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Marysya12 [62]
3 years ago
12

H?mmmmmmmmmmmmm?mmmmmm

English
2 answers:
Stella [2.4K]3 years ago
7 0
Mmmmhmmmmmmmmmmmmmmmmmmmmhmmmmmmmmm ssSpigetti
fenix001 [56]3 years ago
4 0
HHHHHMMMMMMMMMMMM?????????????????????

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Stainless steel rod has a gap of 0.0371 mm between its end and a rigid wall. The modulus of elasticity E = 210 GPa. The coeffici
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Answer:

The value of stress in the rod is 220.9 MPa

Explanation:

As the data is not complete, a similar question is found online and the missing data is used from that question. Similar question is attached herewith.

From the given data

The allowed total strain is given as \delta_a=0.0371 mm

The length of the rod is missing in this data which in the additional data is l=290 mm

The Modulus of Elasticity is given as E=210 GPa

The coefficient of thermal expansion is given as α= 10 ×10⁻⁶ mm / mm⋅°C.

The initial temperature is room temperature which is given as T1=22C

The final temperature is given as T2=140 C

The strain due to stress is given as

\delta_s=\dfrac{\sigma l}{E}

\delta_s=\dfrac{\sigma (0.290)}{210\times 10^9}\\\delta_s=1.38095\sigma \times 10^{-12}

Now the thermal strain is given as

\delta_c=l\alpha \Delta T\\\delta_c=0.290\times 10 \times 10^{-6}(T_2-T_1)\\\delta_c=0.290\times 10 \times 10^{-6}(140-22)\\\delta_c=0.0003422

So now the equation of the allowed strain is given as

\delta_a=\delta_s+\delta_c\\0.0371\times 10^{-3}=1.38095\sigma \times 10^{-12}+0.0003422\\\dfrac{1.38095}{10^{12}}\sigma+0.0003422=\frac{0.0371}{1000}\\\sigma=-\dfrac{10^{12}\times \:0.0003051}{1.38095}\\\sigma=-220934863.68 Pa\\\sigma=-220.9 MPa

The negative sign indicate that the stress is compressive.

The value of stress in the rod is 220.9 MPa

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