A cantilever beam is subjected to a concentrated load of 2000N. The cross sectional dimensions of the double-tee beam are shown. Determine (a) the shear stress at point H, which is 17 mm below the centroid of the double-tee shape, (b) the shear stress at point K, which is 5 mm above the centroid of the double tee shape, and (c) the maximum horisontal shear stress in the double tee shape.
A cantilever beam is subjected to a concentrated load of 2000N. The cross sectional dimensions of the double-tee beam are shown. Determine (a) the shear stress at point H, which is 17 mm below the centroid of the double-tee shape, (b) the shear stress at point K, which is 5 mm above the centroid of the double tee shape, and (c) the maximum horisontal shear stress in the double tee shape.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A cantilever beam is subjected to a concentrated load of 2000N. The cross sectional dimensions of the double-tee beam are shown. Determine (a) the shear stress at point H, which is 17 mm below the centroid of the double-tee shape, (b) the shear stress at point K, which is 5 mm above the centroid of the double tee shape, and (c) the maximum horisontal shear stress in the double tee shape.
![### Diagram and Explanation:
The image consists of a 3D perspective and a schematic view of an I-beam, mounted horizontally and subjected to a vertical point load.
#### 3D Perspective:
- The I-beam is fixed at one end to a wall using four bolts and is subjected to a downward force of 2,000 N at its free end.
- The axes are labeled with `y` pointing upwards, `z` pointing horizontally into the page, and `x` along the length of the beam.
#### Schematic Cross-section:
- The cross-section of the I-beam is T-shaped. The dimensions are given:
- Total width of the top flange: 56 mm
- Thickness of the top flange: 3 mm
- Height of the web: 42 mm
- Thickness of the web: 5 mm
- Dimensions for the segments of the flange around the web are 20 mm each.
- Key points marked on the cross-section:
- **Point K**: Located at the centroid of the beam section.
- **Point H**: Positioned at 17 mm below the top flange, along the vertical web.
### Calculation Fields:
- The shear stress at point **H**:
| | |
|-------------------------------------------------|---------------------------------------------------|
| The shear stress at point **H**: | |
| The shear stress at point **K**: | |
| The maximum horizontal shear stress: | |
These placeholders are meant for inputting calculated values of shear stress at specified points on the I-beam.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe389a6be-22a8-4516-955c-095928c64efd%2F84723a9c-2dbf-4c18-9561-a770af46c0df%2Fr71a7z_processed.png&w=3840&q=75)
Transcribed Image Text:### Diagram and Explanation:
The image consists of a 3D perspective and a schematic view of an I-beam, mounted horizontally and subjected to a vertical point load.
#### 3D Perspective:
- The I-beam is fixed at one end to a wall using four bolts and is subjected to a downward force of 2,000 N at its free end.
- The axes are labeled with `y` pointing upwards, `z` pointing horizontally into the page, and `x` along the length of the beam.
#### Schematic Cross-section:
- The cross-section of the I-beam is T-shaped. The dimensions are given:
- Total width of the top flange: 56 mm
- Thickness of the top flange: 3 mm
- Height of the web: 42 mm
- Thickness of the web: 5 mm
- Dimensions for the segments of the flange around the web are 20 mm each.
- Key points marked on the cross-section:
- **Point K**: Located at the centroid of the beam section.
- **Point H**: Positioned at 17 mm below the top flange, along the vertical web.
### Calculation Fields:
- The shear stress at point **H**:
| | |
|-------------------------------------------------|---------------------------------------------------|
| The shear stress at point **H**: | |
| The shear stress at point **K**: | |
| The maximum horizontal shear stress: | |
These placeholders are meant for inputting calculated values of shear stress at specified points on the I-beam.
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