MAE131A_MT2

MAE131A_MT2 - Sng M/BTEQ M4) WA ,9 [2w 5:»? a biaxial...

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Unformatted text preview: Sng M/BTEQ M4) WA ,9 [2w 5:»? a biaxial loading as shown. It l @ The homogeneous plate ABCD is subjected to is known that a = m; and that the change in length of the ' ' ' Y z ‘ I plate In the x dlrectl must be zero, that 1s, ex = 0. Denoting by E the modulus of elasticity and byog P01sson s ratio, determme (a) the required magnitude of ax, (b) the ratio 00 / 22. , 62:69) 6"}:0) 5K=O B , :2 J“ ‘ ‘- I 5* E<SK “53'”62)"?(5*'”6;l (TX . (a) 8x 2 ~22 6‘; «a - _ { _ J“ z — U L. (26,} 2J§7+6;)*E<_W6;‘O+6;):/E 6: E I _ v 1 m The shafts of the pulley assembly shown are to be redesigned. Knowing that the allowable shearing stress in each shaft is 8.5 ksi, determine the smallest allowable diameter of (a) shaft AB, (b) )shaft BC. (on SMH AB; TAB: 3.6»!03 15w, Tm: 8.5 ks; = 5151\[07’ psi _ "' ‘f ,N ._ 1E __ J- ill-C LN“ J ‘ TT':3 :3 2m s WW _ m; C WE..." W(8.5'x103) " O' ”" . .‘ —~ _ ' .‘ &Ae— 2C - m. (lol Sl’lo. “l” BC: 6:3)403 fin-[m 21%: 8.53403)”; 3 _.. 3 3) ._ _ 2 9° _ / (27Co,8><10 R . C _ “Haw . Wfi(8.s_x(og> — 0,7985 In, Glee : Zr. "’ l.5¢17 in. A «.3 The electric motor exerts a torque of 800 N-m on the steel shaft ABCD when it is rotating at constant speed. Design specifications require that the diameter of the shafi be uniform fromA to D and that the angle of twist betweenA and D not exceed 1.5 °. Knowing that 1: s 60 MPa and G = 77 GPa, determine the minimum diameter shaft that may be used. 300 - m 500 ‘ m TEL: 500 N'm) A house»?9 on stress ’25 = GOX/O's Pa. JANE; — 'k2.f_<2><8r>o) - d" ’7Tc3 C‘72“W =.3.432sxzo‘= t. M C £_,?0Jfo x/o’s m = 20.40 MMJ oi : 2r; 2 40,8 m». n Raised an Agormdiggi @WA 7 I.5° = 26.187‘10—3/‘Ml CPD/c = O i q) : T’s:er _ §;§OO)§O.6) = ggg “5 GJ“ ‘ GJ G—J‘ (pa/A :. "Ila Lie : (300)(0c4) = 32.0 GJ‘ 621‘ GS ‘ _ 620 620 — )GZO] 599/5 - 49m“ (pt/8+ CPB" " E3: 2 ch‘f ‘ STZGC—C‘! C4 = 7 _ (ZDCGQOU ” - lo“ ‘ it TrGCPo/A 77(77 Y/o")(26.12xlo'3 ) ' ‘qs'go x m C. : 2:.04 no" m = 2;.04 mm) a = 2: = 42.. MM ?€$fjn mus‘l‘ use pangv vajue a? 0’, d = [+1.] MM ‘ , LI The design of a reinforced concrete bean is said to be balanced if the maximum stresses in the steel and concrete are equal, respectively, to the allowable stresses as and 0'5. Show that to achieve a balanced design the distance x from the top of the beam to the neutral axis must be )5: E E c r d 0-! 5‘ 1+ q where EC and ES are the moduli of elasticity of concrete and steel, respectively, and d is the distance from the top of the beam to the reinforcing steel ' d-->< _-M>( 6‘s: WM< 3 6;,“— 55 .. Col->0 - a, _ .1, V’ x 5 vi? h d) _ Lbs ‘ E155 7 " l+ we; ‘ ‘°’ Egg; X: ...
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MAE131A_MT2 - Sng M/BTEQ M4) WA ,9 [2w 5:»? a biaxial...

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