is nigidly attached between a and a bronze rod as shown in Figure 3. Axial loads are applied at the positions indicated. (a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminium of 90 MPa, or in bronze of 100 MPa. (b) Using the answer from question (a), determine the total elongation of the rods.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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An aluminium rod is rigidly attached between a steel rod and a bronze rod as shown
in Figure 3. Axial loads are applied at the positions indicated.
(a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa,
in aluminium of 90 MPa, or in bronze of 100 MPa.
(b) Using the answer from question (a), determine the total elongation of the rods.
Steel
Aluminium
A = 500 mm?
Bronze
A = 400 mm?
E = 200 GPa
A = 200 mm?
F = 70 GPa
E = 83 GPa
4P
2P
2.5 m
2.0 m
1.5 m
Figure 3
Transcribed Image Text:An aluminium rod is rigidly attached between a steel rod and a bronze rod as shown in Figure 3. Axial loads are applied at the positions indicated. (a) Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminium of 90 MPa, or in bronze of 100 MPa. (b) Using the answer from question (a), determine the total elongation of the rods. Steel Aluminium A = 500 mm? Bronze A = 400 mm? E = 200 GPa A = 200 mm? F = 70 GPa E = 83 GPa 4P 2P 2.5 m 2.0 m 1.5 m Figure 3
Two initially straight bars are joint together and attached to support as shown in
Figure 4. Let us suppose that the system is initially stress free and that the temperature
then drops 20°C.
(a) If the supports are unyielding, find the normal stress in each bar.
(b) If the right support yields 0.1 mm, find the normal stress in each bar.
Aluminium
Brass
E = 70 GPa
E = 90 GPa
a = 20 x 10/°C
A = 500 mm?
a = 25 x 10*/°C
A = 750 mm?
500 mm
250 mm
Figure 4
Transcribed Image Text:Two initially straight bars are joint together and attached to support as shown in Figure 4. Let us suppose that the system is initially stress free and that the temperature then drops 20°C. (a) If the supports are unyielding, find the normal stress in each bar. (b) If the right support yields 0.1 mm, find the normal stress in each bar. Aluminium Brass E = 70 GPa E = 90 GPa a = 20 x 10/°C A = 500 mm? a = 25 x 10*/°C A = 750 mm? 500 mm 250 mm Figure 4
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