Question

QUESTION 7 22 points (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 foed, support "C" is fixed and "B' is a roller. DO NOT SOLVE for the internal moments (22 points 4 kipit 27 36 Ft Part I) Slope Deflection Equations DO NOT SOLVE MAB MBA Mec Mcs Part II) Identify and write all Boundary Conditions, Continuity Equations, or Equilibrium Equations Needed DO NOT SOLVE Boundary Conditions Continuity Equations Equilibrium Equations DO NOT SOLVE After just writing the equations per the instructions type "yes" in answer block TT T Arial 3 [12pt)

Answer 1

Complete solution is given below.

A Fixed end moments MFA 6 = MFBA = 0 - 4 * 36 ME BC = wi² 30 -172,8 k-it = 30 MFCB = Nc² 4x36² 2259,2 k-tt. o] Sinking of supports B с A 0.2 108c=0 À (56 PART 1: Slope deflection equations • MAR = 2(26A + 88 - + MFAB MAB REI ( (204 + OG 360-2)] +0 27 MAB 0.1480 A + 0.07400 to.oax A

• MGA QEI (PA+ Les 3(-0,2) + 6 27 (MBA 0.074GA + 0.1480B + 0.022 0] -172.8 LEI (2007 Oc Moc 36 Moc 0.l1l Os + 0.0560 /72.8 Mco LET (00 + loc -o) + 25962 36 (MCB 0.056 Oo + Ooll Oc + 2592 PART-11 = 3 Number of unknowns COA, 02, Oc) conditions required = 3. - * Boundary condition Since A and c are fixed support 4 = 0 10c=0 Equilibrium condition Since 'B' is intermediate support. MBA & MBC =0 2)