403_Mechanics Homework Mechanics of Materials Solution

# 403_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 4 14] 4.140 An eccentric axial ﬁbre: P is applied as slim to steel bar onS x 90-mm ’ crosssection. The strains atAanchavcbecnmeasured and foundtobe 6,. = +350 p E, = -70 u gnawing that E = 200 GPa, determine (a) the distance d, (b) the magnitude of the force 4.141 Solve Prob. 4.140, assuming that the measured strains are 6‘ = +600 u 6, a=+420 n SOLUTION “7 IS+H5+3O = q0mm b = 25m. c. =£ln= 145 mm: 0.095‘m A '5 bln - (15')(‘?o)- 2,95wp9mm‘= 225x163 w." I = ﬁbhﬁ TEQSYQD)’: 1.5:s7sxro‘m" = 1.5187S'HO" m" j, - _60-95 :15 mm = 0.06“") 3, =15- 45‘ = —30~m= -O.O’30m 5+resses -FNM shun-n sages a} Aanel‘B 6; = E5. = C200u:0*)(éoo x10") - warm“ 1% 6'3 2 52., =- (200: IOQXLI-Qowjo" ): gqxlo‘ Pa. 6,—53 =- -WQI '3 _j[g6;—6’.) : -(L6'1875xlo4 V36 wo‘) .2. “v.12“; Mm jA-yg 0.095 MQJ+JP11in3(2)Ly 3" MA (I) lay Y3 and adbrimdﬁ'm: = (ya ‘33 3% (2.2.leo" (0.0:: )(84nlo‘) - (-o.os:>)(:20 «10‘ )1 0.095 ...
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