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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	7	18	1,92	28	1350	114
Prawy ceownik	8,5	24	2,23	42,3	3600	248
	M.[kNcm]	a	P	u	v	d
	5400	35	80	-13	-9	0,4
Podpunkt A			Podpunkt B
Ix (c. ukladu) [cm4]=	1723,5649325747		Mx [kNcm]	4423,4210391606
Iy (c. ukladu) [cm4]=	7168,8493109531		My [kNcm]	3097,3127562957
Ixy (c. ukladu)[cm4]=	-658,6409650071		q(x,y)	2,8309324349	*y+	0,6921446681	*x
I1 [cm4]=	7247,3833766858		y=	-0,2444935314	*x
I2 [cm4]=	1645,0308668420
tg2f0=	0,2419124216
2f0=	13,5992942034			X[cm]	Y[cm]
f01=	96,7996471017		PKT.1	13,6964438122	-10,6426600284
f02=	6,7996471017		PKT.2	6,6964438122	-10,6426600284
			PKT.3	-17,7035561878	-1,1426600284
Sx [cm3]=	-517,2210000000		PKT.4	-17,7035561878	7,3573399716
Sy [cm3]=	-962,8600000000		PKT.5	13,6964438122	7,3573399716
x [cm]=	-13,69644381
y [cm]=	-7,3573399716	Naprezenia w punktach charakterystycznych
			s1=	-20,6487309114
KĄT NACHYLENIA OSI			s2=	-25,4937435882
a			s3=	-15,4882153586
-13,7389221715			s4	8,5747103381
			s5=	30,3080529169
Punkt C
			Wartości naprężeń w punktach charakterystycznych
U'	-4,3835561878
V'	-10,6426600284			s1	5,4541515905
N	80,0000000000			s2	6,1382904992
				s3	3,4753531188
Mx[kNcm]	-851,4128022760			s4	-1,0409654344
My[kNcm]	-350,6844950213			s5	-4,1098171105
Funkcja naprężeń
s(x,y)=	1,1379800853	+	-0,0977341298	*x +	-0,5313315945	*y
Oś zerowa
y=	2,1417512098	+	-0,1839418751	*x
x0	y0
11,6436304036	2,1417512098
Punkt D
Przyjmujemy 5 osi
y=	-10,6426600284
Y=Ax+B=	-0,3893442623	*x +	-8,0354380524
x=	-17,7035561878
y=	7,3573399716
x=	13,6964438122
	x	y
WSPÓŁRZEDNE PUKTOW RDZENIA
	u	v	x0	y0	ix2	iy2	ixy2
P1	-0,8803253834	2,3036799116	nieskończonosc	-10,6426600284	24,5172821134	101,9750968841	-9,3690037697
P2	3,7750792056	2,5971843870	-20,6383882608	-8,0354380524
P3	5,7601476112	-0,5292159197	-17,7035561878	nieskończonos
P4	1,2734227052	-3,3323568312	nieskończonos	7,3573399716
P5	-7,4453703664	0,6840464502	13,6964438122	nieskończonos
	© Sołtys & Dex