Tienda en línea

Contacte al equipo de ventas

Prueba gratuita de 90 días

Volver a las fórmulas

0x

002100

24-09-2025

KB 1988 | Comprobaciones de secciones para esfuerzos cortantes y normales

V_{f i, z, E d} = (3 + 0, 3 * 5) * 2, 0 / 2 = 4, 5 k N

M_{f i, y, E d} = (3 + 0, 3 * 5) * 2, 0^{2} / 8 = 2, 25 k N m

S c h u b s p a n n u n g s n a c h w e i s :

S c h u b s p a n n u n g τ_{f i, z, E d} = \frac{V_{f i, z, E d} * S_{y}}{I_{y} * t_{w}} = \frac{4, 5 k N * 86, 77 c m^{3}}{1033, 34 c m^{4} * 0, 55 c m} = 0, 687 \frac{k N}{c m^{2}}

A u s n u t z u n g s g r a d μ_{0} = \frac{τ_{f i, z, E d}}{τ_{f i, R d, 0}} = \frac{0, 687 \frac{k N}{c m^{2}}}{\frac{23, 5 \frac{k N}{c m^{2}}}{1, 0 * \sqrt{3}}} = 0, 0506

0, 013 < μ_{0} = 0, 0506 < 1, 0

k r i t i s c h e B a u t e i l t e m p e r a t u r :

θ_{a, c r} = 39, 19 * \ln (\frac{1}{0, 9674 * {0, 0506}^{3, 833}} - 1) + 482 = 931, 4 ° C

N o r m a l s p a n n u n g s n a c h w e i s :

N o r m a l s p a n n u n g σ_{f i, x, E d} = \frac{M_{f i, y, E d}}{W_{f i, R d, 0}} = \frac{225, 0 k N c m}{155, 4 c m^{3}} = 1, 45 \frac{k N}{c m^{2}}

A u s n u t z u n g s g r a d μ_{0} = \frac{σ_{f i, x, E d}}{σ_{f i, R d, 0}} = \frac{1, 45 \frac{k N}{c m^{2}}}{\frac{23, 5 \frac{k N}{c m^{2}}}{1, 0}} = 0, 0616

0, 013 < μ_{0} = 0, 0616 < 1, 0

k r i t i s c h e B a u t e i l t e m p e r a t u r :

θ_{a, c r} = 39, 19 * \ln (\frac{1}{0, 9674 * {0, 0616}^{3, 833}} - 1) + 482 = 901, 9 ° C

M a ß g e b e n d i s t d i e m i n i m a l e k r i t i s c h e B a u t e i l t e m p e r a t u r :

m i n . θ_{a, c r} = m i n . \{931, 4; 901, 9\} = 901, 9 ° C

;