## Solution to Problem 530 | Economic Sections

**Problem 530**

Repeat Prob. 529 if the distributed load is 12 kN/m and the length of the beam is 8 m.

## General instruction

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**Problem 530**

Repeat Prob. 529 if the distributed load is 12 kN/m and the length of the beam is 8 m.

Assume that the beam in the problem is properly braced against lateral deflection. Be sure to include the weight of the beam itself.

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**Problem 527**

In Prob. 526, if the load on the overhang is 600 lb/ft and the overhang is x ft long, find the maximum values of P and x that can be used simultaneously.

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**Problem 526**

A wood beam 6 in wide by 12 in deep is loaded as shown in Fig. P-526. If the maximum flexural stress is 1200 psi, find the maximum values of w_{o} and P which can be applied simultaneously?

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**Problem 525**

A square timber beam used as a railroad tie is supported by a uniformly distributed loads and carries two uniformly distributed loads each totaling 48 kN as shown in Fig. P-525. Determine the size of the section if the maximum stress is limited to 8 MPa.

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**Problem 524**

A beam with an S380 × 74 section carries a total uniformly distributed load of 3W and a concentrated load W, as shown in Fig. P-524. Determine W if the flexural stress is limited to 120 MPa.

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**Problem 523**

Solve Prob. 522 if w_{o} = 600 lb/ft.

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**Problem 522**

A box beam is composed of four planks, each 2 inches by 8 inches, securely spiked together to form the section shown in Fig. P-522. Show that I_{NA} = 981.3 in^{4}. If w_{o} = 300 lb/ft, find P to cause a maximum flexural stress of 1400 psi.

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**Problem 521**

A beam made by bolting two C10 × 30 channels back to back, is simply supported at its ends. The beam supports a central concentrated load of 12 kips and a uniformly distributed load of 1200 lb/ft, including the weight of the beam. Compute the maximum length of the beam if the flexural stress is not to exceed 20 ksi.

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**Problem 520**

A beam with an S310 × 74 section (see Appendix B of textbook) is used as a simply supported beam 6 m long. Find the maximum uniformly distributed load that can be applied over the entire length of the beam, in addition to the weight of the beam, if the flexural stress is not to exceed 120 MPa.

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