Question

Problem 1: A shaft, with a diameter of 43 mm, is shown below. On the right-hand side at location D a wheel has a force F of 4824N applied. The diameter of this wheel is 150 mm. The torque produced by F is transmitted through the entire shaft to location A where the torque is reacted. There are no other constraints at location A. Bearings, are located at B and C, and provide radial constraint. The bearing at B also provides axial constraint to the shaft. An axial force of 1000 N is applied at the center of the wheel at D. It is in the direction of location A. 250 mm 100 mm 20° a. Create a torsion and axial force diagram for the shaft. b. Find the reactions at B and C. c. Create a shear force, V, and bending moment, M diagram for the shaft. d. Consider where the highest state of stress might occur, both in terms of distance along the beam and where on the cross-section. Draw a stress element at the highest point of stress and find the value of the stresses that act on the stress element. What are the principle stresses at this point? e. f.

Answer 1

Solution 의 Foonas components) the boru uriU o thu Torsion- 239-98 larung 13- O.I 0.35 5413 N-m To18ion Axial ru

hot hany i Opty thu ant lonupt to asiol 0.39 o@デ0-1 · fsmao 0 (Re)z (R)z 16346.30%N | ia3 09.363 N |

disechons 1S13,303 Monmnt 0.25 6346-3038 CN) +(-4533.07) с 1453.393 be Moment

B+1 @ С 6M @ D ah m o.25.: ZHg %4双メ0.35- N-m 註5益ス Yo.ID: 0 68 346, 307 Berdina Monsnt at a Scio sidu au th 耵a Shoufera b Bedun, Momunk dianarv.br/erloran~ - 96431- - 659.9c2 Bendu 9564.9 o5 | N- 011

At C, Bending Monont (M y.duchon 3.30羽 wiagai hudi tagnihds) 0.25 toki rlau due to tha Beud 새) at echen C

e) Ads '법て /6メ339.9807 スメ(0,043 ] (See forl⑥ = -7-998 MPa 又 頁- - -7. 36932 rlfa 又