Problem 2 on Normal Stress on One Plane Accompanied by a Simple Shear Stress - Strength of Materials

TL;DR

Find the normal stress and tangential stress on an oblique plane with given data using appropriate formulas.

Transcript

hello friends here in this video on the problem of principal stresses in plane we have a question it is given that at a point in a strained material as shown in figure the diagram is given and with the help of this diagram we have to find normal and tangential stresses so i'll write the data for this first is sigma x 150 newton per mm square tau sh... Read More

Key Insights

• ✈️ The problem involves finding normal and tangential stresses on an oblique plane in a strained material.
• 🫡 The angle of the oblique plane with respect to the vertical is crucial in solving the problem.
• ❓ The formula for normal stress involves both the normal stress and shear stress.
• ✈️ The formula for tangential stress only considers the normal stress and the angle of the oblique plane.

Questions & Answers

Q: What is the first step in solving the problem of finding normal and tangential stresses on an oblique plane?

The first step is to determine the angle of the oblique plane with respect to the vertical, which is given as 30 degrees in the video.

Q: What is the formula for calculating the normal stress on an oblique plane with both normal stress and shear stress?

The formula for normal stress on an oblique plane is sigma x/2 * (1 + cos(2theta)) + tau * sin(2theta), where sigma x is the normal stress and tau is the shear stress.

Q: What are the values used in the calculation of the normal stress in the video?

The values used are sigma x = 150 N/mm^2, theta = 30 degrees, and tau = 50 N/mm^2.

Q: How can we calculate the tangential stress on an oblique plane?

The formula for tangential stress on an oblique plane is sigma x/2 * sin(2theta) - tau * cos(2theta), where sigma x is the normal stress and tau is the shear stress.

Summary & Key Takeaways

• The video discusses the problem of finding normal and tangential stresses on an oblique plane in a strained material.

• The data provided includes the values of sigma x and tau shear stress.

• Using the formulas for normal and tangential stress, the video demonstrates the steps to calculate these values.