Reference no: EM13502910
1.
The component shown in Fig 1 is made from a material with the following properties and is subjected to a compressive force of SkN.
Material Properties :
Young's Modulus of Elasticity - 200 GNrne2
Modulus of Rigidity - 90 GNrriz
Poisons ratio - 0.32
Calculate :
(a) The stress in :
(i) the circular section
(ii) the square section
(b) The strain in :
(i) The circular section
(ii) The square section
(c) The change in length of the component
(d) The change in diameter of the circular section
(e) The change in the 40mm dimension on the square section
(f) If the same component were subjected to a shear force of 7 kN as shown in FIG 2. calculate the shear strain in :
The circular section
(ii) The square section
2. When the 5mm diameter bar shown in FIG 3 is subjected to a tensile force F.
Calculate :
(a) The yield stress of the material
(b) The force required to produce yield.
Young's Modulus for the bar material is 150 GNrn-2
3. A material is formed into a solid sphere and has a diameter of 100mm when at a pressure of 2MPa. If the diameter of the sphere reduces by 0.1mm when the pressure is increased to 6MPa. determine the bulk modulus of the material.
4. A material has a modulus of rigidity of 100 GNm'2 and a Young's Modulus of 250 GNm-2. Calculate the expected value of poisons ratio for the material.
5. The simply supported beam shown in FIG 4 is 5m long with a Young's Modulus of 210 GNm'. The cross section of the beam is as shown in FIG 5.
(a) Draw the shear force diagram for the beam
(b) Determine the position and magnitude of the maximum bending moment.
(c) Plot a graph of deflection along the length of the beam (calculate the deflection at lm intervals).
6. A cylindrical vessel 2m internal diameter and 4m long has a wall thickness of 6mm. Strain gauges are installed on the vessel to measure hoop strain.
E = 290 GNm2
Yield Stress = 500 MPa
(i) What is the maximum allowable pressure if a factor of safety of 4 is to be used?
(ii) What pressure would a strain of 40 pc indicate?
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