2005

1 : : ) , Q, N (3.5 ) ) 7 (1.5 ) 20 oT = C: 8 22 10E kN m= 480000, cm= , 510 / oTa C

=I

:

8 22 10E kN m= 4 380000 0.8 10, 4cm m= = 2160000, I kNm= I E . , . . , ( ).

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1

2005

:

1.5tan 26.5653.0

o = =

7 3 30 6 130 3 45 6 0 110M V V= = = kN 7 70 45 131 45 110 0 110yF V V= + = = kN

#8:

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2

1 20xF S= = S 30 90yF S= = kN

#9:

4 50xF S= = S

4 40 2 sin 130 145.34yF S S= = = kN 4 5 145.34S S kN= = ()

#7 ( #8):

1 10 145.34cos 0 130xF S S k= + = N 1 2 130S S kN= = ()

: 0 145.34sin 64.9979 65yF k= = N kN

2005

:

1 20 80 cos 45 0o

xF V H= + = (1) 1 2 1 20 sin 45 30 10 110 0 sin 45 410

o oyF V V V V= + = + = (2) 1 2 20 8 80 3 30 10 5 110 10 0 355M V V= = = kN (3)

(2) (3) : 1 77.78V k= N (4)

(1) (4) : 2 135H k= N

: 2 0 80 3 77.78cos45 8 110 2 30 10 3 0.0098764 0

oM = + + =

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3

2005

[]

245 33.75

8ql

= , 256 93.75

8ql

= ,

267 15.00

8ql

=

[Q]

#5: 90 35 55 77.78sin 45o = = #6:

2185 170 355kN V+ = =

[]

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4

2005

(...) . : () 0T() ,

T0T

() . () ( ) .

71 1

1 i ii T T i ii ii i

M T Si TR M dx Ma dx Na Tdx S l S a dTdxEI h E A

= =

+ = + + + +

1

ii

i i i

SS ilE A=

1i T

iS a dTdx

=

. , #7 . ,

TTMa dh

x , . :

210 cos45oxF V H= = 0 1 20 sin 45 1oyF V V= + = 0

2 21 0 8 1 10 0 1.25M V V= = = kN : 1 0.35V k= N 2 0.25H k= N

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5

2005

[ M ]

[ N ]

: 71 i iR + 0

TMM dx Na TdxEI

=

= + ,

( ) ( )

( ) ( ) ( )

[ ] 3

15 1.25 2 248.75 6851 6

1 12 2 2 125 280 3 405 0.756 6

1 1433.229131231.77083 353.3333 151.8750 8.95768 10160000

MM dxEI EI

EI

=

+ +

= + = =

( )5 410 20 3 2 0.35 5 0.25 3 1.25 2.030151519 10TNa Tdx = + + = : 3 47 71 8.95768 10 2.030151519 10 8.075 0.81mm cm

= =

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6

2005

2 : M, Q, N (2.5 )

: (46) (47) . #4 (24) (45). #6 #7 P. #6:

62 0S > 67 0S >

(: 62 75S S= #7)

#4:

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7

42 45S S=

(26), (57) (67) , (46) (47) . #5:

35 0S > ,

45 57 1 35 2cos cos 0S S S = +