From 2c3f692beba4b154b7db73d8477b4fef7c159bef Mon Sep 17 00:00:00 2001 From: javalsai Date: Sat, 23 Nov 2024 21:09:00 +0100 Subject: [PATCH] =?UTF-8?q?add=20notes=20=F0=9F=91=8D?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- notes/math/U0_Exercises.html | 34 +++++ notes/math/U0_Exercises.md | 38 ++++++ notes/tech/Ensayos de Tracción.html | 138 +++++++++++++++++++++ notes/tech/Ensayos de Tracción.md | 63 ++++++++++ notes/tech/Pasted image 20241017201832.png | Bin 0 -> 73774 bytes notes/tech/Pasted image 20241017202224.png | Bin 0 -> 54523 bytes notes/tech/Pasted image 20241017205944.png | Bin 0 -> 238323 bytes notes/tech/Pasted image 20241017210008.png | Bin 0 -> 232226 bytes notes/tech/Pasted image 20241017210211.png | Bin 0 -> 19545 bytes notes/tech/Pasted image 20241017210225.png | Bin 0 -> 17657 bytes notes/tech/Pasted image 20241017211222.png | Bin 0 -> 51722 bytes notes/tech/Pasted image 20241017211235.png | Bin 0 -> 9583 bytes notes/tech/Pasted image 20241017214311.png | Bin 0 -> 106838 bytes notes/tech/Pasted image 20241017220307.png | Bin 0 -> 29555 bytes notes/tech/Pasted image 20241017220332.png | Bin 0 -> 71043 bytes 15 files changed, 273 insertions(+) create mode 100644 notes/math/U0_Exercises.html create mode 100644 notes/math/U0_Exercises.md create mode 100644 notes/tech/Ensayos de Tracción.html create mode 100644 notes/tech/Ensayos de Tracción.md create mode 100644 notes/tech/Pasted image 20241017201832.png create mode 100644 notes/tech/Pasted image 20241017202224.png create mode 100644 notes/tech/Pasted image 20241017205944.png create mode 100644 notes/tech/Pasted image 20241017210008.png create mode 100644 notes/tech/Pasted image 20241017210211.png create mode 100644 notes/tech/Pasted image 20241017210225.png create mode 100644 notes/tech/Pasted image 20241017211222.png create mode 100644 notes/tech/Pasted image 20241017211235.png create mode 100644 notes/tech/Pasted image 20241017214311.png create mode 100644 notes/tech/Pasted image 20241017220307.png create mode 100644 notes/tech/Pasted image 20241017220332.png diff --git a/notes/math/U0_Exercises.html b/notes/math/U0_Exercises.html new file mode 100644 index 0000000..7569cf4 --- /dev/null +++ b/notes/math/U0_Exercises.html @@ -0,0 +1,34 @@ + +

Exercise 86 page 30

+

Calcula el rango de estas matrices:

+ + diff --git a/notes/math/U0_Exercises.md b/notes/math/U0_Exercises.md new file mode 100644 index 0000000..2c89492 --- /dev/null +++ b/notes/math/U0_Exercises.md @@ -0,0 +1,38 @@ +# Exercise 86 page 30 +Calcula el rango de estas matrices: + +- Apartado A +$$ +A = \begin{pmatrix} +2 & 0 \\ +0 & 2 +\end{pmatrix} +$$ +Rango 2. + +- Apartado B +$$ +B = \begin{pmatrix} +1 & 2 \\ +1 & 2 +\end{pmatrix} +$$ +Rango 1. + +- Apartado C +$$ +C = \begin{pmatrix} +1 & 0 \\ +0 & 0 +\end{pmatrix} +$$ +Rango 1. + +- Apartado D +$$ +B = \begin{pmatrix} +0 & 1 \\ +2 & 0 +\end{pmatrix} +$$ +Rango 2. diff --git a/notes/tech/Ensayos de Tracción.html b/notes/tech/Ensayos de Tracción.html new file mode 100644 index 0000000..b6df7bc --- /dev/null +++ b/notes/tech/Ensayos de Tracción.html @@ -0,0 +1,138 @@ + +

Ley de Hooke: +σ=Eε\sigma=E\varepsilon +

+ +

Ensayos de Dureza

+

Ensayo de Brinell

+ ++++ + + + + + + + + +
+

Los grados Brinell se calculan como +HB=FSHB=\frac{F}{S} +(F=kpF = kp, +S=mm2S = mm^2), +siendo la superficie calculada con +S=πDfS=\pi D f.

+

Para calcular a +ff +en función de los diámetros de la bola y de la huella se puede usar +f=D±D2d22 +f = \frac{D \pm \sqrt{D^2 - d^2}}{2} +

+
Inconvenientes
+ +

Ensayo de Vickers

+ ++++ + + + + + + + + +
+

En este caso se utiliza como penetrador una pirámide de base cuadrada +cuyas caras laterales forman un ángulo de 136º. Lo que se hace es medir +la diagonal de la huella que deja el penetrador sobre el material. Se +usan fuerzas pequeñas +(1kp120kp1kp - 120kp), +normalmente +30kp30 kp.

+

Con respecto a Brinell: - Se puede usar con materiales duros y +blandos. - Los espesores de las piezas pueden ser pequeños.

+

Se calcula con +HV=1.854Fd2HV=\frac{1.854 \cdot F}{d^2} +(F=kpF = kp, +d=mmd = mm)

+

Ensayo de Rockwell

+ +

👍

+

Ensayo de Charpy o de +resiliencia

+ ++++ + + + + + + + + +
+

El punto medio se suele entallar en forma de V o de U, a esta +resistencia se la llama KCU o KCV respectivamente. Se calcula dividiendo +la energía consumida por el material en la rotura en sus posiciones +inicial y final. +W=P(h0hf)=PL(cosβcosα) +W = P(h_0-h_f) = P \cdot L \cdot (\cos\beta - \cos\alpha) +

+ + diff --git a/notes/tech/Ensayos de Tracción.md b/notes/tech/Ensayos de Tracción.md new file mode 100644 index 0000000..592cd27 --- /dev/null +++ b/notes/tech/Ensayos de Tracción.md @@ -0,0 +1,63 @@ +**Ley de Hooke:** $\sigma=E\varepsilon$ +![](Pasted image 20241017210008.png) +![](Pasted image 20241017201832.png) + +* $A = \frac{\Delta l}{l_0}$: Alargamiento de rotura ($\%$) +* $Z = \frac{\Delta S}{S_0}$: Estricción de rotura ($\%$) +* $w = \int{\sigma\ d\varepsilon}$: Trabajo realizado al alcanzar una tensión ($\frac{\text{deformación}}{\text{unidad de volumen}}$) +* $w = \int{F\ dl}$: Trabajo de deformación + +# Ensayos de Dureza +### Ensayo de Brinell +| ![](Pasted image 20241017210211.png) | ![](Pasted image 20241017210225.png) | +| ------------------------------------ | ------------------------------------ | +Los grados Brinell se calculan como $HB=\frac{F}{S}$ ($F = kp$, $S = mm^2$), siendo la superficie calculada con $S=\pi D f$. + +Para calcular a $f$ en función de los diámetros de la bola y de la huella se puede usar +$$ +f = \frac{D \pm \sqrt{D^2 - d^2}}{2} +$$ + +##### Inconvenientes +- No se pueden usar en piezas de espesores pequeños +- No se puede utilizar en superficies curvas +- Solo se puede usar en material de dureza baja (menor que el penetrador) + +### Ensayo de Vickers +| ![](Pasted image 20241017211222.png) | ![](Pasted image 20241017211235.png) | +| ------------------------------------ | ------------------------------------ | +En este caso se utiliza como penetrador una pirámide de base cuadrada cuyas caras laterales forman un ángulo de 136º. Lo que se hace es medir la diagonal de la huella que deja el penetrador sobre el material. Se usan fuerzas pequeñas ($1kp - 120kp$), normalmente $30 kp$. + +Con respecto a Brinell: +- Se puede usar con materiales duros y blandos. +- Los espesores de las piezas pueden ser pequeños. + +Se calcula con $HV=\frac{1.854 \cdot F}{d^2}$ ($F = kp$, $d = mm$) + +### Ensayo de Rockwell +* El ensayo de Brinell no permite medir la dureza de los aceros templados porque se deforman las bolas. Con el ensayo de Rockwell se mide la profundidad de la huella. +* Es fácil y rápido, pero poco preciso. +* Se puede usar en materiales: + * Duros: Para los que se usa un cono de diamante (HRC) + * Blandos: Para el que se usa una bola (HRB) + +![](Pasted image 20241017214311.png) +👍 + +### Ensayo de Charpy o de resiliencia + +| ![](Pasted image 20241017220307.png) | ![](Pasted image 20241017220332.png) | +| ------------------------------------ | ------------------------------------ | +El punto medio se suele entallar en forma de V o de U, a esta resistencia se la llama KCU o KCV respectivamente. Se calcula dividiendo la energía consumida por el material en la rotura en sus posiciones inicial y final. +$$ +W = P(h_0-h_f) = P \cdot L \cdot (\cos\beta - \cos\alpha) +$$ + +* $P$: peso del péndulo ($kg$) +* $L$: longitud del péndulo ($m$) +* $W$: energía de rotura ($kg \cdot m$) +* $\alpha$ y $\beta$: ángulos del péndulo +$$ +KCV/KCU\ (\tfrac{J}{m^2}) = \frac{W}{S_0} \longrightarrow \rho = \frac{\Delta E_P}{S} = \frac{m \cdot g \cdot (H - h)}{S} +$$ +* $S$/$S_0$: Sección en la zona de entrada (sin contar la entalladura) diff --git a/notes/tech/Pasted image 20241017201832.png b/notes/tech/Pasted image 20241017201832.png new file mode 100644 index 0000000000000000000000000000000000000000..328d222aa44313e1017e07b2f49c14622c00cb82 GIT binary patch literal 73774 zcmeAS@N?(olHy`uVBq!ia0y~yV7kk|z_^fuiGhK^D0Y4m1A_vCr;B4q#hf>LuNO;) z&-#CtcfmyAi5v|Heo10S6(%jx2%eUE^VBD+w<_0rvTYYWD_ULlzhm#syQ@~-x;6Li z%B|%(?2(gHBQ3j?TmyxQ`4|pzG@RIYx%%UuiZ~w4)0>zWy`C2@Y&!7n*uj^_Ebo6_ 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