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Overview

Projekt 1
Projekt 2
Projekt 3

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Sheet 1: Projekt 1

alfa	42		cos(2L)	cos(2B)	cos(2G)
beta	54
gamma	87		0,10453	-0,30902	-0,99452
e alfa	2,1
e beta	-0,4
e gamma	-0,5		1+cos(kat)
sigma x1	48,9		1,10453	0,69098	0,00548
sigma y1	44,5
tal x1y1	22,9		1-cos(kat)
fi	76		0,89547	1,30902	1,99452
E	2,1
mi	0,3		sin(2*kat)
			0,99452	0,95106	0,10453
SKLADOWE: ex;ey;gamma_xy;
			2*e(kat)
		alfa	4,2
		beta	-0,8
		gamma	-1
	1,10453	0,89547	0,99452
W =	0,69098	1,30902	0,95106	=	-0,64056
	0,00548	1,99452	0,10453
	4,20000	0,89547	0,99452
W e x =	-0,80000	1,30902	0,95106	=	-8,45410
	-1,00000	1,99452	0,10453
	1,10453	4,20000	0,99452
W e y =	0,69098	-0,80000	0,95106	=	-0,00621
	0,00548	-1,00000	0,10453
	1,10453	0,89547	4,20000
W gamma xy =	0,69098	1,30902	-0,80000	=	6,68963
	0,00548	1,99452	-1,00000
		e x =	13,19790
		e y =	0,00969
		gamma xy =	-10,44334
tg 2*fi0 =	-0,79187		fi 01	-19,18732
2*fi 0 =	-38,37463		fi 02	70,81268
(ex+ey)/2	6,60379		e1 =	15,01498
(ex-ey)/2	6,59410		e2 =	-1,80739
	43,48221
(e x - e y)*cos 2*fi	10,33914
gamma xy /2	-5,22167	SPRAWDZENIE		13,20759
	70,74806			=
© Sołtys & Dex & KaRoL				13,20759
G	0,80769		sigma `x	304,63398
E/(1-V2)	2,30769		sigma `y	91,59368
V kwadrat	0,09000		tal `xy	-84,35007
fi	76
fi01	-76		-1,32645	cos 2*fi01=	0,35904
fi02	14		0,24435	cos 2*fi02=	-0,96261
				sin 2*fi01=	-0,93332
				sin 2*fi01=	0,27091
sigma ``x =	34,00662		sigma ``y =	59,39338
tal ``xy =	-19,18666		tal ``xy =	19,18666
		SPRAWDZENIE		93,4
				=
				93,4
sigma x =		338,64060
sigma y =		150,98707
tal xy =		-103,53673
(sigma x + sigma y)/2		244,81383
(sigma x - sigma y)/2		93,82676	(sigma x - sigma y)/2^2		8803,46160
tal xy ^2		10719,85444
sigma 1		384,53969
sigma 2		105,08797
tg2fi		-1,10349	SPRAWDZENIE		489,62766
2*fi		-47,81659			=
fi 1		-23,90829			489,62766
fi 2		66,09171
(sigma x - sigma y)*cos2*fi		126,01048
© Sołtys & Dex & KaRoL

