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A rectangular bar of cross sectional area 10000 mm2 is subjected to an axial load of 40 kN. Determine the normal stress on the section which is inclined at an angle of 30° with normal cross-section of the bar.
  • a)
    1.5 MPa
  • b)
    3 MPa
  • c)
    1.7 MPa
  • d)
    4.5 MPa
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A rectangular bar of cross sectional area 10000 mm2is subjected to an ...
\(\sigma = \frac{P}{A} = \frac{{40 \times 1000}}{{1000}} = 4\;MPa\)
Normal stress on inclined plane:
σn = BM' = R + R cos 60° = R(1 + cos 60)
σn = 2(1 + 0.5) = 3 MPa
Some more important calculations which may be asked in exams:
Shear stress on inclined plane:
\({\tau _s} = R\sin 60^\circ = \frac{{2 \times \sqrt 3 }}{2} = 1.732\;MPa\)
Maximum principal stress, σ1 = 4 MPa (θ = 0°)
Minimum principal stress, σ2 = 0 MPa (θ = 90°)
Radius of the Mohr circle R = σ1/2 = 2 MPa
Maximum shear stress, τmax = R = 2 MPa (θ = 45°)
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Most Upvoted Answer
A rectangular bar of cross sectional area 10000 mm2is subjected to an ...
A rectangular bar of cross sectional area

1000mm is subjected to an axcial load of 20 AN. Determine the normal and shear stress on a section, which is inclined at an angle of 30 with the normal cross section of the har.
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A rectangular bar of cross sectional area 10000 mm2is subjected to an axial load of 40 kN. Determine the normal stress on the section which is inclined at an angle of 30° with normal cross-section of the bar.a)1.5 MPab)3 MPac)1.7 MPad)4.5 MPaCorrect answer is option 'B'. Can you explain this answer?
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