Derive at least 5 cases from the 12 cases of beam loadings that is shown. Derive the deflection at different points Phx -- of the beam, maximum deflection, and slopes as shown in the table. PL Px 48EI (M - 4x²) 0sxs PL? 16E1 Px² PL 6EI (3L – x) PL² 2EI 3EI Phx (1? – x² – b²) Px2 6LEI 9/3LEI GET Sa - x) 0sxsa Pab (2L-a) 6L. EI 6EI Pa Pa đn =7 (3L - a) Ph (L. LEI -a)' + (L² –)x -x at xV3 Pab (21.-b) 6LEI 6EI 2EI Pa :(3x-a) as xSL 6EI asxSL daner (3M - 46) if a >b 48EI SEI Swl" 384EI 24E7 (61² – 4Lx +x²) (L' – 21.x² + x') 6EI 24EI 24EI (52* – 12136² + 86*)| if a zb (31² – 2a") if a sb Wo 24L ET"(a- 21.) + 2a(a -- 21.)x² + Lx'|d 384EI 241. EI 2I (6a - 4ax + x²) 0sxsa "2AL E la- 21.)* 241. EI 24EI Woa (4L - a) O= 24EI 6EI (21 -a) 24LEI 241, ET-L+ x)(a² – 4Lx + 2x²) Santer (4x- a) asxSL 241. EI 24EI asxsL 96E7 dun -0.006 522 7wl 360EI 360L ET (7L* – 10L²r²+3x*) at x-0.5193L 360LEI 1 20L EI 120L. ET (10L' – 10L²X+ 5Lx² – x³) ] ón 30EI 24EI daner-0.006 510- El 45EI Mol. Mox? at x Max (L² - x²) 61.EI 6EI O EI 2EI 2EI Mol. Mo Saner 16EI 3EI

Derive at least 5 cases from the 12 cases of beam loadings that is shown. Derive the deflection at different points Phx -- of the beam, maximum deflection, and slopes as shown in the table. PL Px 48EI (M - 4x²) 0sxs PL? 16E1 Px² PL 6EI (3L – x) PL² 2EI 3EI Phx (1? – x² – b²) Px2 6LEI 9/3LEI GET Sa - x) 0sxsa Pab (2L-a) 6L. EI 6EI Pa Pa đn =7 (3L - a) Ph (L. LEI -a)' + (L² –)x -x at xV3 Pab (21.-b) 6LEI 6EI 2EI Pa :(3x-a) as xSL 6EI asxSL daner (3M - 46) if a >b 48EI SEI Swl" 384EI 24E7 (61² – 4Lx +x²) (L' – 21.x² + x') 6EI 24EI 24EI (52* – 12136² + 86)| if a zb (31² – 2a") if a sb Wo 24L ET"(a- 21.) + 2a(a -- 21.)x² + Lx'|d 384EI 241. EI 2I (6a - 4ax + x²) 0sxsa "2AL E la- 21.) 241. EI 24EI Woa (4L - a) O= 24EI 6EI (21 -a) 24LEI 241, ET-L+ x)(a² – 4Lx + 2x²) Santer (4x- a) asxSL 241. EI 24EI asxsL 96E7 dun -0.006 522 7wl 360EI 360L ET (7L* – 10L²r²+3x*) at x-0.5193L 360LEI 1 20L EI 120L. ET (10L' – 10L²X+ 5Lx² – x³) ] ón 30EI 24EI daner-0.006 510- El 45EI Mol. Mox? at x Max (L² - x²) 61.EI 6EI O EI 2EI 2EI Mol. Mo Saner 16EI 3EI

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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