problem 1 the round bar shown in figure 1 has a uniform elastic modulu

Question

Problem 1
The round bar shown in Figure 1 has a uniform elastic modulus of 180 GPa. A force with
magnitude Fo is applied at point B with the sense shown, where there is a step in the diameter. The
total length of the bar is 1 m. The diameters for each segment of the bar are: dan-30 mm and dac
-50 mm. If the normal stress in segment BC is -20 MPa and in segment AB is 60 MPa, find the
force Fo and the lengths LAB and Lac
LAB
Fo/2
dAB
Fol2 B
LBC
dBc
Figure 1: Round bar with point loads