Question

a) A bar made of aluminium has the dimensions shown in Figure Q2(a). Two axial forces are applied to the bar. Calculate the force in y direction so that the total length in x direction contracts 0.08 mm. The material behaves elastically. The Young's modulus for aluminium is given as 70 GPa and v = 0.29. [10 marks] Fy 40 mm 60 mm 40 kN 40 kN x z Fy 80 mm Figure Q2(a)

          a) A bar made of aluminium has the dimensions shown in Figure Q2(a). Two axial forces are applied to the bar. Calculate the force in y direction so that the total length in x direction contracts 0.08 mm. The material behaves elastically. The Young's modulus for aluminium is given as 70 GPa and v = 0.29.
[10 marks]
Fy
40 mm
60 mm
40 kN
40 kN
x
z
Fy
80 mm
Figure Q2(a)

a) A bar made of aluminium has the dimensions shown in Figure Q2(a). Two axial forces are applied to the bar. Calculate the force in y direction so that the total length in x direction contracts 0.08 mm. The material behaves elastically. The Young's modulus for aluminium is given as 70 GPa and v = 0.29.
[10 marks]
Fy
40 mm
60 mm
40 kN
40 kN
x
z
Fy
80 mm
Figure Q2(a)

Added by Lisa W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kritika Mishra

05/04/2022

Step 1

- Young's modulus, \( E = 70 \, \text{GPa} = 70 \times 10^3 \, \text{MPa} \) - Poisson's ratio, \( v = 0.29 \) - Initial length in the x-direction, \( L_x = 80 \, \text{mm} \) - Change in length in the x-direction, \( \Delta L_x = -0.08 \, \text{mm} \) - Axial Show more…

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A bar made of aluminium has the dimensions shown in Figure Q2(a). Two axial forces are applied to the bar. Calculate the force in y direction so that the total length in x direction contracts 0.08 mm. The material behaves elastically. The Young's modulus for aluminium is given as 70 GPa and v = 0.29. [10 marks] 40 mm 60 mm 40 kN 40 kN 80 mm Figure Q2(a)