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To Determine Yield & Tensile Strength of a Steel Bar

By: Haseeb Jamal / On: Apr 16, 2017 / Experiments, Lab-Notes


UTM, Test Specimen, Vernier Calipers, Ruler etc.

Description of UTM:

A machine designed to perform tensile, compression, bend and shear tests, is called UTM,. It mainly consists of two parts.

  • Loading Unit, control unit. In addition to these units, there are certain accessories like bending table, jaws for gripping recorders etc.
  • Loading unit consists of two crossheads i.e upper cross head and lower cross head and a table


  1. Prepare a test specimen of at least two feet.

  2. Measure caliper at least at three places and then find average.

  3. Insert the suitable jaws in the grip and select a suitable load scale on UTM.

  4. Insert the specimen in the grip by adjusting the cross heads of UTM.

  1. Start machine and continue applying the load.

  2. At a point when the values of the load at that point this is called yield point.

  3. When the specimen breaks stop the machine.

  4. Note the ultimate value of the load.

  5. Determine the yield strength and tensile strength of load dividing the yield load & ultimate load by cross sectional area of the bar.

Gauge length = 8 inch

Determine the yield strength by the following methods:

Offset Method

To determine the yield strength by the this method, it is necessary to secure data (autographic or numerical) from which a stress-strain diagram with a distinct modulus characteristic of the material being tested may be drawn. Then on the stress-strain diagram, lay off om equal to the specified value of the offset (i.e. yield strength ~0.2%), draw mn parallel to OA, and thus locate r, the intersection of mn with the stress-strain curve corresponding to load R, which is the yield strength load. In recording values of yield strength obtained by this method, the value of offset specified or used, or both, shall be stated in parentheses after the term yield strength.

Figure - Stress-strain diagram for the determination of yield strength by the offset method.

Secant Method

This method is also referred as the tangent, secant or chord modulus for the line drawn from the shear stress-shear strain curve at 5% (1/20) and 33% (1/3) of the maximum compressive shear stress. This region usually lies well within reasonably linear part of the curve. Lower part of the curve, representing a straight region being associated with closing up the interfaces between mortar and units is ignored, as they normally close up due to self weight in real structures. Calculations for Ec are as follows.

Ec = ∆ Shear Stress / ∆Shear Strain

∆ Shear Stress = (Shear stress corresponding to 1/3 of the compressive strength) - (Shear stress corresponding to 1/20 of the compressive strength)

∆ Shear Strain = Difference of the Shear strain at corresponding values of Shear stress.

ASTM Standards


Grade 40

Grade 60

Grade 75

Minimum Yield Strength

40,000 Psi

60,000 Psi

75,000  Psi

Maximum Yield Strength

60,000 Psi

90,000 Psi

1,00,000 Psi

Elongation = 9.8 8 = 1.9

S No

Dia of Bar

Yield Load(Tons)

Ultimate load(Tons)

Area of Bar,
A=∏ D 2 /4

Yield Strength=Yield Load *2204/ Area

Tensile Strength = Yield Load*2204/ Area


½ in



0.196 in2

67132.04 Psi

104352. 65 Psi


½ in



0.196 in2

54650.20 Psi

86023. 46 Psi


½ in



0.196 in2

61509.62 Psi

91196. 12 Psi


½ in



0.196 in2

61059.85 Psi

93445. 10 Psi


1/8 in



0.306 in2

50778.43 Psi

78868. 62 Psi


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