Tabel Deformasi Dan FEM [PDF]

TABLE PUTARAN SUDUT DAN MOMEN UJUNG 𝜃'( =

𝐿 = 𝑎 + 𝑏

𝑃𝑎𝑏 𝐿+𝑏 6𝐸𝐼𝐿

𝑃𝑎𝑏 𝐿+𝑎 6𝐸𝐼𝐿 𝑃𝑎𝑏 . 𝑀'( = . 𝐿

𝜃(' =

𝑀(' =

𝑃

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TABLE PUTARAN SUDUT DAN MOMEN UJUNG 𝜃'( =

𝐿 = 𝑎 + 𝑏

𝑃𝑎𝑏 𝐿+𝑏 6𝐸𝐼𝐿

𝑃𝑎𝑏 𝐿+𝑎 6𝐸𝐼𝐿 𝑃𝑎𝑏 . 𝑀'( = . 𝐿

𝜃(' =

𝑀(' =

𝑃𝑎. 𝑏 𝐿.

𝜃'( = 𝜃(' =

𝑃𝐿. 16𝐸𝐼

𝑀'( =

𝑃𝐿 8

𝜃'( = 𝜃(' =

𝑃𝐿. 9𝐸𝐼

𝑀'( = 𝑀(' =

2𝑃𝐿 9

𝜃'( = 𝜃('

5𝑃𝐿. = 32𝐸𝐼

𝑀'( = 𝑀(' =

5𝑃𝐿 16

𝜃'( = 𝜃('

𝑞𝐿6 = 24𝐸𝐼

𝑀'( = 𝑀(' =

𝑞𝐿. 12

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𝜃'( = 𝐿 = 𝑎 + 𝑏

𝑞𝑎. 2𝐿 − 𝑎 . 24𝐸𝐼𝐿

𝑞𝑎. 𝜃(' = 2𝐿. − 𝑎. 24𝐸𝐼𝐿 𝑞𝑎. 𝑀'( = 6𝐿. − 8𝑎𝐿 + 3𝑎. 12𝐿.

𝑞𝑎6 𝑀(' = 4𝐿 − 3𝑎 12𝐿. 3𝑞𝐿6 𝜃'( = 128𝐸𝐼

7𝑞𝐿6 𝜃(' = 384𝐸𝐼 11𝑞𝐿. 𝑀'( = 192

𝑀(' =

𝜃'( = 𝜃(' =

5𝑞𝐿. 192

𝑞𝑎. 3𝐿 − 2𝑎 12𝐸𝐼

𝑀'( = 𝑀(' 𝜃'( = 𝜃(' = 𝐿 = 2𝑎 + 𝑏

𝑞𝑎. = 3𝐿 − 2𝑎 6𝐿

𝑞 𝐿6 − 6𝐿𝑎. + 4𝑎6 24𝐸𝐼

𝑀'( = 𝑀(' =

𝑞𝑏 3𝐿. − 𝑏 . 24𝐿

𝐿 = 𝑎. + 𝑏

𝜃'( =

𝑞 𝑎. : − 𝑎; : − 4𝐿 𝑎. 6 − 𝑎; 6 + 4𝐿. 𝑎. . − 𝑎; . 24𝐸𝐼𝐿 𝑞 𝜃(' = − 𝑎. : − 𝑎; : + 2𝐿. 𝑎. . − 𝑎; . 24𝐸𝐼𝐿

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𝐿 = 𝑎. + 𝑏

𝑀'( =

𝑞 3 𝑎. : − 𝑎; : − 8𝐿 𝑎. 6 − 𝑎; 6 + 6𝐿. 𝑎. . − 𝑎; . 12𝐿. 𝑀'( =

𝑞 −3 𝑎. : − 𝑎; : + 4𝐿 𝑎. 6 − 𝑎; 6 . 12𝐿 𝜃'( =

𝑞𝐿6 45𝐸𝐼 𝑞𝐿. = 30

𝜃(' =

𝑀'(

𝑀(' =

𝜃'(

𝐿 = 𝑎 + 𝑏

𝑞𝑎. −3𝑎. + 5𝐿. 90𝐸𝐼𝐿 𝑞𝑎. = 6𝑎. − 15𝑎𝐿 + 10𝐿. 30𝐿.

