Question

What is the ROTATION at B (to the nearest 0.0001 radians)? a = 8 ft b= 9 ft P = 183k E = 16 x 103 ksi | = 3,905 in 4 P A 7 b

Answer 1

Page 1 ovestiom Solutiom. briven that A Cantilever beam is Loaded at free eandt B ·b. . a a= 8 fut = 18x12 ) im ch= go inch hoa gft = (108) inch P= 189K 183 Kimo pound foole, 16x103 488 = (16x103) kil pound force E (inch) Iz (3,905) imt = (3905) March 22 we have to find → Rotation at B. ? it, sappe oo în Jadian

Page(2) P elastic Bending Cure. antimizning since, when load applied at free end beam will tend to bend about fixed ende after Xarodiya Bending maximum deflection at free fond ie, at point a land zero slope fixed end ie at point A cet So, from Moment Area method et tell uq that difference of the slopes at any two point of the beam is equal to the Area о? Гм : diagram ET P EI = comptant for all demagth of Bearnom, them [Area of Bending moment of M diapam ΈT diagara

page-(3) Bending moment diagaan m o EL diagram P=183K "Zew sippel Teard %- 케 A2 AL M B1 EI CA na 커서 b • MAF IMA t. Po late) 183x196+108) (34332) K - int- MB a A Px: (6) 1834 of 108 M3=(19764) K-inch k stand for killo pound force ① kilo forand. novo pound

page-(A) Area 0 ODE - AL- 놀 X DEX OD - AL = 1x axTMA - MB MA 2 EI = 12.96 2 EI 37332 - 197 - 13769] IAL 8 43264 → A are ΈT Area A2 ABX AD A2- a X PMB of ADEBE yang MILA 968 197 64 EI 1897 344 BI A2= AIC to homent Ana Method B betweem A rarea of EI B and

"Таке Page 6 оniyim poin ic, Jon- Zero 4 ләре ет с Толке. ?emo slope and from elastic curve. өл А? О — д E ГА, Ant Az — 8432. 64 + 1351 344 ET EI 9 Өо - + Г 24 oko8 EI (А.С. w) + 4o 603 [uxo31x [395] 3 +(0.0 438 ) sadian gutation at (B)