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Question

Consider the following statements about flitched beams:

1. A flitched beam has a composite section made of two or more materials joined together

    in such a manner that they behave as a unit piece and each material bends to the same

    radius of curvature.

2. The total moment of resistance of a flitched beam is equal to the sum of the moments of

    resistances of individual sections.

3. Flitched beams are used when a beam of one material, if used alone would require

    quite a large cross- sectional area. 

    Of these statements
A.
1, 2 and 3 are correct
B.
1 and 2 are correct
C.
1 and 3 are correct
D.
1 and 3 are correct
Answer ( Option A)

1, 2 and 3 are correct

Solution

Analysis of each statement:

Statement 1: "Flitched beam has a composite section of two or more materials joined

together such that they behave as a unit piece and each material bends to the same radius

of curvature" Correct.

·This is the fundamental definition of a flitched (composite) beam — e.g., a timber beam

reinforced with steel plates. Since the materials are joined and act as one unit, they

undergo the same curvature (1/R) at any section, even though their individual stresses

differ (due to different E values).

Statement 2: "Total moment of resistance = sum of moments of resistance of individual

sections" Correct.

· Since both materials bend to the same radius, and each contributes its own moment of resistance based on its own E and I:
 Mtotal = M1+ M2
This additive property of moments of resistance holds true for flitched beams.
Statement 3: "Flitched beams are used when a beam of one material alone would require quite a large cross-sectional area" Correct.
This is the practical motivation for flitched beams - e.g., reinforcing a timber beam with steel plates allows a smaller, more economical section to carry the same load compared to using timber alone (which would need to be much larger/bulkier).
 

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