Not yet answered Marked out of 16.0 Calculate the minimum diameter (in mm) of th

Question

Not yet answered Marked out of 16.0 Calculate the minimum diameter (in mm) of the solid aluminium tent pole required to carry the weight of the tent without buckling. Assume the tent pole is restrained sufficiently at the top, such that the pole effective length can be assumed to be equal to its actual length (H). Young's modulus of aluminium, Eal = 69,000 MPa For a solid circle, moment of inertia, I = pie r 4/4 where r is the radius of the solid circle. Assume W = 370.4 kg, H = 2.6 m Give your answer to 1 decimal place.

Explanation / Answer

W=mg =370.4*9.8 =3630 N

W=pi2*E*I/Leff2

3630 =pi*(69000*106)*I/2.62

I=1.13*10-10 Kg-m2

Moment of Inertia of Solid Circle

I=(1/4)mr4

(1.155*10-11)=(1/4)*370.4*r4

r=1.05*10-3 m=1.05 mm

diameter

D=2r=2.1 mm

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