Problem 9.17 aircraft structure, Megson

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SUMMARY

The discussion centers on solving Problem 9.17 from the book "Aircraft Structures for Engineering Students" by Megson, which involves calculating the position of the shear center S for a thin-walled beam with specific dimensions and properties. The problem states that the direct stresses are carried by the booms B1 to B4, while the walls only carry shear stresses. Given the cell area of 135,000 mm² and the areas of the booms, the solution concludes that the shear center is located 197.2 mm from the vertical through booms B2 and B3.

PREREQUISITES
  • Understanding of shear center concepts in structural engineering
  • Familiarity with thin-walled beam theory
  • Knowledge of direct and shear stress distribution
  • Proficiency in calculating areas and moments of inertia
NEXT STEPS
  • Study the theory of shear centers in thin-walled structures
  • Learn to apply the basic theory of bending to structural problems
  • Explore the calculation of shear modulus in different materials
  • Review examples of similar problems in "Aircraft Structures for Engineering Students" by Megson
USEFUL FOR

This discussion is beneficial for structural engineers, aerospace engineering students, and anyone involved in the analysis and design of aircraft structures, particularly those focusing on thin-walled beams and shear stress calculations.

sohaib
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does anyone know the solution of problem 9.17 of the book Aircraft structures for engineering students or

help me with how to approach to solve the problem.
regards,
 
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Problem Aircraft Structure 9.17

Figure shows the cross section of a single cell, thin walled
beam with the horizontal axis of symmetry. The direct stresses are carried
by the booms B1 to B4, while the walls are effective only in carrying shear
stresses. Assuming that the basic theory of bending is applicable, calculate
the position of the shear center S. The shear modulus G is the same for all walls.

Cell Area = 135000 mm^2
Boom Areas B1 = B4 = 450 mm^2, B2 = B3 = 550 mm^2

Wall Length(mm) Thickness(mm)
12,34 500 0.8
23 580 1.0
41 200 1.2

Ans: 197.2 mm from vertical through booms 2 and 3.


please if anyone can help me it would be most appreciated.
 

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