P19093: Over-Bed Hospital Table
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Feasibility Analysis

Feasibility Analysis

What are the forces acting on the table?
Solution: Draw a free body diagram
Forces:
Free Body Diagram

Free Body Diagram


Tabeletop Center of Gravity, Forces, and Moment Calculations

Using the defined engineering requirements, hand calculations were done to determine what weight the base, tabletop, and supporting rod need to be under different scenarios.

The overall dimensions, and Free-Body Diagram of external and internal forces on the table are shown.

Bedside Table Dimensions

Bedside Table Dimensions

Free Body Diagram and Reactionary Forces on Each Part

Free Body Diagram and Reactionary Forces on Each Part

There are 2 scenarios that need to be considered:

2 Cases

2 Cases

Case 2 is the worst case scenario because the weight of the entire tabletop is located on one half of the entire bedside table.

Case 1 & 2 complete calculations for the moments, force, and total mass of the table:

The following shows what the mass of the base needs to be to support the mass of the tabletop. The mass of the base and tabletop is dependent of what the tabletop material is.

ABS Plastic (filled)

ABS Plastic (hollow)

Calculations [here]

Poplar Wood (filled)

Determining mass of the table requirements

Determining mass of the table requirements

Density
We want to aim for a low density so we have a lightweight table.

Center of Gravity
Center of Gravity = (9.75 in, 20.19 in) Center of Mass = (7.377 in, 18.104 in)

Determining Center of Gravity and Center of Mass

Determining Center of Gravity and Center of Mass

Supporting Rod Feasibility

What is the reactionary moment on the supporting rod?
Assumptions:

Free Body Diagram of Table Top

Free Body Diagram of Table Top

Equation: F = ma
Force and Moment Calculations

Force and Moment Calculations

Supporting rod volume calculations [here]
Supporting Rod Sketch

Supporting Rod Sketch

Area & Pressure Calculations

Area & Pressure Calculations


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