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The modular ratio of the materials used in the flitched beam is 10 and the ratio of the allowable stresses is also 10. Four different sections of the beam are: shown in the given figures. The material shown hatched has larger modulus of elasticity and allowable stress than the rest.
Which one of the following statements is true for the beam under consideration ?
  • a)
    All the given sections would support the same magnitude of load.
  • b)
    Sections’ll, III and IV would support equal loads which is more than what section I would support
  • c)
    Sections I and II would support equal loads which is more than what section III and IV would support.
  • d)
    Section II would support greatest load.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The modular ratio of the materials used in the flitched beam is 10 and...
In the flitched beams there are two principles to be followed in analysis,
(i) strain diagram is linear
(ii) The radius of curvature of both materials is same at all the points.
  • Allowable stress in weak material = f
  • Allowable stress in strong material = 10 f
  • Modulus of elasticity of weak material = E
  • Modulus of elasticity of strong material = 10E
  • Maximum strain in weak material = f/E
  • Maximum strain in strong material =10f/10E = f/E
  • The hatched material can be replaced by equivalent weak material when its width is multiplied by modular ratio. So the equivalent sections are:



It is very clear that section modulus of section-ll is more than that of section-Ill as more area is close to the neutral axis in section-lI. Section-IV is unequal and its section modulus in tension and compression will be different. Since the strain is (f/E) at topmost and at bottom most fibre it is less than f/E.
So its capacity will be less than that of section-ll. Comparing section-l and section-ll, more area is away from the neutral axis in section-ll, so the moment capacity of section-ll is more than that of section-l. Thus section-ll has higher capacity.
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The modular ratio of the materials used in the flitched beam is 10 and the ratio of the allowable stresses is also 10. Four different sections of the beam are: shown in the given figures. The material shown hatched has larger modulus of elasticity and allowable stress than the rest.Which one of the following statements is true for the beam under consideration ?a)All the given sections would support the same magnitude of load.b)Sections’ll, IIIand IV would support equal loads which is more than what section I would supportc)Sections I and II would support equal loads which is more than what section III and IV would support.d)Section II would support greatest load.Correct answer is option 'D'. Can you explain this answer?
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The modular ratio of the materials used in the flitched beam is 10 and the ratio of the allowable stresses is also 10. Four different sections of the beam are: shown in the given figures. The material shown hatched has larger modulus of elasticity and allowable stress than the rest.Which one of the following statements is true for the beam under consideration ?a)All the given sections would support the same magnitude of load.b)Sections’ll, IIIand IV would support equal loads which is more than what section I would supportc)Sections I and II would support equal loads which is more than what section III and IV would support.d)Section II would support greatest load.Correct answer is option 'D'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The modular ratio of the materials used in the flitched beam is 10 and the ratio of the allowable stresses is also 10. Four different sections of the beam are: shown in the given figures. The material shown hatched has larger modulus of elasticity and allowable stress than the rest.Which one of the following statements is true for the beam under consideration ?a)All the given sections would support the same magnitude of load.b)Sections’ll, IIIand IV would support equal loads which is more than what section I would supportc)Sections I and II would support equal loads which is more than what section III and IV would support.d)Section II would support greatest load.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The modular ratio of the materials used in the flitched beam is 10 and the ratio of the allowable stresses is also 10. Four different sections of the beam are: shown in the given figures. The material shown hatched has larger modulus of elasticity and allowable stress than the rest.Which one of the following statements is true for the beam under consideration ?a)All the given sections would support the same magnitude of load.b)Sections’ll, IIIand IV would support equal loads which is more than what section I would supportc)Sections I and II would support equal loads which is more than what section III and IV would support.d)Section II would support greatest load.Correct answer is option 'D'. Can you explain this answer?.
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