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1. Indicate the points on the stress-strain diagram which represent the proportional limit, yield limit and the
ultimate stress. Determine the modulus of elasticity E.

2. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P  50kN .
The elongation of the rod is L  1.4mm . Determine the modulus of elasticity of the material.Assume that the
material does not yield.

3. The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 300 N is applied to it,
determine the change in its length and the change in its diameter. E  2.70GPa;  0.4 .

4. The rigid bar AB is supported by a steel rod BC having a diameter of d. If the allowable stress for the steel
is    19kN / cm 2 , and the modulus of elasticity of steel is E  2,1.10 4 kN / cm 2 . Determine the minimum
required diameter of rod BC. Determine the normal strain developed in rod BC. Determine the vertical
displacement of B.

5. The uniform beam is supported by two rods AB and CD that have cross-sectional areas of 10mm 2 and

15mm 2 , respectively. Determine the intensity q of the distributed load so that the stress in each rod does not
exceed 19kN / cm 2 . Determine the vertical displacement of A.

6. The solid circular shaft is subjected to an internal torque of T = 5 kN m . Determine the shear stress
developed at points A and B.

7. The hollow circular shaft is subjected to an internal torque of T = 10kN.m. Determine the shear stress
developed at points A and B.
8. The 25-mm-diameter shaft on the motor is made of a material having an allowable shear stress of
   4,5kN / cm2 . If the motor is operating at its maximum power of 5 kW, determine the minimum allowable
rotation of the shaft.

9. The motor A develops a power of 300W and turns its connected pulley at 90v/p Determine the required
diameters of the steel shafts on the pulleys at A and B if the allowable shear stress is    8,5kN / cm2 .
10. The drive shaft of the motor is made of a material having an allowable shear stress of    8,5kN / cm2 . If
the outer diameter of the tubular shaft is 20 mm and the wall thickness is 2.5 mm, determine the maximum
allowable power that can be supplied to the motor when the shaft is operating at an angular velocity of 1500v/p.

11. The A-36 steel shaft is supported on smooth bearings that allow it to rotate freely. If the gears are subjected
to the torques shown, determine the required diameter of the shaft to the nearest mm if  ...
1. Indicate the points on the stress-strain diagram which represent the proportional limit, yield limit and the
ultimate stress. Determine the modulus of elasticity E.
2. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of
50
P kN
.
The elongation of the rod is 1.4
L mm
. Determine the modulus of elasticity of the material.Assume that the
material does not yield.
3. The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 300 N is applied to it,
determine the change in its length and the change in its diameter.
2.70 ; 0.4
E GPa
.
4. The rigid bar AB is supported by a steel rod BC having a diameter of d. If the allowable stress for the steel
is
19 /
kN cm
, and the modulus of elasticity of steel is
4 2
2,1.10 /
E kN cm
. Determine the minimum
required diameter of rod BC. Determine the normal strain developed in rod BC. Determine the vertical
displacement of B.
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