mohrs circle 3

Which of the following Mohr’s Circle represents the condition of pure shear?

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In a two-dimensional stress system, if σ_x and σ_y are equal and there is no shear stress (τ_xy=0), Mohr's Circle will represent:

• A line segment on the σ_x-axis.

• A single point on the horizontal axis

• A circle with a radius equal to σx.
• Two distinct points on the σ_y-axis.

In Mohr's Circle, the intersection points with the horizontal axis correspond to which stresses?

• Principal stresses

• Compressive stresses
• Tensile stresses
• Shear stresses

The X and Y- axis of Mohr’s circle represent ________

• Temperature and pressure
• Tensile strength and compressive strength
• Length and width
• Normal stress and shear stress

In a stress state where Mohr's Circle passes through the origin, what type of stress is primarily present?

• Tensile stress exists.
• Compressive stress exists.
• Pure shear stress exists.

• No stress.

What is the relationship between maximum shear stress and the principal stresses when Mohr's Circle passes through the origin?

• The maximum shear stress is equal to half the difference between the principal stresses when Mohr's Circle passes through the origin.
• The maximum shear stress is equal to the average of the principal stresses.
• The maximum shear stress is zero when Mohr's Circle passes through the origin.
• The maximum shear stress is equal to the sum of the principal stresses.

When Mohr's Circle is centered at the origin, what is the average of the principal stresses?

• zero

• positive

• negative

• undefined

What happens to the shear stress in a material subjected to hydrostatic pressure?

• The shear stress remains zero.
• The shear stress becomes negative.
• The shear stress fluctuates with pressure changes.
• The shear stress increases significantly.

What does a larger radius in Mohr's Circle imply about the risk of failure in the material?

• The material is in a stable state.

• A larger radius indicates a lower risk of failure.
• A larger radius suggests improved material strength.
• The material may be at risk of failure due to high shear stresses.

A steel beam is subjected to normal stresses of σ₁=60 MPa and σ₂=−40 MPa. Calculate σ_avg​ and determine the radius of Mohr's Circle. If the yield strength of the steel is 250 MPa, what can be inferred about the shear stress state?

• σ_avg​=10MPa; Radius =-50 MPa ; Safe from yielding.

• σ_avg​=10MPa; Radius =50 MPa; At risk of yielding

• σ_avg​=0MPa; Radius =50 MPa; At risk of yielding

• • σ_avg​=100MPa; Radius =-50 MPa ; Safe from yielding.