Question

5. a) Determine the maximum axial load the member shown can support before you would expect it to yield. The structure is made of A36 steel. The thickness of the structure is 2.0 in., the larger width is 12.0 in., and the smaller width is 8.0in. The fillet radius is 0.5in. b) A 35 ksi axial stress is applied to the beam cyclically (repeatedly applied then removed). How many times can this be done before you would expect the part to and fail? c) A 25 ksi axial stress is applied to the beam cyclically (repeatedly applied and then removed). How many times can this be done before you would expect the part to fail?

Answer 1

Moterial A 36 stoel Youngmoduluy Vield streth Properties- E200 GPa 2 250MPa ath in tension Sut A0OMPa - UIHmate Stalic tensile load ca Se Smce given malesial io ductile in natun, in a totic lord iug concentaton fado. Therofore need not conpider. Otres = 50.8mm D 12 in = 3 o 4,8 mm degin 203.2m) 250x 208.2x50.9) P 2.58 MN eAug) Component suhjected to S= 85K = 241.81け MPa Case Oroan 41,811 MPa min Qて ampitude e-6oin 6 20. 6585MP. 241. 31 841.317 a 20, 6595MPQ from deaign data book Stoeso concentration fator for give loadig condition K2.4

We lknort, ) = Sut FιauranC 400 - 200MPa 2 for anial tosdng load fot0.8 get From design dala book, we machued t Ka = 0.76 Scfae Antole foctor (acm Corre ced endurance stregth KaxI21.6 Se o.16 x1x1xkd*0.gx0O Actual obeo concenbation factor O.8 C2.4-1) 2.12 0.47 2 croyh Corrected endurance Se- 0.47 121.6 = 57,3585MPa

-Modified Goodman DC AO OC (67.85%5) Se Ao pCoc) DC Sut (Aoo) 12D,6596AO0 120.6686) 400-120.6586) S4 172.7756 Mfa Construcion oA &N 0.9 Sat 0.9 X400 =860 2.5563 lA (60) z Q.5 563 2-2375 .7586 lo9opog 72.7756) oN to 2.2375 fsomm S-N di B-10 25569 92,2875 2. 5562 - 1.75 86 2 N 2 4.1S89 4. 1989 teycles-EAN c5810. 540 8 no Ne 10

n Component eubjeced to 25 Kei e Cale T2.869-0 86.1845 MA 2 Gma 86.184EMfa Se 57.3585 MPa Sut 400MPa 2 Modified Geodman A DC 86.1845 40O Se C00-g6.1895) C Sf 1098637M Sut Consbuction ot 9N log Sp Ato l0 Sut) -2.5563 2. 5563 7586 lgroSe) CSA) 2.0408 .7586 ag.g527 2.0408 3 log N 6 9.556-2040g 2- 2.5563 1.7686 2 - dks N z 86885. 7898 4
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