Engineering
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Answer the following questions in complete sentences. Make sure to explain your

Answer the following questions in complete sentences. Make sure to explain your thinking. 7. Il 1, 2, 3, 4, 5 DOK 4 EXPLAIN the Engineering Design process using all the steps is your explanation.
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s2000damian
s2000damian
4,4(6 marks)

a) The stress in the bar when F is 32,000 is approximately 7,100 psi

b) The load P that can be supported by the bar if the axial stress must not exceed is approximately 110,000 lb

Explanation:

The question topic relates to stresses in structures;

The given parameters of the steel bar are;

The width of the steel bar, W = 4.0 in.

The thickness of the steel bar, t = 1.125 in.

The formula for stress in a bar is given as follows;

Stress, \sigma = \dfrac{Force, F}{Area, A}

The cross sectional area of bar, A = W × t = 4.0 in. × 1.125 in. = 4.5 in.²

∴ The cross sectional area of bar, A = 4.5 in.²

a) The stress in the bar for F = 32,000 lb, is given as follows;

The \ stress \ in \ the \ bar , \sigma = \dfrac{ F}{A} = \dfrac{32,000 \ lb}{4.5 \ in.^2} = 7,111.\overline 1

The stress in the bar when F is 32,000 is σ = 7,111.\overline 1 psi ≈ 7,100 psi

b) The load P that can be supported by the bar if the axial stress must not exceed, σ = 25,000 psi is given as follows;

\sigma = \dfrac{ P}{A}

Therefore;

P = σ × A = 25,000 psi × 4.5 in² = 112,500 lb

For the axial stress of 25,000 psi not to be exceeded, the maximum load that can be supported by the bar, P = 112,500 lb ≈ 110,000 lb.

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