Question 1
The aluminum rod ABC(E=70GPa), which consists of two cylindrical portions AB and BC, is
to be replaced by a cylindrical steel rodDE(E=200GPa) of the same overall length as shown in
Figure 1 .
(15 marks)
Figure 1
(a) Determine the vertical deformation of the aluminum rodABC when a force of 110kN is
applied.
(b) Determine the minimum required diameter d of the steel rodDE if its vertical deformation is
not to exceed that of the aluminum rod in part (a) and the allowable stress in the steel rod is not
to exceed 165MPa.
Question 1
The aluminum rod ABC (E = 70 GPa). which consists of two cylindrical portions AB and BC, is to be replaced by a cylindrical steel rod DE (E = 200 GPa) of the same overall length as shown in Figure 1. (15marks)
110 kN
110 kN
A
D
300 mm
38 mm
B
58 mm
450 mm
F.
Figure 1
a) Determine the vertical deformation of the aluminum rod ABC when a force of 110 kN is applied. (b) Determine the minimum required diameter d of the steel rod DE if its vertical deformation is not to exceed that of the aluminum rod in part (a) and the allowable stress in the steel rod is not to exceed 165 MPa.