Question

σf = 220 MPa, E = 200 GPa, ν = 0.3, and α = 12×10-6/°C

Find the maximum torque with a 30% safety margin using Tresca

Calculate the resulting angle of twist of plane B relative to A, C relative to B, and C relative to A

Calculate σ1 and σ2 in AB

Find the change in length of BC if ΔT = +100°C

-4T +T A 0.5 m B. 0.2 m Go С X X 1 m 1 m

Answer 1

im Im ol B oc ST ST IT 4 32 ܒܳܠܰܝ 200 for AB e mara Als 7.52-0196 m), J, = 1 xus 436713210 Az = x.22 = 50 314m), Ja enx.24=15771 = 76.9 6pa 2011) 211.6.3) ST X.25- 203.91 T 6:134103 for BC x1 = 63.611 1578104 awwrding to descegi sofer ons Max. shear L (max) allowable 636.61 T ļ 1220 (220x09) 1:3 T Among N

T= 132.9 kNm Odo 2 1994 xwedang 0.010 -0.010 rod, -0.057° Pol 1856 76.9xw0lxl.several Sx 132.9x102x1 -0-0014 rgd 76.48109x6.13 x103 6) 0.080° 0.011*0.0014 = 00096 Taj -0.5TⓇ QUA for AB 2 = 203.18 132-9x103 2 = 27.0.99 upa 0,=+27.099 Moda O2 = -21.099 Wpa LAO ALBE = ALBC =1*/28100x100 AL = 1.2 min BL

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