Question

(Slope-Deflection) Problem 7. Using Slope-Deflection Method, write all equations using numeric standard decimal values for calculations (Not Fractions), when known or able to be calculated, necessary to solve for the MOMENTS and SLOPES in each span. The support at "A" SETTLES DOWNWARD 0.2 ft. El is constant. Assume support at "A" is fixed, support "C" is fixed and "B" is a roller. DO NOT SOLVE for the internal moments (22 points) 4 lip F B c 27 A 36 ft Part I) Slope-Deflection Equations DO NOT SOLVE MAB MBA- MBC Мсв Part II) Identify and write all Boundary Conditions, Continuity Equations, or Equilibrium Equations Needed DO NOT SOLVE Boundary Conditions Continuity Equations Equilibrium Equations

Answer 1

-ne he deflection 20 B A 0.2ft aut clockwise Rotation. MAB= rebulence ukip/ dt TJ. as it lausing the member A 27 ft 36 Jt Slope deflection Ea MAR= MAB + QE I (20A TOB-34) = 0 + 261 (0 + OB-3 (-0.2) MAB= 0.0741EI (OB + 0.022) 0.0741 OBEI +1.6468x10-3 0+ 27 (208 +0-3(-0,2) Boundary londiners. OA=0 Oc=0 MBC = (fixed Support 27 MBA 29 = 0.1480B + 1.646X10 3 4x (36) +QLI 36 30 (208+ 20B + oto) -172.8 0.111 £106 McB = +ux (36) 20 36 = 959.2 + 0.055108 +2E (or + OB to)

MBA= 980 743 kip-tt Mc B = 295.895 kip-ft • Equilibrium Equ MBA+ M Be=0 Wall 20% 0.148 EI OB + 1.646X10-3-17218+ 0.11 E I OB = 0 €10B = 667.175 OB= 667.175 EI fixed and Moments MABE 49.439 kipth MB (= -98.743 kip-ft