verification of the Rankine yield criterion and the Tresca yield criterion

Description:

• Stress hypotheses are applied in the science of the strength of materials when calculating comparative stresses where unequal stresses are combined.
• The following stress hypotheses, taking into account material properties, have been tried and proven in practice: Rankine yield criterion (direct stress hypothesis), von Mises yield criterion (change of shape hypothesis) and Tresca yield criterion (shear stress hypothesis).
• The experimental unit WP 130is used to verify these comparative stress hypotheses on test specimens made of various metals.
• For the purpose, a multi-axial stress state is produced at a point on the specimen and the resulting deformation is measured.
• The specimen is clamped on one end to the fixed frame.
• A loading plate is clamped to the specimen on the other end.
• A weight is attached on the outer circumference of the plate.
• A balance weight compensates for the dead-load of the plate and the applied weight.
• As a result, only direct and shearing stress occur at a point on the test specimen and shear forces are avoided.
• The loading plate has a graduation grid enabling weights to be attached at 15° increments.
• This permits purely bending moment and twisting as well as combined load moments to be achieved.
• Diametrically opposite the weight, measuring points are provided on the loading plate to measure the deformation.
• This enables the deformation at the point of maximum deflection to be measured.
• The various elements of the experiment are clearly laid-out and housed securely in a storage system.

Technical Details:

Specifications:

• experiments verifying comparative stress hypotheses from the science of the strength of materials
• 7 different load combinations of bending and torsion
• loading of the test specimen without shear force by compensation for the influence of dead-load
• test specimens made of steel, copper, brass, aluminium
• generation of load moments by means of weight and lever arm
• measurement of the deformation at the point of maximum deflection
• storage system to house the components

Technical Data:

• Specimens:
  • length: 49mm
  • clamping length: 11,5mm
  • specimen diameter in measuring cross-section: Ø 4mm
• Weights to place load on specimens:
  • 1x 2N (hanger), 1x 1N, 1x 2N, 1x 4N, 2x 8N
• Weights to compensate for the load and the loading plate:
  • 1x1N, 2x2N, 1x4N, 2x8N
• Lever arm: 100mm:
• Deformation:
  • measuring range: 0…10mm
  • graduation: 0,01mm

Dimensions & Weight:

• L x W x H: 390x330x360mm
• Weight: approx. 17kg
• L x W x H: 720x480x178mm (storage system)
• Weight: approx. 10kg (storage system)

Learning Objectives/Experiments:

• generation of multi-axial loads on test samples made of ductile metals:
  • steel, copper, brass, aluminium
• generation of various load moments:
  • pure bending moment
  • pure twisting moment
  • combined bending moment and twisting moment
• determination of the yield point
• verification of the Rankine yield criterion
• verification of the Tresca yield criterion
• representation in Mohr’s circle of stresses and strains

Scope of delivery:

• 1 experimental unit
• 1 set of specimens (4x St, 4x Cu, 4x Al, 4x brass)
• 1 set of weights (loading)
• 1 set of weights (compensation)
• 1 hexagon socket wrench
• 1 storage system with foam inlay
• 1 set of instructional material

Features:

• verification of the Rankine yield criterion and the Tresca yield criterion
• multi-axial loads of test specimens made of ductile metals by pure bending, pure torsion or a combination of the two
• loading of the test specimen without shear force by compensation for the influence of dead-load

Accessories:

Optional:

• WP130.01 Set of 4 bending and torsion specimens, Al, Cu, St, CuZn
• WP 130.21 Set of 4 bending and torsion specimens, Al
• WP 130.22 Set of 4 bending and torsion specimens, Cu
• WP 130.23 Set of 4 bending and torsion specimens, St
• WP 130.24 Set of 4 bending and torsion specimens, CuZn
• WP 300.09 Laboratory trolley

Due to the continuous development of our products, the goods supplied may vary in detail to that illustrated on this Website.