Acast-iron tube is used to support a compressive load. knowing that e 5 10 3 106 psi and that the maximum allowable change in length is 0.025%, determine

(a) the maximum normal stress in the tube,
(b) the minimum wall thickness for a load of 1600 lb if the outside diameter of the tube is 2.0 in.

(a) 2.5 ksi

(b) 0.1075 in

Explanation:

(a)

Making the subject then

where is the stress and is the strain

Since strain is given as 0.025% of the length then strain is

Now substituting E for then

(b)

Stress, making A the subject then

where d is the diameter and subscripts o and i denote outer and inner respectively.

We know that where t is thickness

Now substituting

But the outer diameter is given as 2 in hence

As already mentioned,

explanation:

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explanation: