Question

Figure P4.37 shows a hand crank with static vertical load applied to the handle. (a) Copy the drawing and mark on it the location of highest bending stress. Make a three-dimensional Mohr circle representation of the stresses at this point. (Neglect stress concentration.) 200 mm 25-mm-dia, round rod bent into crank 250 mrm (b) Mark on the drawing the location of highest combined torsional and transverse shear stress. Make a three-dimensional Mohr circle 100 mm representation of the stresses at this point, again neglecting stress concentration 1000 N FIGURE P4.37

Young's modulus equation is E = tensile stress/tensile strain = (FL) / (A * change in L), where F is the applied force, L is the initial length, A is the square area, and E is Young's modulus in Pascals (Pa).

Answer 1

&homd corark Ja( the sfoess eouction, dhe momeut devdepd b hand e View 1. 25 mm NO99 6- 32M =3.14 Trds Heme Me bending memendt de diamekn Perpaoryt '. Hene F=1O0N L= 3o0mm. M-momendt jle01 distance 9 32M (1.)18 32 x ioto 300 &PIL T (25)3 I fa- I 96 X105 195.672 TTI5625) = 195-61x10N m stoers tfror the toodim deodfed by tRe hamd force T= Tension Tid 3 de dia of the shaft T Force distance 16.F.7 =} 16x l0o0 X 150 = 81.53 T81.53MPa Hoonifor shes Tn Poct vea bral load Aeramdver Ve veatial load A= ColotdectionlAvea 4(1000) T-2.717 MPa

total Shear stress 2. 7tostion t 7tanduste 81-53 Mpa + 2.717 mPa T4-247 MPa aj laalionfending Stress Fin ghefts beled on the gheeses (6): 19564 MPa Postve chekwthe Rile 7=81.53 MAa The Sadial sheuf ter The Poincipal &lrers i 2eoro maha's ctocde In hoai2ontal aniis Portinepal strers () aud shasstoess ( im veatiCal oniA 2) (o, 81-53 mpa Y 195.6mpa, -81.S3 Mpa) doa o the Center poind 3) She (97.83,0). dended as 'en' dstaw the eadius f Cirele fromo Center e mak the oigimthe adial sters of outer mk the ntrdectin Pta f cindle and Porinaple streetes as 2 doaw the cisce om diametns 6amd G3 (7Y (0,81 7man =127Mfa 6,-225Mpa 6-30 Mpa ( 195 64,-81-48) fom the diagsam Tman- 127mpa, 225 Mpa 62- 30 mpa

(ocation f Ghned tosusion and tsunvesse stoers at based on tve Cackose Rule Tr anal &treees () ond Combined trarioral and emsvente shea stresses aste Ompa and 84.247 Mpa Saufece Zeto tadial shaess at outer Mohan's Caocle anis Poieipl etren lo), Yanis ghan stres ) Mp Yam (0, 0+0, 84-247-8gu243 0,0). 2) -84-244 mpa. x anis (0, 84-247 Candor Posnt is dsauo the cacde adius foon Center e Fadal Shreeses at adtr Sulace doaw cirde diométers d 6,, 3 37 41 L2eao 61 +7 (0,4.247 42.123 42.12 3 y(0,-84-243) 7 Kom the fune 62, wan e 4212 3,Mpa, 42.123mPa Tmart=42-123m pa