Question

C2 Done session.masteringengine AA <HW10 - Attempt 1 Problem 10.4 < 7 of 7 Consider the beam shown in . Assume A is 3 k/ft B -4ft - 8 ft 8 ft -4ft - pinned, and B and C are rollers. El is constant. Part A Determine the internal end moment MAB acting on enan AR o maseurad clockwice

Answer 1

3 klft TP X oft uft' x 447 oft Fixed End Moments MFAB=-3X8?= -16 R-ft wl? 12 12 No displacement MABA = 3x02 = +16 K-fit ->D=0 12 24k-ft MABC -3X8? =-16 K-ft MoH= 3x4x4 2 12 MFCB - 3 X92= 16 K** Using Modified slope Deflection Equestion S&T (06-6) МеВА + Мон MBA MFOA+ MFBA = MBA = MEBA + 3E OB T MBA = +16–1824 + 3E1DB 4 + 3ELAB B 2 + MBC =-16 - 24 3EROB -28 +3ENOB 6-24 MFAB + 2ĘN (204 +08) -16 + 4E20A + 2ET0B MAB = MAB 24 24 Ast support B, MBA+MBC=0 4+3 EIOB - 20+3 ETOB EROß CS Scanned with CamScanner

MBA = 4 + 3x4 = 16 K-ft ty clockwire -ive. Anticlockwise MBC= -28 + 3x4 = -20 +12=-16 Kft MAD 24 k-ft . MAB MCE 24 kft M CB free end moment (Maxm) 3 klft B klift 340²_ 24 k-ft Mmex= wl? 8 B B * x 877 Sift Sign convention BMD ₂4 kaft tve 20 24 с 5 6/2 z E A B -ve 24 24 2 Mn = 24-16-24-16=4K ft MN= 24-16-24-16-4 K-ft 2 24 3 klft 16 kaft 16 R-ft FBD 24 K-ft А B CS Scanned with CamScanner