Question

Handle structure comprised of 3 round bar elements (AB, BC, CD) as shown in the figure below. The handle is fixed to the wall at A. A 150 lbf force is applied to the free end at D. The dimensions and cross sections are given in the figure. The handle structure is made from AISI 1020 cold drawn (CD) low carbon steel. a) draw the free body diagrams of rods AB, BC, and CD. b) Find the forces, moments and torques at location A. c) find the maximum shear stress, bending stress, and torsion shear stresses at A. d) combine the stresses from part b into a total state of stress using the maximum shear stress (MSS) and distortion energy (DE) criteria. e) calculate the factors of safety using the stresses calculated in part d. f) calculate the critical buckling load, Pcr, for rod CD and the factor of safety. g) calculate the fully corrected endurance limit, Se, for rod BC and factor of safety using Modified Goodman. Handle is loaded in ambient conditions. Include a 90% reliability. Load cycle is on, off, on, off, .... 150 lbf D - free 8.25 Long OD 0.65" A-fixed 10.45 Long OD 0.85" x ID 0.39 15.75" Long OD 0.75" x ID 0.2"

Answer 1

D-u A-fiked OD 0.65" OD o. ID-00" Is. " OD 0.+ ID0. 2" bedy hingram A (.Hsi*ros) x IS souf C. Isoub C B Perces, moments and torqve at location A' Torque af A 150 x 15-bfinch) A I50lbf Momend al A SOdbf Dictanu AB - IS0 Jbf x 10.45 inch Momevel at A . ISOX ID-45 Jbf nch xis.t" ISOIbf force at A 150 lbf

cy Max Shear dincs, bending res& toDn dhea creu at A T tprion JIR OD TT(oD-ID 32 Ttorsion Tx o.8S x 32 TT x 6.354-0-3) SO x IS x 0.85" x22 ) उक bf-inch) f0.350.2 4) inch2 Slcp b) Ttornonal 39 823.99 endng heaa brey () henYmas OD Ymax O.D X TT o-D-TD 64 bp SOx 10.4S x 64 2 inch 2 2-6 4 22.90 Jbf nch

qnd tornon pnoblem, As it Combined nax 26402-90) +298r 3 99) Tmax 3912-2-227 bf Inch & Distortion enytry Max hear Streu hny thay MSS (whne rycld r) y for A1SI l020 Cold drawn &G 51 GPa Jy 24.MPq 350 Tmax 35O 14 S 038 MPg14.03 лЬf 2 nch 25381 65 Tmoy lbf nch2

Didrerton he Us 6 GT o 1 GPae 145038.73 6x (-4Sx 45038.3) inch ilb P-inch) Us g8.20 faetor fsolty ueng part (d) value е 17 Tmax Pos 2 350X1S.018 For 2S381.65 2 FOSO. 2s Dserton enogda Fos 6 G .50x145-020) x54503-73x 38-20)

Aoad. (P) for CD fycalculati buekling for 9oc CD one end Pix & cne end Pree T2 ET 4 L Pa E 2-00 GPq 64 T O-00876 b-\Mch 2OO x 14 5038.73 x Per TT 0.00876 Hx . Per 92-. bf 6-D)L X u.03

350 GMP 2 MRee Ma hear thuay) Pos S6-1

ALL ANSWER VALUES ARE IN LBF AND INCHES