第12章 不静定梁のたわみ その2 ポイント：一端固定、一端ピ …

1 12 -1 12 SPACE SPACE 12-1 4 44()zwdwEIP xdx= ()wPx wP 4 313zwdwEIP x Cdx=+ 22122()2wzPdwEIM xxC x Cdx= =++ 3212362wzPCdwEIxxC x Cdx=+++ ()43 212342462wzPCCEI w xxxxC x C=++++ 4 4 (1 2 . 1) (1 2 . 2 ) (1 2 . 4 ) (1 2 . 5) (1 2.)

2 3) 12-1 12 -2 12 SPACE SPACE 0(0) 0;0xdwwdx=== () 0wL= ( ) 22()0zxLdwMLEIdx== = ( ) ( ) ( ) 3040(0)0zxzdwEICdxEI wC===== 2 ( ) ( ) 43 212111()02462zwEI w LP LC LC L=++= ( ) 212()02wPMLL CL C= = ( ) ( ) 12,CC 122588wwPLCPLC= = (1 2 . 6 ) ( ) (1 2 . 9 ) ( ) ( ) (1 2 . 1 3) (1 2 . 7 ) (1 2 . 8) 12 -3 12 SPACE SPACE 22222225()28 84( )5( ) 14( ) 1 ( ) 1885()(85)88wwwzwwwwwPPPdwMxEIxLxLdxPLPL xxx xLLL LPLxQxPx PLL= = + = + = = += + ( ) x 2 12-2 2(0)8() 0wPLMML= = /4xL= 5()(85) 0;88wPLxQxxLL= += = ( ) ( ) 222max5559()4() 5()188 8 8 128wwPLLMMPL == + = ( ) ( ) (1 2.

3 1 6 ) ( ) ( ) ( ) 12-2 28wPL 58L2max9128wMPL=58L38L58wPL38wPL 12 -4 12 SPACE SPACE5(0)83()8wwQPLQLPL== 12-2 253(0);( )88(0);08awb wwabRQPLR QL PLPLMMM=== == == 12-3 ( ) 4432()2( ) 5( ) 3( )48wzPLxxxwxEILLL = + ( ) 332( )8( )15( )6( )48wzPLdwxxxxdxEILLL == + 3215338( )15( )6( )0/0, /16xxxxL xLLLL += == 0x= xL> (1 2 . 1 9 ) (1 2 . 2 0 ) ( ) ( ) ( ) 58awRPL=38awRPL=28waPLM= 12-3 12-4 == == 12 -5 12 SPACE SPACE ( ) ( ) LEIEI== = 12-1 12-5 12-5 X 2 1, 323115232 22 248zzzLPL PLLPLEIEIEI =+ =+ = 323zXLEI = 12-5 9 ( ) 33zPLEI = 22zPLEI = (1 2.

4 2 5) ( ) 12-6 2 P 1X 2 (a) (b)1 2 XP 12-5 Q(L/2) ( ) L/2PL/2 EIXx z y P2L2LX12 -6 12 SPACE SPACE 120 += ( ) ( ) X 335483516zzPLXLEIEIXP== 12-6 2 2 1 2 12333553248167768zzzPLLPEIEIPLEI =+ = = 12-6 2 ( ) ( ) ( ) 9 ( ) 32323311(3() ())62231()648548zzzXLEIXLEILXEI = = = X=5P/16 P5PL/16 X=5P/16 PX=5P/16 P 1X 2PL/2 +P -5P/16 (a) ( ) 1 2 XP P5PL/32 3PL/16 P-5P/16 +11P/16 12-7 PP12 -7 12 SPACE SPACE 40, tcm== SPACE ()332577 100 800768768 == = 12-7 22545320500/40.

5 10 102339202yyctEkNcmDcmt cmAcmIcmIZZcmD===== == == D D t 12-9 ( ) 12-8 4m100kN4m 4m4m100kN P 125kNm 150kNm P + 12-10 100kN 100kN 12 -8 12 SPACE SPACE 12-11 2 12-12 4m 12-14 12-15 12-11 12-12 12-13 12-14 12-15 12 -9 12 SPACE SPACE 12-16

6 12-17 100 12-17 12-18 12-16 12 -10 12 SPACE SPACE 12-18 12-19 Ctrl+ =cm ( ) 12-19 ( )

7 12-20 12 -11 12 SPACE SPACE 12-21 12-16 SOUTPUT 100 12-10 SPACE 12-21 Soutput 12 -12 12 SPACE SPACE 12-1 SPACE SS400 220500/EkNcm= H-400x200x8x13 12-1 12-2 12-3 12-4 6m4m2m50kN50kN50kN2m2m2m6m50kN50kN3m3m3m 50kN2m50kN50kN50kN2m2m2m8m