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Werktuigbouw formules: Stijfheid en Sterkte formuleblad
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Stijfheid en Sterkte formuleblad

Stijfheid en Sterkte - Vergeet-mij-nietjes


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theta_B = {M l}/{EI} nu_B = {M l^2}/{2EI}
theta_B = {P l^2}/{2EI} nu_B = {P l^3}/{3EI}
theta_B = {q l^3}/{6EI} nu_B = {q l^4}/{8EI}

Trek/Druk

sigma = varepsilon . E met sigma = P/A delim{[}{N/{mm^2} = MPa}{]}
varepsilon = {Delta l}/l = delta/l
Delta l = delta = {P l}/{E A}
EA: rekstijfheid (Newton)

Oppervlakte traagheidsmoment

I_x = int{}{}{y^2} dA~~~delim{[}{L^4}{]}
I_y = int{}{}{x^2} dA
I_y = I_y_c + {x_0}^2 A
I_x = I_x_c + {y_0}^2 A
r_x = sqrt{I_x/A} ~~ r_y = sqrt{I_y/A} ~~ r_p = sqrt{I_p/A}
Voor een rechthoek geldt:
I_x_c = 1/12 b h^3 ~~ I_x_b = 1/3 b h^3

Polair traagheidsmoment

I_p = int{}{}{x^2 dA} + int{}{}{y^2 dA}~~~delim{[}{L^4}{]}
Voor een cirkel geldt:
I_p = pi/2 r^4 = pi/32 d^4