A manufacturer wants to design a hydraulic floor crane that can lift an engine with a maximum weight of 5300 N. Two choices are considered for the beam ABC, a T‐beam and a C‐beam, as shown below. The beam has a uniform weight distribution (Ps  8000 kg/m3) Question: Calculate the area moment of inertia for each cross‐section.( for the T and C beam)

Elements Of Electromagnetics
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A manufacturer wants to design a hydraulic floor crane that can lift an engine with a maximum weight of 5300 N. Two choices are considered for the beam ABC, a T‐beam and a C‐beam, as shown below. The beam has a uniform weight distribution (Ps  8000 kg/m3)

Question: Calculate the area moment of inertia for each cross‐section.( for the T and C beam)

note: you might have to do the parallel axis theorem to solve. And the 70mm on the top of the C beam is supposed to got to the end of the top part of the C beam and not stop at the y prime axis(the whole to of the C beam is 100mm)

The image features two 3D models, each with detailed dimensions and axes indicated. 

**Left Model (T-Shaped Cross-Section):**
- Dimensions:
  - Top horizontal section: 150 mm (width) x 150 mm (depth)
  - Vertical section: 50 mm (width) x 250 mm (height)
- Axes:
  - The y-axis is vertical, passing through the center of the top section.
  - The x'-axis is horizontal, intersecting the center of the vertical section at point C.
  - The x-axis is below the structure, parallel to the x'-axis.
- The point C is marked at the intersection of x' and y' axes, centered vertically at 25 mm from the outer edge.

**Right Model (L-Shaped Cross-Section):**
- Dimensions:
  - Top horizontal section: 30 mm (height) x 70 mm (width)
  - Vertical section: 30 mm (height) x 140 mm (width)
  - Bottom horizontal section: 30 mm (height) x 170 mm (width)
- Axes:
  - The y-axis is vertical.
  - The x' and x-axes are horizontal, below the model, with the x-axis parallel and offset downward.
- The point C is marked at the intersection of the x- and y-axes, positioned inside the angle of the L-shape, 30 mm from both the top and bottom sections.

Both models are oriented with respect to their axes, highlighting structural dimensions commonly used in engineering and architecture applications.
Transcribed Image Text:The image features two 3D models, each with detailed dimensions and axes indicated. **Left Model (T-Shaped Cross-Section):** - Dimensions: - Top horizontal section: 150 mm (width) x 150 mm (depth) - Vertical section: 50 mm (width) x 250 mm (height) - Axes: - The y-axis is vertical, passing through the center of the top section. - The x'-axis is horizontal, intersecting the center of the vertical section at point C. - The x-axis is below the structure, parallel to the x'-axis. - The point C is marked at the intersection of x' and y' axes, centered vertically at 25 mm from the outer edge. **Right Model (L-Shaped Cross-Section):** - Dimensions: - Top horizontal section: 30 mm (height) x 70 mm (width) - Vertical section: 30 mm (height) x 140 mm (width) - Bottom horizontal section: 30 mm (height) x 170 mm (width) - Axes: - The y-axis is vertical. - The x' and x-axes are horizontal, below the model, with the x-axis parallel and offset downward. - The point C is marked at the intersection of the x- and y-axes, positioned inside the angle of the L-shape, 30 mm from both the top and bottom sections. Both models are oriented with respect to their axes, highlighting structural dimensions commonly used in engineering and architecture applications.
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