**Text Transcription:**"For the cross sections shown in Figs. P9-5 and P9-6, compute:a. the gross moment of inertia, \( I_g \);b. the location of the neutral axis of the cracked section and \( I_{cr} \); andc. \( I_e \) for \( M_a = 0.55M_n \).*Fig. P9-5*"**Diagram Explanation:**The diagram in Fig. P9-5 illustrates a rectangular cross section of concrete reinforced with steel bars. The rectangle has a height of 26 inches and a width of 16 inches. At the bottom of the rectangle, there are six circles representing "6 No. 8 bars," indicating the presence of six reinforcing steel bars. These bars are typically used to enhance the tensile strength of the concrete section.

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9-5 and 9-6 For the cross sections shown in Figs. P9-50 and P9-6, compute a. the gross moment of inertia, Ii b. the location of the neutral axis of the cracked section and Ir; and c. Ie for M₁ = 0.55Mn. Ma

9-5 and 9-6 For the cross sections shown in Figs. P9-50 and P9-6, compute a. the gross moment of inertia, Ii b. the location of the neutral axis of the cracked section and Ir; and c. Ie for M₁ = 0.55Mn. Ma

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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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

**Text Transcription:**

"For the cross sections shown in Figs. P9-5 and P9-6, compute:

a. the gross moment of inertia, \( I_g \);

b. the location of the neutral axis of the cracked section and \( I_{cr} \); and

c. \( I_e \) for \( M_a = 0.55M_n \).

*Fig. P9-5*"

**Diagram Explanation:**

The diagram in Fig. P9-5 illustrates a rectangular cross section of concrete reinforced with steel bars. The rectangle has a height of 26 inches and a width of 16 inches. At the bottom of the rectangle, there are six circles representing "6 No. 8 bars," indicating the presence of six reinforcing steel bars. These bars are typically used to enhance the tensile strength of the concrete section.

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Step 1: Introduce the problem statement

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Step 2: Compute gross moment of Inertia

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Step 3: Compute cracking moment of Inertia

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Step 4: Locate neutral axis

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Step 5: Compute cracked moment of Inertia

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Step 6: Compute nominal moment capacity

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Step 7: Compute effective moment of Inertia

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