S45C 長、寬皆700mm 兩端用螺絲上吊 厚度為多少時才不會因重量而變形?

S45C長、寬=0.700m 兩端用螺絲上吊 厚度t=?不會因重量而變形

E = 1.63 * 10^10 kg/m^2 for steel

q = 7850 kg/m^3 for steel

I = b*t^3/12 = 0.7t^3/12 = 7*t^3/120

w = 0.7*7850*t = 5495*t kg/m

L = 0.7 m

δ = 5w*L^4/384EI ;;; Strength of Material

= 5*5495*t*0.7^4 / 384*1.63*10^10*(7*t^3/120)

= 5*5495*0.241*120 / 384*1.63*10^10*7*t^2

= 1/10000 meter


t = √(5795*600*0.241 / 384*7*1.63*10^6)

= 13.4 mm

= 1.34 cm

= Answer