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Overview

Projekt 1
Projekt 2
Projekt 3

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Sheet 1: Projekt 1

alfa	37		cos(2L)	cos(2B)	cos(2G)
beta	61
gamma	79		0,27564	-0,52992	-0,92718
e alfa	-1,2
e beta	1,2
e gamma	0,5		1+cos(kat)
sigma x1	56,8		1,27564	0,47008	0,07282
sigma y1	37,7
tal x1y1	25,1		1-cos(kat)
fi	69		0,72436	1,52992	1,92718
E	2,1
mi	0,3		sin(2*kat)
			0,96126	0,84805	0,37461
SKLADOWE: ex;ey;gamma_xy;
			2*e(kat)
		alfa	-2,4
		beta	2,4
		gamma	1
	1,27564	0,72436	0,96126
W =	0,47008	1,52992	0,84805	=	-0,67282
	0,07282	1,92718	0,37461
	-2,40000	0,72436	0,96126
W e x =	2,40000	1,52992	0,84805	=	5,48541
	1,00000	1,92718	0,37461
	1,27564	-2,40000	0,96126
W e y =	0,47008	2,40000	0,84805	=	0,62337
	0,07282	1,00000	0,37461
	1,27564	0,72436	-2,40000
W gamma xy =	0,47008	1,52992	2,40000	=	-6,06930
	0,07282	1,92718	1,00000
		e x =	-8,15291
		e y =	-0,92651
		gamma xy =	9,02074
tg 2*fi0 =	-1,24830		fi 01	64,34888
2*fi 0 =	-51,30223		fi 02	-25,65112
(ex+ey)/2	-4,53971		e1 =	1,23944
(ex-ey)/2	-3,61320		e2 =	-10,31886
	13,05519
(e x - e y)*cos 2*fi	-4,51803
gamma xy /2	4,51037	SPRAWDZENIE		-9,07942
	33,39861			=
© Sołtys & Dex & KaRoL				-9,07942
G	0,80769		sigma `x	-194,55838
E/(1-V2)	2,30769		sigma `y	-77,82432
V kwadrat	0,09000		tal `xy	72,85979
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 =	23,35779		sigma ``y =	71,14221
tal ``xy =	-12,26274		tal ``xy =	12,26274
		SPRAWDZENIE		94,5
				=
				94,5
sigma x =		-171,20060
sigma y =		-6,68211
tal xy =		60,59705
(sigma x + sigma y)/2		-88,94135
(sigma x - sigma y)/2		-82,25924	(sigma x - sigma y)/2^2		6766,58325
tal xy ^2		3672,00253
sigma 1		13,22805
sigma 2		-191,11075
tg2fi		-0,73666	SPRAWDZENIE		-177,88270
2*fi		-36,37757			=
fi 1		71,81122			-177,88270
fi 2		-18,18878
(sigma x - sigma y)*cos2*fi		-132,45812
© Sołtys & Dex & KaRoL

---

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	8,5	24	2,23	42,3	3600	248
Prawy ceownik	7	18	1,92	28	1350	114
	M.[kNcm]	a	P	u	v	d
	5800	62	150	-9	9	1,2
Podpunkt A			Podpunkt B
Ix (c. ukladu) [cm4]=	4520,7802583215		Mx [kNcm]	2722,9350641582
Iy (c. ukladu) [cm4]=	4201,0669069701		My [kNcm]	5121,0960385818
Ixy (c. ukladu)[cm4]=	-1449,1732096728		q(x,y)	1,1165398138	*y+	1,6041533671	*x
I1 [cm4]=	5818,8869389726		y=	-1,4367184647	*x
I2 [cm4]=	2902,9602263191
tg2f0=	-9,0654531852
2f0=	-83,7052160797			X[cm]	Y[cm]
f01=	-41,8526080398		PKT.1	11,2207823613	-14,7561877667
f02=	48,1473919602		PKT.2	2,7207823613	-14,7561877667
			PKT.3	-16,4792176387	2,2438122333
Sx [cm3]=	-649,8400000000		PKT.4	-16,4792176387	9,2438122333
Sy [cm3]=	-788,8210000000		PKT.5	11,2207823613	9,2438122333
x [cm]=	-11,22078236
y [cm]=	-9,2438122333	Naprezenia w punktach charakterystycznych
			s1=	1,5239846647
KĄT NACHYLENIA OSI			s2=	-12,1113189558
a			s3=	-23,9298867694
-55,1609025099			s4	-16,1141080726
			s5=	28,3209401967
Punkt C
			Wartości naprężeń w punktach charakterystycznych
U'	-4,0492176387
V'	6,2438122333			s1	-1,4568826092
N	150,0000000000			s2	-0,7581491565
				s3	3,8940936500
Mx[kNcm]	936,5718349929			s4	5,1598283970
My[kNcm]	-607,3826458037			s5	2,8827793804
Funkcja naprężeń
s(x,y)=	2,1337126600	+	-0,0822039356	*x +	0,1808192496	*y
Oś zerowa
y=	-11,8002517162	+	0,4546193827	*x
x0	y0
25,9563321884	-11,8002517162
Punkt D
Przyjmujemy 5 osi
y=	-14,7561877667
Y=Ax+B=	-0,8854166667	*x +	-12,3471617176
x=	-16,4792176387
y=	9,2438122333
x=	11,2207823613
	x	y
WSPÓŁRZEDNE PUKTOW RDZENIA
	u	v	x0	y0	ix2	iy2	ixy2
P1	-1,3969819635	4,3579666252	nieskończonosc	-14,7561877667	64,3069738026	59,7591309669	-20,6141281604
P2	2,6157916387	3,7299974046	-13,9450297046	-12,3471617176
P3	3,6263330139	-1,2509166765	-16,4792176387	nieskończonos
P4	2,2300461801	-6,9567589842	nieskończonos	9,2438122333
P5	-5,3257543942	1,8371382223	11,2207823613	nieskończonos
	© Sołtys & Dex