlak)
L = Oorspronkelijke lengte
A = Oppervlak (van doorsnede)
E = Young’s Modulus van materiaal
δ = Verschil in lengte (positief; langer, negatief; korter)
2
A=π r
O=2 πr
δ T =α∗∆ T∗L
δ T = Verschil in lengte door temperatuurverandering
α = Linear coefficient of thermal expasion (materiaalafhankelijk)
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