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Sheet 2: Projekt 2

Px=	190	kN
Py=	-250	kN
x1=	310	cm	x2=	-410	cm	x3=	-190	cm	x4=	440	cm
y1=	240	cm	y2=	310	cm	y3=	-390	cm	y4=	-250	cm
A1=	20	cm^2	A2=	12	cm^2	A3=	13	cm^2	A4=	14	cm^2
E=	2	*10^5 Mpa
	20000	[kN/cm^2]
			L1=	392,04592	cm		sin φ1=	0,61217		E*A1/L1	-1020,28865
							cos φ1=	0,79072
			L2=	514,00389	cm		sin φ 2=	0,60311		E*A2/l2	-466,92254
							cos φ 2=	-0,79766
			L3=	433,82024	cm		sin φ 3=	-0,89899		E*A3/l3	-599,32658
							cos φ 3=	-0,43797
			L4=	506,06324	cm		sin φ 4=	-0,49401		E*A4/l4	-553,29054
							cos φ 4=	0,86946
	Wg=	-1468,23740460582	-267,579751018286	=	1648574,66134
		-267,579751018286	-1171,59090151197
							u=	0,17560	cm
	Wu=	-190	-267,579751018286	=	289497,20904
		250	-1171,59090151197				v=	-0,25349	cm
	Wv=	-1468,23740460582	-190	=	-417899,50384
		-267,579751018286	250
	Δ l1=	-0,01633				S1=	16,65719	[kN]		б 1=	0,83286	MPa
	Δ l2=	-0,29296				S2=	136,78746	[kN]		б 2=	11,39896	MPa
	Δ l3=	0,15098				S3=	-90,48440	[kN]		б 3=	-6,96034	MPa
	Δ l4=	0,27791				S4=	-153,76368	[kN]		б 4=	-10,98312	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	9,5	28	2,53	53,3	6280	399
Prawy ceownik	8,5	24	2,23	42,3	3600	248
	M.[kNcm]	a	P	u	v	d
	6200	53	130	13	13	1,2
Podpunkt A			Podpunkt B
Ix (c. ukladu) [cm4]=	7937,1871423745		Mx [kNcm]	3731,2531435427
Iy (c. ukladu) [cm4]=	9834,3529499059		My [kNcm]	4951,5401622932
Ixy (c. ukladu)[cm4]=	-2867,5955691527		q(x,y)	0,7287779350	*y+	0,7159983555	*x
I1 [cm4]=	11906,1862216929		y=	-0,9824643710	*x
I2 [cm4]=	5865,3538705874
tg2f0=	3,0230310474
2f0=	71,6961036459			X[cm]	Y[cm]
f01=	125,8480518229		PKT.1	13,9300313808	-17,4202824268
f02=	35,8480518229		PKT.2	4,4300313808	-17,4202824268
			PKT.3	-20,7699686192	2,0797175732
Sx [cm3]=	-1011,4210000000		PKT.4	-20,7699686192	10,5797175732
Sy [cm3]=	-1331,7110000000		PKT.5	13,9300313808	10,5797175732
x [cm]=	-13,93003138
y [cm]=	-10,5797175732	Naprezenia w punktach charakterystycznych
			s1=	-2,7216378933
KĄT NACHYLENIA OSI			s2=	-9,5236222706
a			s3=	-13,3556110969
-44,4932109017			s4	-7,1609986494
			s5=	17,6841442866
Punkt C
			Wartości naprężeń w punktach charakterystycznych
U'	19,9600313808
V'	9,5797175732			s1	1,2691642303
N	130,0000000000			s2	-2,0183909896
				s3	-5,2414588182
Mx[kNcm]	1245,3632845188			s4	-2,8450669104
My[kNcm]	2594,8040794979			s5	9,1631611031
Funkcja naprężeń
s(x,y)=	1,3598326360	+	0,3460584442	*x +	0,2819284597	*y
Oś zerowa
y=	-4,8233251699	+	-1,2274689987	*x
x0	y0
-3,9294883821	-4,8233251699
Punkt D
Przyjmujemy 5 osi
y=	-17,4202824268
Y=Ax+B=	-0,7738095238	*x +	-13,9922819536
x=	-20,7699686192
y=	10,5797175732
x=	13,9300313808
	x	y
WSPÓŁRZEDNE PUKTOW RDZENIA
	u	v	x0	y0	ix2	iy2	ixy2
P1	-1,7218876719	4,7659944928	nieskończonosc	-17,4202824268	83,0249701085	102,8698007312	-29,9957695518
P2	3,5452303013	4,2747822088	-18,0823336015	-13,9922819536
P3	4,9528144513	-1,4441894498	-20,7699686192	nieskończonos
P4	2,8352145834	-7,8475601578	nieskończonos	10,5797175732
P5	-7,3847501071	2,1533167250	13,9300313808	nieskończonos
	© Sołtys & Dex