Two vertical forces, each of magnitude P= 14 kips, are applied to a beam of the cross section shown. Determine the maximum tensile and compressive stresses in portion BC of the beam. 3 in. 3 in. 3 in. 6 in. 2 in. P. C D -60 in.→ 40 in. 40 in. The maximum tensile stress is |ksi. |ksi. The maximum compressive stress is

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Problem Description:**

Two vertical forces, each of magnitude \( P = 14 \) kips, are applied to a beam with the cross-section shown. Determine the maximum tensile and compressive stresses in portion \( BC \) of the beam.

**Cross-Section Details:**

- The cross-section of the beam is T-shaped.
- The vertical section is 6 inches in height.
- The horizontal section is 2 inches in height (making the total height 8 inches).
- The horizontal top section has a breadth of 6 inches.

**Beam Configuration:**

- The beam is supported at points \( A \) and \( D \).
- The span \( AB \) and \( CD \) are both 40 inches each.
- The span \( BC \) is 60 inches.
- Vertical forces \( P \) are applied downward at points \( B \) and \( C \).

**Stress Calculation Results:**

- The maximum tensile stress is [___] ksi.
- The maximum compressive stress is [___] ksi.

**Diagram Explanation:**

The diagram consists of a beam supported at two points at its ends. Two forces labeled \( P \) are applied downwards near each end closer to the supports. The cross-section is detailed above the diagram, emphasizing the T-shape and dimensions.
Transcribed Image Text:**Problem Description:** Two vertical forces, each of magnitude \( P = 14 \) kips, are applied to a beam with the cross-section shown. Determine the maximum tensile and compressive stresses in portion \( BC \) of the beam. **Cross-Section Details:** - The cross-section of the beam is T-shaped. - The vertical section is 6 inches in height. - The horizontal section is 2 inches in height (making the total height 8 inches). - The horizontal top section has a breadth of 6 inches. **Beam Configuration:** - The beam is supported at points \( A \) and \( D \). - The span \( AB \) and \( CD \) are both 40 inches each. - The span \( BC \) is 60 inches. - Vertical forces \( P \) are applied downward at points \( B \) and \( C \). **Stress Calculation Results:** - The maximum tensile stress is [___] ksi. - The maximum compressive stress is [___] ksi. **Diagram Explanation:** The diagram consists of a beam supported at two points at its ends. Two forces labeled \( P \) are applied downwards near each end closer to the supports. The cross-section is detailed above the diagram, emphasizing the T-shape and dimensions.
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