Ansalisa Struktur 2 bagian 2
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1) The document contains calculations for shear force and bending moment diagrams of a beam with various loads. 2) Maximum bending moment is calculated to be 71.8 tm at 266.3 m from the fixed end according to the limiting conditions. 3) The calculations involve summing moments and shearing forces at different sections of the beam to obtain the shear force and bending moment diagrams.
Ansalisa Struktur 2 bagian 2
- 1. ∑ =→= 00 AHH tonVV VV qLVVV BA BA BA 12 0)8)(3( 00 2 1 2 1 =+ =−+ =−+→=∑ tonV V LqLV M A A A B 4 ))8()(8)(3(8 0)()8( 0 3 1 2 1 3 1 2 1 = = =−→ =∑ A q = 3 t/m B 4 m 4 m HA VA VB x 4 ton 3,25 ton 1 ton -2,75 ton -8 ton SFD tonV tonV tonVV B B BA 8 124 12 =→ =+ =+ 7,5 tm 12 tm 10,5 tm BMD 12,32 tm
- 2. 2 16 3 2 1 2 1 2 1 4 )3( 8 44 :int xL x x qx L x xqVL q L x q angL x xAx x −= −=−=−= = tonxLx 4 12 16 32 16 3 2 3)2(442 =−=−=→= tonxLx 1)4(444 2 16 32 16 3 4 =−=−=→= tonxLx 4 32 16 32 16 3 6 2)6(446 −=−=−=→= tonxLx 8)8(448 2 16 32 16 3 8 −=−=−=→=
- 3. 3 16 1 3 1 2 1 3 1 2 1 3 1 2 1 4 )()3( 8 4)()( : xxM xx x xxqx L x xVxxqxVM q L x q Momen x AxAx x −= −=−=−= = tmxxMx 2 13 16 13 16 1 2 7)2()2(442 =−=−=→= tmxxMx 12)4()4(444 3 16 13 16 1 4 =−=−=→= tmxxMx 2 13 16 13 16 1 6 10)6()6(446 =−=−=→= 0)8()8(448 3 16 13 16 1 8 =−=−=→= xxMx
- 5. ∑ =→= 00 AHH tonVV VV LqVVV BA BA BA 6 0))8()(3( 0)(0 2 1 2 1 2 1 2 1 =+ =−+ =−+→=∑ tonV V LLLqV M A A A B 4 32))8()8()(8)(3(8 0))()()(()8( 0 2 1 2 1 3 1 2 1 2 1 2 1 2 1 3 1 2 1 2 1 =→ =+= =+− =∑ A q = 3 t/m B 4 m 4 m HA VA VB x tonV tonV tonVV B B BA 2 64 6 =→ =+ =+ -2 ton 4 ton 2,5 ton -2 ton -2 ton SFD 7 tm 8 tm 4 tm BMD 8,71 tm
- 6. 2 8 3 2 1 2 1 2 1 2 1 2 1 2 1 4 )3( 8 44 )40(:int xL x x qx L x xqVL q L x q xuntukangL x xAx x −= −=−=−= = ≤≤ tonxLx 2 12 8 32 8 3 2 2)2(442 =−=−=→= tonxLx 2)4(444 2 8 32 8 3 4 −=−=−=→= tonLqVL xuntukangL Ax 2))8()(3(4)( )84(:int 2 1 2 1 2 1 2 1 −=−=−= ≤≤ tonLx 26 6 −=→= tonLx 28 8 −=→=
- 7. 3 8 1 3 1 2 1 2 1 3 1 2 1 2 1 3 1 2 1 2 1 4 )()3( 8 4)()( )40(: xxM xx x xxqx L x xVxxqxVM q L x q xuntukMomen x AxAx x −= −=−=−= = ≤≤ tmxxMx 7)2()2(442 3 8 13 8 1 2 =−=−=→= tmxxMx 8)4()4(444 3 8 13 8 1 4 =−=−=→=
- 8. xM xx LxLqxVM xuntukMomen x Ax 216 ))8()(8()3(4 ))(( )84(: 6 2 2 1 2 1 2 1 3 2 2 1 2 1 −= −−= −−= ≤≤ tmxMx 4)6(2162166 6 =−=−=→= 0)8(2162168 8 =−=−=→= xMx
- 10. A q = 3 t/m B 4 m 4 m HA VA VB x A q = 3 t/m B 4 m 4 m HA VA VB x TUGAS