Question

1. (30 points) The pipe shown has an outside diameter of 2.0in and an inside diameter of 1.6in A concentrated load of F-800lb acts free at the end D. Using Castigliano's Theorem, calculate the following (a) the vertical displacement (y-direction) at the position of the force (b) the slope (yz-plane) due to the vertical displacement at the position of the force The shaft material has an Elastie Modulus-30000ksi: Peisson's ratie-03 Distances: From I to A (betom plate)lin Note: Consider that the internal strain energy due to direct (ransverse shear) is small and i can be obviated 3 in 5 in 11 in. 800 Ib Calculate a) Area b) Moment of Inertia c) Displacement due to Strain Energy for CD d) Displacement due to Strain Energy for BC e) Displacement due to Strain Energy for AB f) Total Vertical displacement g) Slope due to Energy Strain CD h) Slope due to Energy Strain BC i) Slope due to Energy Strain AB j) Total Slope

Answer 1

Solrtion iven -hat re body diaqrom la F 80o (b Drame les In side Diamaler d E = 30,000 D C AH =lin し寿

re.a 下 nenla 下 6 D Cy 0.4628 in

3 ooc0 Ro.3) 30000 30000 9 = 11538-96 vom Castin n's thovem fano place men L4 pe

DC rLDC FLDC Bendin 1[制 ウ 2 D C GET Bc) due 24.7 2 (L8c RG T tBunding 152 dfr 3 a Er GTEI

%) dueto A-AE (%) due to Bending mr FI 241 6 E Dc LAB 2 G EI GET QET G x 3000 o K O, 다 628 2 1538 46x b 926

12000ひ 良1367.2.2. 4 320ひ 12. G구eyPo 8 330y 8330y | 2.5.8481- Jtoc0 ooD uSet рс. UBc) due to torsion DC

GE I (U ) due-to Compre 비 ve tere (4e) due to anding (Flpctm A-B 2 EI LDcm)LDC SEI R-AE DC EI DC

Oy EL G.I ET 606 5) (3 toto 203D 5.3005. ) 05 3005 目 ニ0.053605 a slop2 0.053 5

r the Chega ru nave Sowe lease Te uejlions