Mechanical Engineering - Strength of Materials - Discussion
Discussion Forum : Strength of Materials - Section 6 (Q.No. 5)
5.
At the neutral axis of a beam, the shear stress is
Discussion:
24 comments Page 1 of 3.
Dheeraj said:
7 years ago
Yes, answer is right, shear stress =SAy'/Ib,
Where, S=shear force, A =area, y'=distance of centroid of area from NA. I=moi, b=width, Here, A and y' are varied wrt y, when you take the values of both in equation and after differenciating it, you will get, y=0, (consider a elementary area at a why distance from NA).
Where, S=shear force, A =area, y'=distance of centroid of area from NA. I=moi, b=width, Here, A and y' are varied wrt y, when you take the values of both in equation and after differenciating it, you will get, y=0, (consider a elementary area at a why distance from NA).
Amit choudhary said:
9 years ago
In case of beam, we know;
f = (E/R) * y.
Where f = shear stress, E= youngs modulus, R= radius of curvature and y= distance of layer from the neutral axis.
In this equation E and R are constant for a particular beam and y=0 at neutral axis, therefore, f=0 at the neutral axis.
f = (E/R) * y.
Where f = shear stress, E= youngs modulus, R= radius of curvature and y= distance of layer from the neutral axis.
In this equation E and R are constant for a particular beam and y=0 at neutral axis, therefore, f=0 at the neutral axis.
Arjun biswas said:
7 years ago
Shear stress = F/2I (d^2/4-y^2) where, F= shear force, I= moment of inertia, d= depth of beam, y= distance from the neutral axis.
So, the maximum shear stress occurs at the neutral axis and is zero at both the top and bottom surface of the beam.
So, the maximum shear stress occurs at the neutral axis and is zero at both the top and bottom surface of the beam.
Sk maurya said:
1 decade ago
At the neutral axis of a beam, the shear stress is zero because shear stress is directly proportional to natural axis. And at the natural axis distance is zero. So option A is correct.
Abbas Ali said:
6 years ago
Answer should be None.
Only in pure bending stress or something else alone(Centrod = N.A). It is generally told so it may not always the case.
Correct answer D.None.
Only in pure bending stress or something else alone(Centrod = N.A). It is generally told so it may not always the case.
Correct answer D.None.
Rohit said:
9 years ago
The shear stress varies parabolically in the beam. It is maximum at the center and zero at fibres. The maximum shear force at neutral axis is given by s = 3F/2bd.
Mahesh RP said:
5 years ago
Why max is measured from the top or bottom fibre. Shear stress is max. At the centre and min. At the top and bottom fibre.
Kartik said:
10 years ago
In case of beam shear stress is maximum but in case of torsion shear stress at the neutral axis is zero.
Pratik said:
4 years ago
The Answer should be Zero as on the neutral axis radius will be zero so shear stress will also be zero.
(2)
Anantha said:
7 years ago
Shear stress is zero in neutral axis and B.M is maximum are called as neutral axis.
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