Question

3 (15 points) A bent circular cantilever beam of uniform diameter of 25 mm is shown in igure below. The beam is made from a material with elastic modulus is 70 GPa, the tensile strength is 250 MPa, and the ultimate strength is 300 MPa. 250 mm A. 150 mm z Zz. 50N V (z direction) 100 N (a) (5 points) What are the stresses in the beam at point A? (b) (10 points) Based on your calculations in (a), find the principle stresses. Draw the 3D Mohr's ch for this state of stress and label the principle stresses and the maximum shear stress.

Answer 1

iwe? data, The beam made f om a matesal ω.2h elastic modalus is 906,pa the tens. e stoength is a50nra. f diajkam (an be sedraien as, Hee, the ven beam oo N Seni Cr diection) N A NA ink i the neutral l for loen load hence, hese wo't be ang sbess on due to (icoN load).

N2 33 M 下(0.025)" b47 33MPa These ail be a shear 5bes 5 fre due to forgue twisting caused5N) 2.5 N 532x 5x3 x x (o 025)3 1115 49sPa The hatee 。早 bending stres 5 on Aw.)) be (

State f stse5 5 e Pont A. on 2 2. New, 5imce it i net menhioned that on ishich peint we have b find al these value s Hence, Cons.deガng point h 2 8 148

昄:o 41014 4Mpa