Question

Pick the correct relationship: Select one: | σ/ρ | = | M/I | = | E/y...

Pick the correct relationship:

Select one:

| σ/ρ | = | M/I | = | E/y |

| σ/y | = | M/ρ | = | E/I |

| σ/I | = | M/y | = | E/ρ |

| σ/y | = | M/I | = | E/ρ |

Engineering   Civil-Engineering   
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Answer #1

Ans : Its is a bending moment equation , in which the best option is D => σ/y = M/I = E/R , but here is a slight error in the equation that you have presented , In place ρ it should be R . This is the correct equation for bending moment , which is mentioned below :

where ,   M = Bending Moment

I = Moment Of Inertia bout x-x axis

E = Young`s Modulus

  y = Distance of element from central axis

σ = Bending stress

R = Radius Of Curvature

EXTRA INFORMATION : ( ASSUMPTION TAKEN IN BENDING MOMENT )

  • It obeys Hooke`s Law
  • Material of the beam is always homogenous
  • Value of E, Young`s Modulus Remains the sam for both compression and tension .     

HOPE SO YOU WOULD APPRECIATE MY EFFORTS , PLEASE PROVIDE POSITIVE RATINGS . THANKYOU :)

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