Question

A beam is made from a round steel bar 30 mm diameter. At a point on the beam there is a small groove with a stress concentration factor of 1.22. At the same point, there is a bending moment that fluctuates from 200 Nm to 580 Nm producing tensile stress. The normal endurance limit is 215 MPa and the tensile strength is 780 MPa. There are no other factors to be considered. (Use steel modulus of elasticity, E = 205 GPa) Calculate the following. i. The maximum and minimum bending stress. (4 marks) ii. The stress amplitude (3 marks) iii. The mean stress. (3 marks) iv. The fatigue safety factor. (5 marks)

          A beam is made from a round steel bar 30 mm diameter. At a point on the beam there is a small groove with a stress concentration factor of 1.22. At the same point, there is a bending moment that fluctuates from 200 Nm to 580 Nm producing tensile stress. The normal endurance limit is 215 MPa and the tensile strength is 780 MPa. There are no other factors to be considered. (Use steel modulus of elasticity, E = 205 GPa)
Calculate the following.
i. The maximum and minimum bending stress. (4 marks)
ii. The stress amplitude (3 marks)
iii. The mean stress. (3 marks)
iv. The fatigue safety factor. (5 marks)

A beam is made from a round steel bar 30 mm diameter. At a point on the beam there is a small groove with a stress concentration factor of 1.22. At the same point, there is a bending moment that fluctuates from 200 Nm to 580 Nm producing tensile stress. The normal endurance limit is 215 MPa and the tensile strength is 780 MPa. There are no other factors to be considered. (Use steel modulus of elasticity, E = 205 GPa)
Calculate the following.
i. The maximum and minimum bending stress. (4 marks)
ii. The stress amplitude (3 marks)
iii. The mean stress. (3 marks)
iv. The fatigue safety factor. (5 marks)

Added by Amy L.

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