## Solution to Problem 216 Axial Deformation

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## Solution to Problem 215 Axial Deformation

**Problem 215**

A uniform concrete slab of total weight W is to be attached, as shown in Fig. P-215, to two rods whose lower ends are on the same level. Determine the ratio of the areas of the rods so that the slab will remain level.

**Solution 215**

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## Solution to Problem 214 Axial Deformation

**Problem 214**

The rigid bars AB and CD shown in Fig. P-214 are supported by pins at A and C and the two rods. Determine the maximum force P that can be applied as shown if its vertical movement is limited to 5 mm. Neglect the weights of all members.

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## Solution to Problem 213 Axial Deformation

**Problem 213**

The rigid bar AB, attached to two vertical rods as shown in Fig. P-213, is horizontal before the load P is applied. Determine the vertical movement of P if its magnitude is 50 kN.

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## Solution to Problem 212 Axial Deformation

**Problem 212**

The rigid bar ABC shown in Fig. P-212 is hinged at A and supported by a steel rod at B. Determine the largest load P that can be applied at C if the stress in the steel rod is limited to 30 ksi and the vertical movement of end C must not exceed 0.10 in.

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## Solution to Problem 211 Axial Deformation

**Problem 211**

A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig. p-211. Axial loads are applied at the positions indicated. Find the largest value of P that will not exceed an overall deformation of 3.0 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembly is suitably braced to prevent buckling. Use E_{st} = 200 GPa, E_{al} = 70 GPa, and E_{br} = 83 GPa.

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## Solution to Problem 210 Axial Deformation

**Problem 210**

Solve Prob. 209 if the points of application of the 6000-lb and the 4000-lb forces are interchanged.

**Solution 210**

P_{1} = 4000 lb compression

P_{2} = 11000 lb compression

P_{3} = 6000 lb compression

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## Solution to Problem 209 Axial Deformation

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## Solution to Problem 208 Axial Deformation

**Problem 208**

A steel tire, 10 mm thick, 80 mm wide, and 1500.0 mm inside diameter, is heated and shrunk onto a steel wheel 1500.5 mm in diameter. If the coefficient of static friction is 0.30, what torque is required to twist the tire relative to the wheel? Neglect the deformation of the wheel. Use E = 200 GPa.

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## Solution to Problem 207 Axial Deformation

**Problem 207**

A steel wire 30 ft long, hanging vertically, supports a load of 500 lb. Neglecting the weight of the wire, determine the required diameter if the stress is not to exceed 20 ksi and the total elongation is not to exceed 0.20 in. Assume E = 29 × 10^{6} psi.

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