# elongation

## Solution to Problem 347 | Helical Springs

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## Solution to Problem 345 | Helical Springs

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## Solution to Problem 344 | Helical Springs

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## Solution to Problem 343 | Helical Springs

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## Solution to Problem 238 Statically Indeterminate

**Problem 238**

The lower ends of the three bars in Fig. P-238 are at the same level before the uniform rigid block weighing 40 kips is attached. Each steel bar has a length of 3 ft, and area of 1.0 in.^{2}, and E = 29 × 10^{6} psi. For the bronze bar, the area is 1.5 in.^{2} and E = 12 × 10^{6} psi. Determine (a) the length of the bronze bar so that the load on each steel bar is twice the load on the bronze bar, and (b) the length of the bronze that will make the steel stress twice the bronze stress.

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## Solution to Problem 219 Axial Deformation

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## Solution to Problem 218 Axial Deformation

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## Solution to Problem 207 Axial Deformation

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## Axial Deformation

In the linear portion of the stress-strain diagram, the tress is proportional to strain and is given by

since $\sigma = P / A$ and $\varepsilon = \delta / L$, then $\dfrac{P}{A} = E \dfrac{\delta}{L}$

To use this formula, the load must be axial, the bar must have a uniform cross-sectional area, and the stress must not exceed the proportional limit.

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