Part A - Ultimate stress of the material For the stress-strain diagram shown, se

Question

Part A - Ultimate stress of the material

For the stress-strain diagram shown, select the point on the curve that corresponds to the ultimate stress ?u of the material.

Select the ultimate stress on the diagram.

Part B - Modulus of elasticity

Define the slope of the curve (modulus of elasticity) of the material up to the proportional limit.

Select two points on the curve and use them to define the slope. Click on "Show ruler" if you would like to use a ruler as you would with pencil and paper.

Part C - Yield strength of the material

Using the offset method, 0.2% offset yield stress, select the point on the curve that corresponds to the yield strength of the material.

Select the yield strength on the diagram. Click on "Show ruler" if you would like to use a ruler as you would with pencil and paper. The ruler can be extended or shortened by clicking and dragging on either end of the ruler at the squares.

Explanation / Answer

(a) the ultimate stress is the maximum eng. stress applied to the actual cross section area in a uniaxial stress strain case ,

here , ultimate stress = 400 Mpa

(b) slope of the curve or E ( modulus of elasticity ) = 100 / 0.0005 = 20000 (for linear curve which follows hooks law)

(c) The yield strength (or elastic limit ) we often identify with the 0.2% offset yield strength, that is, the stress at which the stress-strain curve for axial loading deviates by a strain of 0.2% from the linear-elastic line as shown in Figure , for measuring this ,

Starting at the origin of the curve, measure off a distance equal to 0.002 mm. along the X-axis.Now using that as the origin, draw a line parallel to the modulus line. Notice that the line drawn intersects the stress-strain curve at a certain point . The ordinate of that only point the stress in Mpa is the Yield Strength at 0.2% Offset.

here , yiled strength = 250 Mpa (approx )

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