Question

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M5.13 Rod and post with temperature change scenes 190 mm2 AT = 25°C 120 GPa = 15.7 x10-/C 40 kN (1) 290 mm2 (2) 200 GPa A B 17.7 x10-/C 2700 mm 1900 mm F (kN) A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached to rigid supports at A and C, respectively. A concentrated load P is applied to flange B in the direction shown. F2 (kN) (MPa) σ1 Determine the internal forces and normal stresses (MPa) 2 in each rod after the temperature changes by the indicated AT. (+ = tension, compression). (mm UB Also, determine the deflection of flange B in the x direction. Try one 1st 2nd 3rd attempt enter Rod properties

Answer 1

2 A, = 290mm A, 190 mm ATニ25 C. G:ven E =120G Pa -6 ニ 200 6 Pa E2 17.7X10 x10 2700 mm here, (2) P R,= P+R2 R2 R. 6 (Shermal (S) mechanicad is Contrained (Em)(8m (&),+6) (ST) ATX= 0.74575 mm (ST 2TAL2= 119475 mm 1 2

R,L o.74575+ 1.A475 A,E AZE 1.9405 .( R 1900 190 x 120X1 2700 A 290x200x10 1.9405 -5 8.33 X10 R, 4.655X10 R = g.33 R, +465 R, 194050 Hom 40000 R, - R2 3 59h +E8 40000 X 8.33 194050 g.33x0 233R, - 9.33 R2 R2(12.98) = 194050- 33320o R - 139150 12-98 -10720.34 N brom 10720 3N() 40000 + R =40000-10720 34 R,-29279-66N (2) R2 So, Rod (1) iS in R. Compremion Tension Rod (2) is n 29279 66 N R,D -154.10 MPa CompyeMve -1 A 190 mm2 l0720 34N 36.96 MPa Tension Az 2.90 mm2 divecfion bHange B detecton of 154 10 X1900 Up(),-Em) O.74575 - 120 X103 to ward s 1et) -1.69 mm