3.97 In 1.85 In 4.93 In 22.05 lb Weight Pushing Down From Inside The Cabin Frame 0 In 1.05 In 5.50 In 1.15 In 4.20 In 3.75 In 1.35 0.15 In 1.18 In 2 In 1.30 In 0.30 In 0.30 In 6.05 In Direction Of The Load 22.05 lb

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem: Design and Analysis of Bubble Fuselage Frame

In the context of an aerospace design project, you are tasked with designing and analyzing the frame of a bubble fuselage. The frame is to be 3D printed using PLA material and must be capable of supporting a 22.05 lb load placed within the cabin space, with the direction of the load indicating the direction of deformation. You will need to perform a series of calculations and analyses to ensure that the design meets strength and safety requirements.

Data and Requirements:

Frame Dimensions: A blueprint is provided specifying the dimensions and geometry of the bubble fuselage frame. The thickness of the frame its 0.5 inch.

Material: The frame will be 3D printed in PLA material. The material properties of PLA are as follows:

Young's Modulus (E): 595669.99 Psi.

Yield Strength (σy): 9094.01119 Psi.

Density (ρ): 10.04515912 lb/in³

Load: A 22.05 lb load will be applied within the cabin space, with the load direction indicating the direction of deformation

Tasks to Perform:

( Remmember present the solution process with equations, procedure and results; use Von Mises Method when required)

Calculate the distributed load resulting from the 22.05 lb load distributed uniformly across the fuselage frame in inches.

Calculate the maximum stress in the fuselage frame under the 22.05 lb load in psi.

Determine the maximum deformation (deflection) of the fuselage frame under the 22.05 lb load in inches.

Calculate the maximum shear stress in the fuselage frame in psi.

Determine the maximum principal stress acting on the fuselage frame in psi and its direction.

Calculate the equivalent elastic strain and the maximum principal elastic strain in the fuselage frame.

Perform a safety factor analysis to determine if the design meets safety requirements. Apply an safety factor of 2.

3.97 In
1.85 In
4.93 In
22.05 lb Weight Pushing Down From
Inside The Cabin Frame
0 In
1.05 In
5.50 In
1.15 In
4.20 In
3.75 In
1.35
0.15 In
1.18 In
2 In
1.30 In
0.30 In
0.30 In
6.05 In
Direction Of The Load
22.05 lb
Transcribed Image Text:3.97 In 1.85 In 4.93 In 22.05 lb Weight Pushing Down From Inside The Cabin Frame 0 In 1.05 In 5.50 In 1.15 In 4.20 In 3.75 In 1.35 0.15 In 1.18 In 2 In 1.30 In 0.30 In 0.30 In 6.05 In Direction Of The Load 22.05 lb
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