Two 20 × 100-mm and two 20 × 180-mm boards are glued together as shown to form a 120 × 200-mm box beam. Know that the beam is subjected to a vertical shear of 3.625 kN. Determine the average shearing stress in the glued joint at B.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Two 20 × 100-mm and two 20 × 180-mm boards are glued together as shown to form a 120 × 200-mm box beam. Know that the beam is subjected to a vertical shear of 3.625 kN.

Determine the average shearing stress in the glued joint at B.

The image depicts a rectangular wooden frame with detailed dimensions. The dimensions provided are labeled for clarity and ease of understanding. This detailed explanation is useful for educational purposes to understand the geometry and measurements involved in constructing such a frame.

### Description:

- The rectangular frame is oriented vertically.
- The frame border is uniformly 20 mm thick.
- The external horizontal width (from point A to point B) of the frame is 100 mm.
- The external vertical height (from point C to point D) of the frame is 180 mm.
- The internal vertical height (from A to C and C to D) of the frame excluding the border area is also depicted to be centered within 180 mm height minus the border thickness at both ends.
- Similarly, the internal horizontal width (from A to C excluding the border area is also centered within 100 mm width minus the border thickness.

### Key Measurements:

- **Horizontal Thickness (Border):** 20 mm
- **Vertical Thickness (Border):** 20 mm
- **Width (Outer):** 100 mm
- **Height (Outer):** 180 mm

This frame can be used as an example in educational materials to discuss basic geometric principles, measurements, and design concepts.
Transcribed Image Text:The image depicts a rectangular wooden frame with detailed dimensions. The dimensions provided are labeled for clarity and ease of understanding. This detailed explanation is useful for educational purposes to understand the geometry and measurements involved in constructing such a frame. ### Description: - The rectangular frame is oriented vertically. - The frame border is uniformly 20 mm thick. - The external horizontal width (from point A to point B) of the frame is 100 mm. - The external vertical height (from point C to point D) of the frame is 180 mm. - The internal vertical height (from A to C and C to D) of the frame excluding the border area is also depicted to be centered within 180 mm height minus the border thickness at both ends. - Similarly, the internal horizontal width (from A to C excluding the border area is also centered within 100 mm width minus the border thickness. ### Key Measurements: - **Horizontal Thickness (Border):** 20 mm - **Vertical Thickness (Border):** 20 mm - **Width (Outer):** 100 mm - **Height (Outer):** 180 mm This frame can be used as an example in educational materials to discuss basic geometric principles, measurements, and design concepts.
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