10 curvastecnicasyconicas(2)(2)

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CURVAS TECNICAS Y CONICAS

Transcript of 10 curvastecnicasyconicas(2)(2)

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CURVAS TECNICAS Y CONICAS

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Rectificaciones

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Cicloide

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Epicicloide

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Hipocicloide

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CURVAS CONICAS I

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CURVAS CONICAS II

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Elementos de las cónicas I

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Elementos de las cónicas II

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Elipse

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Construcción de la Elipse

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Rectas tangentes a la Elipse

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Hipérbola

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Construcción de la Hipérbola

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Rectas tangentes a la Hipérbola

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Parábola

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Construcción de la Parábola

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Rectas tangentes a la Parábola

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Ejercicio de hipocicloide

Dibujar la hipocicloide, siendo el radio de la ruleta r=13 mm y la razón al radio de la directriz, vale r/R = 1/4

Para resolver este ejercicio se obtiene el valor de R de la relacioon r/R = 1/4 siendo r=13 mm,Resultando: R = 4.r = 4 .13 = 52 mmEl ángulo central (a) vale a = 360º.r/R = 360º.1/4 = 90ºCon estos datos se traza la Hipocicloide, completando el ejercicio trazando varias curvas, resultando 4 curva idéntica que dan la vuelta completa a la directriz y cierran el ciclo.

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Solución hipocicloide

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Dibujar la epicicloide, siendo el radio de la ruleta y la razón al radio R=25 mm, de la directriz, vale r/R = ½

Para resolver este ejercicio se obtiene el valor de r de la relacioon r/R = ½, siendo R=25 mm,Resultando: r = R/2 = 25/2 = 12.5 mmEl ángulo central (a) vale a = 360º r/R = 360º ½ = 180ºCon estos datos se traza la epicicloide, completando el ejercicio trazando otra Curva idéntica que cierra el ciclo.

Ejercicio de Epicicloide

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Solución epicicloide


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