shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa). The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40 kN force is applied at B in the direction as shown. If the compound rod is unstressed before the application of load, (a) determine the reaction at A and C. (b) determine the horizontal displacement of point B.
shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa). The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40 kN force is applied at B in the direction as shown. If the compound rod is unstressed before the application of load, (a) determine the reaction at A and C. (b) determine the horizontal displacement of point B.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Figure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa).
The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40 kN force is applied at B in the direction as shown. If the compound rod is unstressed before the
application of load,
(a) determine the reaction at A and C.
(b) determine the horizontal displacement of point B.
Transcribed Image Text:Figure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made
from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa).
The diameter of part AB and the intermal and external diameters of part BC are as shown in figure. A 40
kN force is applied at B in the direction as shown. If the compound rod is unstressed before the
application of load,
Q1
(a)
(b)
determine the reaction at A and C.
determine the horizontal displacement of point B.
40
40
A
B
wall
40 kN
wal
-Ø11.5
-015
07.5
All lengths are in mm.
FIGURE Q1
Q2 A 1 meter long steel rod AB of 15-mm diameter is held snugly (without any initial stresses) between
rigid walls by the arrangement shown in the Figure Q3. (For the steel rod, use E = 200 GPa. a = 12 x
10-6/°C, and oy = 250 MPa.)
a)
If the rod undergoes a temperature drop of 24°C, and the bolt at B is tightened causing the rod
to elongate by 0.0566 mm, determine
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