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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.

Materials Science And Engineering Properties
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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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.

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
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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