**Team Problem 7-1: Lateral-Torsional Buckling**A W27x94 beam made of Gr. A992 steel is being used to support the factored live loads shown. You may neglect the self-weight of the beam. Is the beam adequate to support the given loads?**Diagram Explanation:**- The beam is labeled as W27x94, which indicates its size and weight per unit length.- The beam is supported at each end. On the left, there is a simple support, and on the right, there is a roller support.- The total length of the beam is divided into three equal sections of 12 feet each, totaling 36 feet.- Two loads are applied to the beam: - A 75 kip load at 12 feet from the left end. - A 30 kip load at 24 feet from the left end.- Arrows indicating the direction of the loads show they are acting downward on the beam.The question asks whether the beam can adequately support these loads, considering potential lateral-torsional buckling effects.

Answered: Image /qna-images/answer/b63b6590-1fbe-4948-aac4-925740f01541.jpg

A W27x94 beam made of Gr. A992 steel is being used to support the factored live loads shown. You may neglect the self-weight of the beam. Is the beam adequate to support the given loads? 75kips 30 kips 12 ft 12 ft 12 ft

A W27x94 beam made of Gr. A992 steel is being used to support the factored live loads shown. You may neglect the self-weight of the beam. Is the beam adequate to support the given loads? 75kips 30 kips 12 ft 12 ft 12 ft

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

**Team Problem 7-1: Lateral-Torsional Buckling**

A W27x94 beam made of Gr. A992 steel is being used to support the factored live loads shown. You may neglect the self-weight of the beam. Is the beam adequate to support the given loads?

**Diagram Explanation:**

- The beam is labeled as W27x94, which indicates its size and weight per unit length.
- The beam is supported at each end. On the left, there is a simple support, and on the right, there is a roller support.
- The total length of the beam is divided into three equal sections of 12 feet each, totaling 36 feet.
- Two loads are applied to the beam:
- A 75 kip load at 12 feet from the left end.
- A 30 kip load at 24 feet from the left end.
- Arrows indicating the direction of the loads show they are acting downward on the beam.

The question asks whether the beam can adequately support these loads, considering potential lateral-torsional buckling effects.

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Step 1: Introduce the problem statement

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Step 2: List out section properties

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Step 3: Classify the section

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Step 4: Determine the formula for computing nominal moment capacity of beam

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Step 5: Plot bending moment diagram due to load acting on the beam

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Step 6: Compute Cb

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Step 7: Compute nominal moment capacity of beam

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Step 8: Check the adequacy of the section

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