Question

A 30-mm thick AISI 1020 steel plate is sandwiched between two 10-mm thick 2024-T3 aluminum plates and compressed with a bolt and nut with no washers. The bolt is M10 × 1. 5, property class 5. 8. (a) Determine a suitable length for the bolt, rounded up to the nearest 5 mm. (b) Determine the bolt stiffness. (c) Determine the stiffness of the members

Answer 1

1. A suitable length for the bolt is 70 mm.
2. The bolt stiffness is 235 MPa.

Stiffness can be described as the resistance to a power that cause a component to bend. Stiffness is very crucial to the end-use presentation of many papers.

From table A-31 , the height of nut is H = 8.4 mm and L > l + H, then

L > l + H = 10 + 30 + 20 + 8.4 = 68.4

Because of L > I and I = 68.4, then we round the value and it will be 70 mm

So, the length for the bolt is 70 mm.

Determine the bolt stiffness

stiffness = k = E x A/l

Where E = 210 GPa

We are informed that the diameter is 10 mm

A = 1/4 x π x d² = 1/4 x 3.14 x 0.1² = 0.00785 m²

Then we substitute the value of A into the formula, and it will be:

k = E x A/l

k = 210 x 0.00785/0.07 = 235 MPa

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