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Overview

Projekt 1
Projekt 2
Projekt 3

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Sheet 1: Projekt 1

alfa	53		cos(2L)	cos(2B)	cos(2G)
beta	71
gamma	131		-0,27564	-0,78801	-0,13917
e alfa	-1,2
e beta	1
e gamma	-0,6		1+cos(kat)
sigma x1	8,1		0,72436	0,21199	0,86083
sigma y1	34,7
tal x1y1	8,8		1-cos(kat)
fi	69		1,27564	1,78801	1,13917
E	2,1
mi	0,3		sin(2*kat)
			0,96126	0,61566	-0,99027
SKLADOWE: ex;ey;gamma_xy;
			2*e(kat)
		alfa	-2,4
		beta	2
		gamma	-1,2
	0,72436	1,27564	0,96126
W =	0,21199	1,78801	0,61566	=	-2,09415
	0,86083	1,13917	-0,99027
	-2,40000	1,27564	0,96126
W e x =	2,00000	1,78801	0,61566	=	11,76929
	-1,20000	1,13917	-0,99027
	0,72436	-2,40000	0,96126
W e y =	0,21199	2,00000	0,61566	=	-4,57473
	0,86083	-1,20000	-0,99027
	0,72436	1,27564	-2,40000
W gamma xy =	0,21199	1,78801	2,00000	=	2,43058
	0,86083	1,13917	-1,20000
		e x =	-5,62008
		e y =	2,18453
		gamma xy =	-1,16065
tg 2*fi0 =	0,14871		fi 01	4,22934
2*fi 0 =	8,45868		fi 02	94,22934
(ex+ey)/2	-1,71778		e1 =	2,22745
(ex-ey)/2	-3,90231		e2 =	-5,66300
	15,22801
gamma xy /2	-0,58033	SPRAWDZENIE		-3,43555
	15,56479			=
© Sołtys & Dex				-3,43555
G	0,80769		sigma `x	-114,57055
E/(1-V2)	2,30769		sigma `y	11,50401
V kwadrat	0,09000		tal `xy	-9,37451
fi	69
fi01	-69		-1,20428	cos 2*fi01=	0,97365
fi02	21		0,36652	cos 2*fi02=	-0,39999
				sin 2*fi01=	0,22805
				sin 2*fi01=	-0,91652
sigma ``x =	25,39548		sigma ``y =	17,40452
tal ``xy =	-15,43911		tal ``xy =	15,43911
		SPRAWDZENIE		42,8
				=
				42,8
sigma x =		-89,17508
sigma y =		28,90854
tal xy =		-24,81363
(sigma x + sigma y)/2		-30,13327
(sigma x - sigma y)/2		-59,04181	(sigma x - sigma y)/2^2		3485,93498
tal xy ^2		615,71603
sigma 1		33,91086
sigma 2		-94,17740
tg2fi		0,42027	SPRAWDZENIE		-60,26654
2*fi		22,79566			=
fi 1		11,39783			-60,26654
fi 2		101,39783
© Sołtys & Dex

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Sheet 2: Projekt 2

Px=	148	kN
Py=	-118	kN
x1=	178	cm	x2=	-201	cm	x3=	-189	cm	x4=	159	cm
y1=	160	cm	y2=	138	cm	y3=	-110	cm	y4=	-178	cm
A1=	10	cm^2	A2=	13	cm^2	A3=	22	cm^2	A4=	13	cm^2
E=	2	*10^5 Mpa
	20000	[kN/cm^2]
			L1=	239,34076	cm		sin φ1=	0,66850		E*A1/L1	-835,62866
							cos φ1=	0,74371
			L2=	243,81345	cm		sin φ 2=	0,56601		E*A2/l2	-1066,38906
							cos φ 2=	-0,82440
			L3=	218,68013	cm		sin φ 3=	-0,50302		E*A3/l3	-2012,07122
							cos φ 3=	-0,86428
			L4=	238,67342	cm		sin φ 4=	-0,74579		E*A4/l4	-1089,35466
							cos φ 4=	0,66618
	Wg=	-3173,36386617876	-251,371560203033	=	5744321,27446
		-251,371560203033	-1830,07974523054
							u=	0,05231	cm
	Wu=	-148	-251,371560203033	=	300513,64640
		118	-1830,07974523054				v=	-0,07166	cm
	Wv=	-3173,36386617876	-148	=	-411659,92712
		-251,371560203033	118
	Δ l1=	-0,00900				S1=	7,52097	[kN]		б 1=	0,75210	MPa
	Δ l2=	-0,08369				S2=	89,24677	[kN]		б 2=	6,86514	MPa
	Δ l3=	-0,00917				S3=	18,44335	[kN]		б 3=	0,83833	MPa
	Δ l4=	0,08830				S4=	-96,18712	[kN]		б 4=	-7,39901	MPa
		© Sołtys & Dex

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Sheet 3: Projekt 3

DANE
	s[cm]	h[cm]	e[cm]	A[cm2]	Ix[cm4]	Iy[cm4]
Lewy ceownik	9	26	2,36	48,3	4820	317
Prawy ceownik	8	22	2,14	37,4	2690	197
	M.[kNcm]	a	P	u	v	d
	6000	54	170	9	7	1
Podpunkt A			Podpunkt B
Ix (c. ukladu) [cm4]=	6091,56907		Mx [kNcm]	3526,71151
Iy (c. ukladu) [cm4]=	7353,57113		My [kNcm]	4854,10197
Ixy (c. ukladu)[cm4]=	-2161,17812		q(x,y)	0,90780	*y+	0,92690	*x
I1 [cm4]=	8973,98147		y=	-1,02104	*x
I2 [cm4]=	4471,15872
tg2f0=	3,42500
2f0=	73,72373			X[cm]	Y[cm]
f01=	126,86187		PKT.1	12,90679	-16,11594
f02=	36,86187		PKT.2	3,90679	-16,11594
			PKT.3	-19,09321	1,88406
Sx [cm3]=	-847,06400		PKT.4	-19,09321	9,88406
Sy [cm3]=	-1106,11200		PKT.5	12,90679	9,88406
x [cm]=	-12,90679
y [cm]=	-9,88406	Naprezenia w punktach charakterystycznych
			s1=	-2,66671
KĄT NACHYLENIA OSI			s2=	-11,00879
a			s3=	-15,98712
-45,59651			s4	-8,72475
			s5=	20,93599
Punkt C
			Wartości naprężeń w punktach charakterystycznych
U'	15,26679
V'	3,88406			s1	3,32515
N	170,00000			s2	-0,54113
				s3	-5,72716
Mx[kNcm]	660,29032			s4	-3,64073
My[kNcm]	2595,35449			s5	10,10605
Funkcja naprężeń
s(x,y)=	1,98366	+	0,42959	*x +	0,26080	*y
Oś zerowa
y=	-7,60596	+	-1,64717	*x
x0	y0
-4,61761	-7,60596
Punkt D
Przyjmujemy 5 osi
y=	-16,11594
Y=Ax+B=	-0,78261	*x +	-13,05845
x=	-19,09321
y=	9,88406
x=	12,90679
	x	y
WSPÓŁRZEDNE PUKTOW RDZENIA
	u	v	x0	y0	ix2	iy2	ixy2
P1	-1,56478	4,41055	nieskończonosc	-16,11594	71,08015	85,80596	-25,21795
P2	3,21130	3,93189	-16,68580	-13,05845
P3	4,49406	-1,32078	-19,09321	nieskończonos
P4	2,55138	-7,19139	nieskończonos	9,88406
P5	-6,64813	1,95385	12,90679	nieskończonos
	© Sołtys & Dex