The built-up girder below is comprised of four A572 Grade 50 plates welded together. Compute the section modulus (S), plastic modulus (Z₁), and shape factor (Z₁/S₂). Using Table B41.b of the Specification, determine whether the flanges and web are compact, noncompact, or slender. -PL 1" x 40" 10" CLEAR SPACING PL 1.5" x 20" TYP

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Text Transcription for Educational Website:**

The built-up girder below is comprised of four A572 Grade 50 plates welded together. Compute the section modulus (\(S_x\)), plastic modulus (\(Z_x\)), and shape factor (\(Z_x/S_x\)). Using Table B41.b of the *Specification*, determine whether the flanges and web are compact, noncompact, or slender.

**Diagram Explanation:**

The diagram represents a cross-section of a built-up girder. It consists of:

- **Top Flange:** Labeled as "PL 1'' x 40''" indicating a plate thickness of 1 inch and a width of 40 inches.
- **Web:** Labeled as "10'' CLEAR SPACING," indicating a separation of 10 inches between the top and bottom flanges.
- **Bottom Flange:** Labeled as "PL 1.5'' x 20'' TYP," indicating a plate thickness of 1.5 inches and a width of 20 inches. The note "TYP" suggests typical application for similar components.

The diagram is essential for calculating the section and plastic modulus and determining the shape factor, which are critical in assessing the girder's structural capacity.
Transcribed Image Text:**Text Transcription for Educational Website:** The built-up girder below is comprised of four A572 Grade 50 plates welded together. Compute the section modulus (\(S_x\)), plastic modulus (\(Z_x\)), and shape factor (\(Z_x/S_x\)). Using Table B41.b of the *Specification*, determine whether the flanges and web are compact, noncompact, or slender. **Diagram Explanation:** The diagram represents a cross-section of a built-up girder. It consists of: - **Top Flange:** Labeled as "PL 1'' x 40''" indicating a plate thickness of 1 inch and a width of 40 inches. - **Web:** Labeled as "10'' CLEAR SPACING," indicating a separation of 10 inches between the top and bottom flanges. - **Bottom Flange:** Labeled as "PL 1.5'' x 20'' TYP," indicating a plate thickness of 1.5 inches and a width of 20 inches. The note "TYP" suggests typical application for similar components. The diagram is essential for calculating the section and plastic modulus and determining the shape factor, which are critical in assessing the girder's structural capacity.
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