In tension failure of a brittle metal, failure plane is at ________ degrees.

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  1. 90
  2. 45
  3. 135
  4. 0

Answer (Detailed Solution Below)

Option 1 : 90
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Detailed Solution

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Explanation:

Modes of failure

  • Since brittle material is strong in compression but weak in tension whereas its shearing strength is in between its compressive strength and tensile strength.
  • Ductile material is approximately equal to strong tension and compression but weak in shear.

Case-1: Brittle material in torsion

  • Since brittle materials have minimum tensile strength. Hence, brittle materials fail in tension.
  • Hence brittle material subjected to torsion fails at 45° plane (Helicoidal failure).

 

Case-2: Ductile material in torsion

  • Since, ductile materials are weak in shear. Hence ductile materials failure occurs due to principle shear stress.
  • In torsion test maximum shear stress is in the direction perpendicular to longitudinal axis. Hence, ductile failure plane is torsion will be perpendicular to longitudinal axis.

 

Cast iron is a brittle material. So failure occurs as per case 5.

Case-3: Brittle material under tension

  • Brittle materials are very weak in tension. Brittle materials fail due to the separation of particles along the surface which is at 90° to the direction of load. The failure surface is rough.

 

Case-4: Brittle material under compression

  • Since brittle material strong in compression, therefore, failure is due to shear the plane to failure is at 45° from the axis of the shaft.

Case-5: Ductile material in tension

  • Since ductile material strong in tension, therefore failure is due to shear, the plane of failure is at 45° from the axis of the shaft, such failure is known as cup and cone failure.

 

Case-6: Ductile material in compression

  • Short compression members fail in compression yielding. The failure plane is at 90°, to the compressive load. In compression yielding, bulging of material occurs.

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