For the beam below: (a) Find the reactions for the structure below using the Force Method....
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For the beam below: (a) Find the reactions for the structure below using the Force Method. (b) Find rotation of the beam at point A. Assume El is constant along the entire length of the beam. A A ↓ 1 Kips/ft 10 ft ✓ ↓ Ain B + 5 ft AM C £0, -4/2- Beam ↓² 1 4 7 10 8₁₂ = −8₂₁== 0₁ =- SIMPLY SUPPORTED BEAMS Slope Deflection 16 13 0₁ =- 0₁₂₁ = +₁ |0₁₂₁=+ Pb(L²-b²) 6LEI Pa(L²-a²) 6LEI q=₁ 8₂₁=-0₂=- 8₂=+ PL² 16EI ML 3EI ML 6EI wa² 24LEI 0₂=+ wa² 24LEI wĽ³ 24EI -(2L-a)² (21²-a²) 7w.1² 360 EI w.L 45EI 2 5 8 11 14 V= 17 V=-- PI³ 48EI Pa²b² 3LEI at x = a wa' 24LEI ML 9√3 EI *x-Z(1-4) at x= 5wL 384EI (41²-7aL+3a²) at x=a Vmax=-0.00652- ΕΙ at x=0.5193Z 3 6 19 V=- 12 V= |v=- 15 18 Elastic Curve Px 48EI y=- -(31²-4x²) Pbx 6LEI wa 24LEI Mx 6LEI -(1²-b²-x²) WX 24EI for 0≤x≤4/2 for 0≤x≤ a (21²—3Lx+x²) WX 24LEI -4a'L+a¹) for 0≤x≤a (L²³ - 2Lx² + x³) (Lx-4aLx² +2a³x² +4a²L² Wox 360LEI =(2x²-6Lx² + a²x+4L²x-a²L) for asxsL (71²-10L²x² + 3x¹) For the beam below: (a) Find the reactions for the structure below using the Force Method. (b) Find rotation of the beam at point A. Assume El is constant along the entire length of the beam. A A ↓ 1 Kips/ft 10 ft ✓ ↓ Ain B + 5 ft AM C £0, -4/2- Beam ↓² 1 4 7 10 8₁₂ = −8₂₁== 0₁ =- SIMPLY SUPPORTED BEAMS Slope Deflection 16 13 0₁ =- 0₁₂₁ = +₁ |0₁₂₁=+ Pb(L²-b²) 6LEI Pa(L²-a²) 6LEI q=₁ 8₂₁=-0₂=- 8₂=+ PL² 16EI ML 3EI ML 6EI wa² 24LEI 0₂=+ wa² 24LEI wĽ³ 24EI -(2L-a)² (21²-a²) 7w.1² 360 EI w.L 45EI 2 5 8 11 14 V= 17 V=-- PI³ 48EI Pa²b² 3LEI at x = a wa' 24LEI ML 9√3 EI *x-Z(1-4) at x= 5wL 384EI (41²-7aL+3a²) at x=a Vmax=-0.00652- ΕΙ at x=0.5193Z 3 6 19 V=- 12 V= |v=- 15 18 Elastic Curve Px 48EI y=- -(31²-4x²) Pbx 6LEI wa 24LEI Mx 6LEI -(1²-b²-x²) WX 24EI for 0≤x≤4/2 for 0≤x≤ a (21²—3Lx+x²) WX 24LEI -4a'L+a¹) for 0≤x≤a (L²³ - 2Lx² + x³) (Lx-4aLx² +2a³x² +4a²L² Wox 360LEI =(2x²-6Lx² + a²x+4L²x-a²L) for asxsL (71²-10L²x² + 3x¹)
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Physics
ISBN: 9781119539636
11th Edition
Authors: John D. Cutnell, Kenneth W. Johnson, David Young, Shane Stadler
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