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Strength of Materials

Maximum Principal Stress Theory

A cylindrical...

Question

A cylindrical pressure vessel is 1200 mm in diameter. It is made of rolled mild steel plate. The vessel is subjected to an internal pressure of 2 $N / m m^{2}$ . If the material yields at 200 $N / m m^{2}$ , what should be the minimum safe thickness of the plate, based on Maximum Principal Stress Theory?

18 mm

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15 mm

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12 mm

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9 mm

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Solution

The correct option is D 9 mm
By assuming FOS = 1.5
$∵ \frac{p d}{2 t} \leq \frac{f_{y}}{F O S}$

$\Rightarrow \frac{2 \times 1200}{2 \times t} \leq \frac{200}{1.5}$

$\Rightarrow t \geq 9 m m$

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A cylindrical pressure vessel is 1200 mm in diameter. It is made of rolled mild steel plate. The vessel is subjected to an internal pressure of 2 N/mm2. If the material yields at 200 N/mm2, what should be the minimum safe thickness of the plate, based on Maximum Principal Stress Theory?

The correct option is D 9 mmBy assuming FOS = 1.5 ∵pd2t≤fyFOS ⇒2×12002×t≤2001.5 ⇒t≥9mm

The correct option is D 9 mm
By assuming FOS = 1.5
$∵ \frac{p d}{2 t} \leq \frac{f_{y}}{F O S}$

$\Rightarrow \frac{2 \times 1200}{2 \times t} \leq \frac{200}{1.5}$

$\Rightarrow t \geq 9 m m$