Abdulkadir Cüneyt AYDIN
¾
¾
¾
¾
¾
¾
¾
¾
¾
¾
¾
¾
Hiperstatik 6LVWHPOHU7DQÕPYH*HQHO%LOJLOHU
Hiperstatik 6LVWHPOHULQ.XYYHW<|QWHPLøOHd|]P
Sabit Yük Hali
,VÕ'H÷LúLPL+DOL
Mesnet Çökmeleri Hali
Kuvvet Yönteminin Dolu Dövdeli 6UHNOL.LULúOHUH8\JXODQPDVÕ
.XYYHW<|QWHPLQLQ.DSDOÕdHUoHYHOHUH8\JXODQPDVÕ
'÷P1RNWDVÕ6DELW6LVWHPOHULQ&URVV<|QWHPLLOHo|]P
'÷P1RNWDVÕ6DELW6LVWHPOHULQ$oÕ<|QWHPLLOHo|]P
'÷P1RNWDVÕ+DUHNHWOL6LVWHPOHULQ$oÕ<|QWHPLøOH+HVDEÕ
Hiperstatik Sistemlerin Hareketli Yüklere Göre Çözümü
Muto <|QWHPLøOHÇerçevelerinYatay <NOHUH*|UH<DNODúÕN+HVDEÕ
.RQX%DúOÕNODUÕ
3
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
…
*LULú
Lewis P. FELTON and Richard B. NELSON
7. Matrix Structural Mechanics
0XVWDID.$5$'80$1YHùDQVHU'85$1
6. <DSÕ6WDWL÷L,-II
4
2
0*QKDQ$.62</8.RQXUDOS*ø5*ø1<ÕOPD]<89$$UGD.$5$%8/87
5. <DSÕ6WDWL÷LQGHg]HO.RQXODU
$]HU$UDVWXQR÷OX.$68029
4. <DSÕ6WDWL÷L6RQOX(OHPDQODU0HWRGX%LOJLVD\DU'HVWHNOL
Sistem Analizi
.RQXUDOS*ø5*ø10*QKDQ$.62</8.XWOX'$5,/0$=
3. <DSÕ6WDWL÷L-Hiperstatik Sistemler
øEUDKLP(.ø=
2. <DSÕ6WDWL÷L,,
$GQDQd$.,52ö/8YH(QYHUd(70(/ø
1. <DSÕ6WDWL÷L,,
<DUDUODQÕODELOHFHN%D]Õ.D\QDNODU
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
5
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
84
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
87
85
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
ÖRNEK: ùHNLOGHNLhiperstatik VLVWHPLQLQ017GL\DJUDPODUÕQÕ
X]DPDYHND\PDúHNLOGH÷LúWLUPHOHULQLLKPDOHGHUHNNXYYHWPHWRGX\OD
çiziniz.
88
86
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
ø]RVWDWLNHúOHQLNVLVWHPVHoLPL
91
89
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
X=0 yüklemesi
92
90
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
95
93
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
96
94
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Kontrol
99
97
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
100
98
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
ø]RVWDWLNHúOHQLNVLVWHPVHoLPL
ÖRNEK
103
101
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Ax
Ay
0R1R7R'L\DJUDPODUÕQÕQdL]LPL
By
ùHNLOGHYHULOHQKLSHUVWDWLNVLVWHPLQ017GL\DJUDPODUÕQÕNXYYHW
yöntemi ile çiziniz.
104
102
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
107
105
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
108
106
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
111
109
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
112
110
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
115
113
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
116
114
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
119
117
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
120
118
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
123
121
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
124
122
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
127
125
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Mesnet çökmeleri
6ÕFDNOÕNGH÷LúLPL
øo.XYYHWOHULQøúL 'Õú.XYYHWOHULQøúL
128
126
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
131
129
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
132
130
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
135
133
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
136
134
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
139
137
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
140
138
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
143
141
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
144
142
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
147
145
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
148
146
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
151
149
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
152
150
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
155
153
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
172
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
173
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
174
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
145.2/I
26.4
145.2/I 108/I
26.4 18
2
6/I
18
108/I
x2=-9,67
[6.6/1.2I]x1+2[(6.6/1.2I)+(6/I)]x2+[6/I]x3+[145.2/I]+[108/I]=0
5.5(-2.8)+2[5.5+6] x2+6(-2.56)+253.2=0
-30.76+23x2+253,2=0
x1= -2.8
6.6/1.2I
<N7HULPOHUL<D\ÕOÕ\NLoLQ/ 5 TO2/4=18
6 t luk iki tekil yük için L=R=3(2.2)6(1-2.2/6.6)
L=R=26.4
x
x3=-2,56
227
225
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
228
226
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
231
229
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
4m
24/I
4
6/I
24/I 8/I
4 2
4/I
8/I
2
(1 mesnedindeki dönme 1/800 rad –saat yönünde )
12x1+6x2+24=0
6x1+20x2+0+32=0 => x2=-1.176 ve x1=-1.412
0.x1’+2[(6/I)+0]x1+(6/I)x2+(24/I)+(0)=0
(6/I)x1+2[(6/I)+(4/I)] x2 +(4/I)x3+(24/I)+(8/I)=0
0
0
0
<N7HULPOHUL<D\ÕOÕ\NLoLQ/ 5 >@TO2=2
1 t luk iki tekil yük için L=R=3(2)1(1-2/6) =4
232
230
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
235
233
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
,Z<d>7zm<>Z'PZ
,7WZ^dd7<^7^dD>Z7E,^/
234
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
239
237
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
240
238
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
243
241
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
244
242
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
247
245
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
248
246
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
251
249
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
252
^mZ<>7<7Z7b>Z7Ed^7Z7'7>Z7E7EKZ7Ed>Z/s>E>Z/
250
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Örnek: ŵǀĞŶŬĞƐŝƚůĞƌŝŶĚĞŬŝŵĂŬƐŝŵƵŵŵŽŵĞŶƚĚĞŒĞƌůĞƌŝŶŝ;ŵĂŬƐ͘Dm ǀĞ
ŵĂŬƐ͘DŶͿďƵůƵŶƵnj͘
255
253
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
256
254
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
257
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
gUQHNùHNLOGHNLVLVWHPLQ071GL\DJUDPODUÕQÕoL]LQL]
280
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
283
281
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
284
282
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
287
285
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
3I
288
286
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
291
gUQHNùHNLOGHNLVLVWHPLQH÷LOPHPRPHQWLGL\DJUDPÕQÕ&URV\|QWHPLLOHoL]LQL]
289
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
292
290
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
293
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
294
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
299
297
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Abdulkadir Cüneyt AYDIN
Download

Ya ra rlanılabilecek B azı K a ynaklar K o nu