Concept explainers
The rod ABC is made of an aluminum for which E = 70 GPa. Knowing that P = 6 kN and Q = 42 kN, determine the deflection of (a) point A, (b) point B.
Fig. P2.19 and P2.20
a)
The deflection of the point A
Answer to Problem 20P
The deflection of the point A
Explanation of Solution
Given information:
The Young’s modulus of the aluminium (E) is
The force at the point A (P) is
The force at the point B (Q) is
The diameter of the rod AB
The diameter of the rod BC
The length of the rod AB
The length of the rod BC
Calculation:
Calculate the cross-sectional area of the rod AB
Substitute
Calculate the cross-sectional area of the rod BC
Substitute
Calculate the defection of the rod AB
Substitute
Calculate the defection of the rod BC
Substitute
Calculate the deflection of the point A
Substitute
Hence, the deflection of the point A
b)
The deflection of point the B
Answer to Problem 20P
The deflection of the B
Explanation of Solution
Given information:
The Young’s modulus of the aluminium (E) is
The force at the point A (P) is
The force at the point B (Q) is
The diameter of the rod AB
The diameter of the rod BC
The length of the rod AB
The length of the rod BC
Calculation:
Calculate the cross-sectional area of the rod AB
Substitute
Calculate the cross-sectional area of the rod BC
Substitute
Calculate the defection of the rod AB
Substitute
Calculate the defection of the rod BC
Substitute
The deflection of the point B
Therefore, the deflection of the point B
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Chapter 2 Solutions
Mechanics of Materials, 7th Edition
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