𝜃(' =

𝑞𝑎6 5𝐿 − 4𝑎 20𝐿. 41𝑞𝐿6 𝜃'( = 2880𝐸𝐼

𝑀(' =

𝜃(' =

𝑀'( 𝑀('

𝜃'(

𝑞𝐿. 20

𝑞𝑎. = 12𝑎. − 45𝑎𝐿 + 40𝐿. 360𝐸𝐼𝐿

𝑀'(

𝐿 = 𝑎 + 𝑏

7𝑞𝐿6 360𝐸𝐼

3𝑞𝐿. = 160

𝑞𝑏 . = 7𝐿. + 6𝑎𝐿 − 3𝑎. 360𝐸𝐼𝐿

𝜃(' =

17𝑞𝐿6 1440𝐸𝐼 𝑞𝐿. = 30

𝑞𝑏 . 8𝐿. + 9𝑎𝐿 + 3𝑎. 360𝐸𝐼𝐿 [email protected]

𝑀'( = 𝑀(' =

𝐿 = 𝑎 + 𝑏

𝑞𝑏 6 2𝐿 + 3𝑎 60𝐿.

𝑞𝑏 . 3𝑏 . + 10𝑎𝐿 60𝐿.

𝜃'(

37𝑞𝐿6 = 5760𝐸𝐼 53𝑞𝐿6 5760𝐸𝐼 7𝑞𝐿. = 960

𝜃(' =

𝑀'(

𝑀(' =

23𝑞𝐿. 960

𝜃'( = 𝜃(' =

𝑞𝐿. 64𝐸𝐼

𝑀'( = 𝑀(' =

𝑞𝐿. 32

𝜃'( = 𝜃(' = 𝐿 = 2𝑎 + 𝑏

𝑀'( = 𝑀('

𝑞𝑎. 3𝑎 + 2𝑏 24𝐸𝐼

𝑞𝑎. = 3𝑎 + 2𝑏 12𝐿

𝜃'( = 𝜃(' =

5𝑞𝐿6 192𝐸𝐼

𝑀'( = 𝑀(' =

5𝑞𝐿. 96

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𝜃'( = 𝜃(' =

𝐿 = 2𝑎 + 𝑏

𝑀'( = 𝑀('

𝑞𝑎. 4𝐿 − 3𝑎 24𝐸𝐼

𝑞𝑎. = 4𝐿 − 3𝑎 12𝐿

𝜃'(

𝐿6 = 8𝑞; + 7𝑞. 360𝐸𝐼

𝜃(' = 𝑀'(

𝐿6 7𝑞; + 8𝑞. 360𝐸𝐼 𝐿. = 3𝑞; + 2𝑞. 60

𝑀(' =

𝜃'( = 𝜃(' = 𝐿 = 2𝑎 + 𝑏

𝑞 𝐿6 − 2𝑎. 𝐿 + 𝑎6 24𝐸𝐼

𝐿 = 𝑎 + 𝑏

𝑀 𝑎. + 2𝑎𝑏 − 2𝑏 . 6𝐸𝐼𝐿

𝜃(' =

𝑀 2𝑎. − 2𝑎𝑏 − 𝑏 . 6𝐸𝐼𝐿

𝑀'( =

𝑀 4𝑎. + 2𝑎𝑏 − 5𝑏 . 3𝐿.

𝑀(' =

𝑀 5𝑎. − 2𝑎𝑏 − 4𝑏 . 3𝐿.

𝑞 𝐿6 − 2𝑎. 𝐿 + 𝑎6 12𝐿

𝜃'( =

𝑀'( = 𝑀(' =

𝐿. 2𝑞; + 3𝑞. 60

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