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Determine the reactions of the given beam using slope deflection method. P₁ = 25 kN, P₂ = 25 kN, and w = 35 kN/m P₁ P2 H 2m B 2m RA RD= Numerical answer in 4 decimal places and positive values only: kN (Downward) Mp= RE= kN (Upward) kN-m с kN (Upward) 21 4m ↓↓ W 8m I

Determine the reactions of the given beam using slope deflection method. P₁ = 25 kN, P₂ = 25 kN, and w = 35 kN/m P₁ P2 H 2m B 2m RA RD= Numerical answer in 4 decimal places and positive values only: kN (Downward) Mp= RE= kN (Upward) kN-m с kN (Upward) 21 4m ↓↓ W 8m I

Structural Analysis
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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Question

Please answer in complete solution and draw an fbd.
Note: Please use the second picture as guide for the formulas. Thanks

wa (3a 2. 8aL+6L3 2 12L² 14 PL 8 Pab² L² Mb(b-2a) L² wy L M L L P L L L L b Fixed End Moment Formulas 12 W W[2 8 wa (a²+ 41².4aL) 8L2 wa ³ (4L-3a) 121² Pa²b Ma(2b-a) L 12: 10 3 3 PL 16 Pab(L+b) 22² 3a 1.5a HO 120 2 -a- L MK L L L L L b 18 W2 HA W MAB deflection -0₂-² curve -L- P hum cord El is constant positive sign convention Fig. 11-2, Structural Analysis,R.C.Hibbeler 8th ed MAB = 2E20A + 0B - 3+ FEM AB MBA= -2E20B + 0A-33 A (FEM) AB -3+ FEM BA Sign convention: All clockwise internal moments and end rotation are positive. MBA For end span with far end pinned or roller support P mini 2EI L W B Fig.11-Sb, Structural Analysis, R.C.Hibbeler, 8th ed 3EI MN=[N+ FEMN General Form MNEF= [20N+0F-34+ FEMNF
Transcribed Image Text:wa (3a 2. 8aL+6L3 2 12L² 14 PL 8 Pab² L² Mb(b-2a) L² wy L M L L P L L L L b Fixed End Moment Formulas 12 W W[2 8 wa (a²+ 41².4aL) 8L2 wa ³ (4L-3a) 121² Pa²b Ma(2b-a) L 12: 10 3 3 PL 16 Pab(L+b) 22² 3a 1.5a HO 120 2 -a- L MK L L L L L b 18 W2 HA W MAB deflection -0₂-² curve -L- P hum cord El is constant positive sign convention Fig. 11-2, Structural Analysis,R.C.Hibbeler 8th ed MAB = 2E20A + 0B - 3+ FEM AB MBA= -2E20B + 0A-33 A (FEM) AB -3+ FEM BA Sign convention: All clockwise internal moments and end rotation are positive. MBA For end span with far end pinned or roller support P mini 2EI L W B Fig.11-Sb, Structural Analysis, R.C.Hibbeler, 8th ed 3EI MN=[N+ FEMN General Form MNEF= [20N+0F-34+ FEMNF
Determine the reactions of the given beam using slope deflection method. P₁ = 25 KN, P₂ = 25 KN, and w = 35 kN/m P₁ P₂ W I put 2m C RA= RD = MD= 2m Numerical answer in 4 decimal places and positive values only: RE= B kN (Downward) kN (Upward) 21 kN-m KN (Upward) 4m D I 8m
Transcribed Image Text:Determine the reactions of the given beam using slope deflection method. P₁ = 25 KN, P₂ = 25 KN, and w = 35 kN/m P₁ P₂ W I put 2m C RA= RD = MD= 2m Numerical answer in 4 decimal places and positive values only: RE= B kN (Downward) kN (Upward) 21 kN-m KN (Upward) 4m D I 8m
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