The cross-section of beam shown in Figure Q2 (centroid in red) is subjected to pure bending. Taking elasticity module E = 210 GPa , yield stress ay = 300 MPa, ultimate stress o, = 500 MPa and second moment of area I,, = 3,985,000 mm a) Determine the bending moment about the z-axis that causes plasticity in half of the flange %3D b) Calculate the shape factor of the cross-section. c) Show in detail the progression of the stress distribution: o at the initiation of yielding o when plasticity has crept into half of the flange at full plastic section d) State and explain Miner's Rule in the context of life of a mechanical component and show a short application example. 120 10 37.5 120mm Kindly solve all parts of the questions, it's urgent i need a solution in 10 mins. will upvote.

The cross-section of beam shown in Figure Q2 (centroid in red) is subjected to pure bending. Taking elasticity module E = 210 GPa , yield stress ay = 300 MPa, ultimate stress o, = 500 MPa and second moment of area I,, = 3,985,000 mm a) Determine the bending moment about the z-axis that causes plasticity in half of the flange %3D b) Calculate the shape factor of the cross-section. c) Show in detail the progression of the stress distribution: o at the initiation of yielding o when plasticity has crept into half of the flange at full plastic section d) State and explain Miner's Rule in the context of life of a mechanical component and show a short application example. 120 10 37.5 120mm Kindly solve all parts of the questions, it's urgent i need a solution in 10 mins. will upvote.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.5.1P: A beam with a channel section is subjected to a bending moment M having its vector at an angle 0 to...

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The cross-section of beam shown in Figure Q2 (centroid in red) is subjected to pure
bending. Taking elasticity module E = 210 GPa , yield stress oy = 300 MPa, ultimate
stress o, = 500 MPa and second moment of area I, = 3,985,000 mm*
a) Determine the bending moment about the z-axis that causes plasticity in half
of the flange
b) Calculate the shape factor of the cross-section.
c) Show in detail the progression of the stress distribution:
o at the initiation of yielding
o when plasticity has crept into half of the flange
at full plastic section
d) State and explain Miner's Rule in the context of life of a mechanical
component and show a short application example.
120
10 +
37.5
120mm
Kindly solve all parts of the questions, it's urgent.
i need a solution in 10 mins. will upvote.

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