hibbeler question 4

Problem 1-54 The two members used in the construction of an aircraft fuselage are joined together using a 30° fish-mouth weld. Determine the average normal and average shear stress on the plane of each weld. Assume each inclined plane supports a horizontal force of 2 kN. Given: P 4.0kN := b 37.5mm := h half 25m := θ 30deg := Solution: Equations of Equilibrium: + ΣF x =0; V − 0.5P cos θ () ⋅ + 0 = V 0.5P cos θ () ⋅ := V 1.732 kN = + ΣF y =0; N 0.5P sin θ () ⋅ − 0 = N 0.5P sin θ () ⋅ := N 1 kN = Average Normal and Shear Stress: A h half ( ) b ⋅ sin θ () := σ N A := σ 533.33 Pa = Ans τ avg V A := τ avg 923.76 Pa = Ans

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Question 4

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Problem 1-54

The two members used in the construction of an aircraft fuselage are joined together using a 30°fish-mouth weld. Determine the average normal and average shear stress on the plane of each weld.Assume each inclined plane supports a horizontal force of 2 kN.

Given:

P 4.0kN:=

b 37.5mm:= hhalf 25m:=

θ 30deg:=

Solution:

Equations of Equilibrium:

+ ΣFx=0; V− 0.5P cos θ( )⋅+ 0=

V 0.5P cos θ( )⋅:= V 1.732 kN=

+ ΣFy=0; N 0.5P sin θ( )⋅− 0=

N 0.5P sin θ( )⋅:= N 1 kN=

Average Normal and Shear Stress:

Ahhalf( ) b⋅