Deformation
of a Circular Bar
|
*Example: Bar ABCD
shown below is subjected to applied loading F2 and F3. L1 = 1.0 m, L2
= 0.4 m, L3 = 0.6 m, F2 = 15 kN,
and F3 = 9 kN . The bar has
cross- sectional area, A. The modulus of elasticity is E. Find the value of F1 such that the total elongation of the bar is
zero. |
|
Strategy: Use a free body diagram to
determine the axial force in each section of the bar. Then apply the relation
for axial deformation, δi = PiLi/AiEi , for each section to determine the deformation related to
each section. The deformations must
then sum to zero.
↑ΣFx
= 0 FAB + F1 - F2 - F3 = 0 and for the data: FAB = 24 - F1 Click here to continue with this
example. |
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