tutorial10 - o ) 4. A round axle (see figure) is made of...

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ME 1300: Statics – Tutorial 10 1. A concrete pedestal (see figure) of circular cross section has an upper part of diameter 0.5 m and height a=0.5 m and a lower part of diameter 1.0 m and height b=1.2 m . It is subjected to loads P 1 =7 MN and P 2 =18 MN . Assuming E=25 GPa , calculate the deflection at the top of the pedestal. (Ans. 2.24mm). 2. A steel bar 3 m long has a circular cross section of diameter d 1 =20 mm over one-half of its length and diameter d 2 =12 mm over the other half (see figure). (a) How much will the bar elongate under a tensile load P = 22 kN ? (b) If the same volume of material is rolled into a bar of constant diameter d and length 3 m , what will be the elongation under the same load P ? (Assume E=200 GPa .) (Ans. 1.54mm)
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3. A prismatic bar of cross-sectional area A is subjected to an axial tensile stress σ x = P/A (see figure). The stresses on an inclined plane pq are σ θ =81 MPa and τ θ =-27 MPa . Find the axial stress σ x and the angle θ. (Ans. 90 MPa, 18.4
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Unformatted text preview: o ) 4. A round axle (see figure) is made of oak having an allowable stress in shear, parallel to the grain, of 2 MPa. If the axle has a diameter of 60 mm , what is the maximum permissible torque T that can be applied? (Ans. 84.8 N-m) 5. What length is required for a solid steel shaft 12 mm in diameter so that the cross section at one end can be rotated 90 o with respect to the other end without exceeding an allowable shear stress of 70 MPa in the shaft? (Assume G=80GPa .) (Ans. 10.8m) 6. A solid steel bar of circular cross section is twisted by torques applied at the ends (see figure). If the angle of rotation of the cross section at one end with respect to the other end is 0.05 rad , what is the maximum shear stress max and maximum shear strain max in the bar? (The bar has length L=2 m , diameter d=40 mm , and G=80 GPa .) (Ans. 40 MPa, 0.0005 rad.)...
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This note was uploaded on 04/20/2011 for the course ENG 1333 taught by Professor Brr during the Spring '10 term at American College of Computer & Information Sciences.

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tutorial10 - o ) 4. A round axle (see figure) is made of...

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