A balsa wood glider wing has the following properties during flight:
Thickness = 0.3175 cm
I = 0.0733 cm^4
Moment = 4.2 N-cm
Find the bending stress in the wing. Express your answer in N/m^2.
Is the answer 9.09 N/m^2 or 18.19 N/m^2
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A balsa wood glider wing has the following properties during flight:
Thickness= 0.3175 cm
I= 0.0733 cm^4
Moment= 4.2 N-cm
Find the bending stress in the wing. Express your answer in N/m^2.
Is the answer either 9.096 N/m^2 or 18.192 N/m^2
To find the bending stress in the wing, we can use the formula:
Stress = Moment * y / I
Where:
- Stress is the bending stress in N/m^2
- Moment is the bending moment in N-cm
- y is the distance from the neutral axis to the outermost fiber in cm
- I is the moment of inertia in cm^4
Given:
Thickness = 0.3175 cm
Moment = 4.2 N-cm
I = 0.0733 cm^4
To find the distance 'y', we need to calculate the distance from the neutral axis to the outermost fiber. For a wing of uniform thickness, the neutral axis is at the center of the wing, so y would be half the thickness:
y = Thickness / 2
y = 0.3175 cm / 2
y = 0.1587 cm
Now we can substitute the values into the formula:
Stress = Moment * y / I
Stress = 4.2 N-cm * 0.1587 cm / 0.0733 cm^4
Stress = 9.09 N/m^2 (rounded to two decimal places)
Therefore, the bending stress in the wing is 9.09 N/m^2, not 18.19 N/m^2.