Question

Problem 6 From x = 0 to r = 100 mm, the bar's height is 20 mm. From r = 100 mm to x = 200 mm, its height varies linearly from 20 mm to 40 mm. From x = 200 mm to x = 300 mm, its height is 40 mm. The flat bar's thickness is 20 mm with Elastic Modulus of 70 GPa. The bar is subjected to tensile axial forces P = 50 kN at its ends. (a) What is the stress at x = 150 mm? (b) What is the bar's change in length? 40 mm 100 1 100 1 100 mmmmmm 20 mm

Answer 1

b=201m 2-50mm Selain fig. hi= 20mm ② 1 Gommah. loom Eroopa = 70x108 pa. y 100 roomm Toomin t - 150 mm 950mm Charge Height at mano, sh = 10-20) n = u so = 18mm So actutel Lengda ho hetone 20+10 230mm so, cross-sectional area of this part A = (30) (20) 600 mm Since stress = 9. Sox3 600x10-6 TO = 83.33 x 106mm2 = 63.33 MPa] ♡ Change in length of of the bar {{mm = 106m2} bliohirah HDL - PL + Pla In (7) + Bals - A . Eb (hehe)" +5 L cla-va A,— 20х20 - 400mm - Az = (hoxro ) = 0oomma Goox 10tm² - blhf-he) = 20 (40-20) = 40o mm² OL= PL I thout too much ) + to . 504103 x 100 x 10-3 T itin2+{]t for 707109 yuoo. OL=0.3916X10-3 m BL=0.3916mm |