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Simply supported beam of 3m span is subjected to loads as shown in figure below the beam is of I-section and all of the dimensions are in mm. The maximum compressive stress at point D in the web is (The section is located at a distance of 1m for right hand support)
  • a)
    11.38 MPa
  • b)
    16.48 MPa
  • c)
    5.68 MPa
  • d)
    4.96 MPa
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Simply supported beam of 3m span is subjected to loads as shown in fi...
Reactions, 2 × 3 × 1.5 + 4 × 2 = 3RB
17 = 3RB
Reactions, RB = 5.667 kN
Reactions, RA = 2 × 3 + 4 − 5.667
= 10 kN − 5.667 = 4.333 kN
MC = Bending moment at C
= 4.333 × 2 − 2 × 2 × 1
= 8.666 − 4 = 4.666 kN­m
= 4.666 × 106 Nmm
(Sagging) Shear force at C
FC = 4.333 − 2 × 2 = 0 = 0.33 3 (just left to C)
FC ′ = 0.333 − 4 = −3.667 kN (just right to C)
Jump shear force at C = 4 kN ↓
= 50 × 106 − 29.16 × 106
= 20.84 × 106 mm4
= −11.20 N/mm2 (Sagging moment) compressive
Shear stress at D
p1 = 11.385 N/mm2
p2 = +0.19 N/mm2
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Most Upvoted Answer
Simply supported beam of 3m span is subjected to loads as shown in fi...
Reactions, 2 × 3 × 1.5 + 4 × 2 = 3RB
17 = 3RB
Reactions, RB = 5.667 kN
Reactions, RA = 2 × 3 + 4 − 5.667
= 10 kN − 5.667 = 4.333 kN
MC = Bending moment at C
= 4.333 × 2 − 2 × 2 × 1
= 8.666 − 4 = 4.666 kN­m
= 4.666 × 106 Nmm
(Sagging) Shear force at C
FC = 4.333 − 2 × 2 = 0 = 0.33 3 (just left to C)
FC ′ = 0.333 − 4 = −3.667 kN (just right to C)
Jump shear force at C = 4 kN ↓
= 50 × 106 − 29.16 × 106
= 20.84 × 106 mm4
= −11.20 N/mm2 (Sagging moment) compressive
Shear stress at D
p1 = 11.385 N/mm2
p2 = +0.19 N/mm2
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Simply supported beam of 3m span is subjected to loads as shown in figure below the beam is of I-section and all of the dimensions are in mm. The maximum compressive stress at point D in the web is (The section is located at a distance of 1m for right hand support)a) 11.38 MPab) 16.48 MPac) 5.68 MPad) 4.96 MPaCorrect answer is option 'A'. Can you explain this answer?
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