Question

QUESTION 20 An overhead traveling crane can be modeled as indicated in below Figure. Assuming that the girder has a span of a m2) of 5000 and mode shapes of the system 02 ㎡ ) and a mo d lus of elasticity (E) of (2.06 × 1011 N m2), the t olley has a mass (mi) of 1000 kg, the load ber g irt d has a mass kg, and the cable through which the mass (m2) is lifted has a stifthess ot (3 x 105 N/m) determine the natural frequencies GinderTolley Wire rope th) The equivalent value of the constant for spring stffiness (kg in 3.09 x 10° N/m 13 × 105 N/m 30.05 x 10s N/m 3.55 x 105 N/m Click Save and Submit to save and submit, Click Save All Arnnvers to save all answers Save All Anawers F1 F2 F3 on fa FS F7 F8 F10 QUESTION 23 The 1st mode amplitude ratio (r, ) is 0 2.01 10.01 8.25 QUESTION 24 The 2nd mode amplitude ratio (r) is 5.24 0.018 1.57 0.027 0 QUESTION 23 The 1st mode amplitude ratio (r, ) is: ○ 2.01 10.01 9 11 8.25 QUESTION 24 The 2nd mode amplitude ratio (r2) is: 5.24 0.018 1.57 0.027 QUESTION 25 The first mode is: x(1) = 11.1 1X11)cos(w1t + φι). x21) =-0.018 X11)cos(apt + φ1) x(1) = X11) cos(ω,t + φ1) , x21)-10.0 1X11)cos@f + фі) O x(1)-X(1)cos(apt + φ1)-X21- 11.1 1X11)cos(w1 t + φ1) o x11)-8.25X(1) cosco, t + φι) , X21)-X(1)cos (a, t + φ1) QUESTION 26 The second mode is: CoS( t+ x12)-X(2) cos(co2 t + φ2)戊22) = 0.027x12)cos(c02 t + φ2) Click Save and Submit to save and submit. Click Save All Answers to save all answers 26

Answer 1

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