Determine the dimensions of the tank, Mechanical Engineering

Determine the dimensions of the tank:

A conical water tank is to be fabricated from steel plate of 10 mm thickness. The shell should contain an apex angle (α) 15o. If the permissible tensile stress is 140 N/mm2, determine the dimensions of the tank.

Solution

Unit weight of water, w = 9.81 × 10- 3 N/mm3.

Apex angle, α = 15o

Thickness, t = 10 mm

Permissible tensile stress, σn = 140 N/mm2

Therefore, we get 140 = wh2  tan α / 4t cos α

=9.81 × 10- 3 × h2 tan 15o / 4 × 0 × cos 15o

∴          h = 1434.5 mm

We know, r = h tan α = 1434.5 tan 15o = 384.4 mm. Base radius = 384.4 mm.

Posted Date: 1/21/2013 2:15:03 AM | Location : United States







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