P.36 5.6 The figure below shows the interior cross-section of a loaded beam. The
ID: 2086600 • Letter: P
Question
P.36 5.6 The figure below shows the interior cross-section of a loaded beam. The stringers have already been idealized; i.e., their areas are effective areas. The shear force found on this interior beam section is the 1,000 lb force shown. (a) Give the sign& magnitude of V, & V, that you would use in the general shear flow formula. (b) Find the shear flows & SHOW YOUR ANSWER ON A DIAGRAM. r10" 1,000 lb 60° Stringer Cross-Sectional Areas A & B: 2 in2 each C & D: 1 in2 each Some Answers V, -866.0 lb 22.28 20.28 66.33 26.00Explanation / Answer
Ans.
When a transverse Shear force is applied to a structure, such as beam, the result is variation in bending normal stress along the lenght of the beam.
Shear flow is used to analyze semi-monocogue structure, which can be idealized using the skin-stringer model.
Now, given stress is 1000 lb.
Stress in y direction
Sy= 1000 sin(60)
= 866.02
In z direction
Sz = 1000 cos(60)
= 500
1st moment ( Q )
Moment of inertia ( I )
Sy = Vy.Q/I
For Q=I=1
Sy = 866.02
And
Sx = 500
b) shear will flow from B to A and C to D and combinely from AB to CD.
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