An unsymmetrical flexural built-up shape member consists of a 2 inch x 20 inch top flange and a 2 inch x 15 inch bottom flange and a ½ inch x 40 inch web. a. Determine the distance “y" from the top of the shape to the horizontal plastic neutral axis. b. If the steel is A572, Grade 50, what is the Plastic Moment, Mp, in ft-kips? Answer: 2 x 20 Plate Mp P.N.A. ½ x 40 Plate 2 x 15 Plate
An unsymmetrical flexural built-up shape member consists of a 2 inch x 20 inch top flange and a 2 inch x 15 inch bottom flange and a ½ inch x 40 inch web. a. Determine the distance “y" from the top of the shape to the horizontal plastic neutral axis. b. If the steel is A572, Grade 50, what is the Plastic Moment, Mp, in ft-kips? Answer: 2 x 20 Plate Mp P.N.A. ½ x 40 Plate 2 x 15 Plate
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:**Problem Statement:**
An unsymmetrical flexural built-up shape member consists of:
- a 2 inch x 20 inch top flange
- a 2 inch x 15 inch bottom flange
- a ½ inch x 40 inch web
**Tasks:**
a. Determine the distance “y” from the top of the shape to the horizontal plastic neutral axis.
b. If the steel is A572, Grade 50, what is the Plastic Moment, \( M_p \), in ft-kips?
**Diagram Explanation:**
The diagram illustrates an I-shaped cross-section with the following components:
- **Top Flange:** Labeled as "2 x 20 Plate," indicating a 2-inch by 20-inch rectangular plate at the top.
- **Web:** Labeled as "½ x 40 Plate," indicating a ½-inch by 40-inch vertical plate connecting the top and bottom flanges.
- **Bottom Flange:** Labeled as "2 x 15 Plate," indicating a 2-inch by 15-inch rectangular plate at the bottom.
The diagram shows the vertical distance “\(\overline{y}\)” from the top of the shape to the horizontal line marked as “P.N.A.” (Plastic Neutral Axis).
**Answer:**
\(\overline{y}\) = _______________
\( M_p \) = _______________ ft-kips
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