A bar of cross section A is subjected to equal and opposite tensile forces F at its ends- Consider the plane through the bar making an angle - with a plane at right angles to the bar shown in the figure-Shearing stress at this plane- in terms of F- A and -

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Shear Stress

A bar of cros...

Question

A bar of cross section $A$ is subjected to equal and opposite tensile forces $F$ at its ends. Consider the plane through the bar making an angle $θ$ with a plane at right angles to the bar shown in the figure.
Shearing stress at this plane, in terms of $F, A$ and $θ$

F s i n θ

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{F s i n^{2} θ}{A}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{F s i n θ c o s θ}{A}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{F c o s^{2} θ}{A}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $\frac{F c o s^{2} θ}{A}$
The resolved part of F along the normal is the tensile force on this plane and the resolved part parallel to the plane is the shearing force on the plane

Area of plane section = $A s e c θ$

Tensile stress = $\frac{F o r c e}{A r e a}$ = $\frac{F c o s θ}{A s e c θ}$

$\frac{F}{A} c o s^{2} θ$

Shearing stress applied on the top face

Suggest Corrections

Similar questions

Q. A bar of cross-section A is subjected to equal and opposite tensile forces F at its ends. Consider a plane through the bar making an angle

θ

with a plane at right angles to the bar. Then shearing stress will be maximum if

θ

Q. A bar of cross-section A is subjected to equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle

θ

with the axis of the bar.
For what value of

θ

is the tensile stress maximum?

Q. A bar of cross-section A is subjected to equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle

θ

with the axis of the bar.
What is the shearing stress on this plane?

Q. A bar of cross-section A is subjected to two equal and opposite tensile forces at its ends consider a plane section of the bar whose normal makes an angle

θ

with the axis of the bar. For what value of

θ

is the tensile stress is maximum?

A bar of cross-section A is subjected to two equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle θ with the axis of the bar.

·What is the tensile stress on this plane?

·What is the shearing stress on this plane?

Join BYJU'S Learning Program

A bar of cross section A is subjected to equal and opposite tensile forces F at its ends. Consider the plane through the bar making an angle θ with a plane at right angles to the bar shown in the figure.Shearing stress at this plane, in terms of F, A and θ

A bar of cross section $A$ is subjected to equal and opposite tensile forces $F$ at its ends. Consider the plane through the bar making an angle $θ$ with a plane at right angles to the bar shown in the figure.
Shearing stress at this plane, in terms of $F, A$ and $θ$