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WorksheetsDay 93-Dec 31-worksheet-Btech-simple bending
Total questions: 15
Worksheet time: 12mins
A beam is said to be under pure bending when
Bending moment is zero and shear force is maximum
Shear force is zero and bending moment is constant
Both bending moment and shear force are zero
Shear force is constant and bending moment varies
In a beam subjected to pure bending, bending takes place about
Geometrical axis
Centroidal axis only
Neutral axis
Extreme fiber
At the neutral axis of a beam under pure bending, the value of bending stress is
Maximum
Minimum
Zero
Equal to shear stress
The bending stress at any fibre of a beam varies
Inversely with distance from neutral axis
Linearly with distance from neutral axis
Parabolically with distance from neutral axis
Uniformly across depth
The moment of resistance of a beam section is defined as
Internal bending moment due to loading
External bending moment applied
Couple formed by compressive and tensile stresses
Product of bending stress and curvature
The most economical cross-section in bending (maximum strength for same area) is
Rectangular section
Circular section
Channel section
I-section
Neutral plane always passes through the centroid of the beam cross-section even after deformation.
True
False
The surface of a beam where fibres experience neither tension nor compression is called (a) surface.
According to the bending equation IM=yσ=RE , : Here, R represents (a)
Section modulus is defined as the ratio of _____ to _____.
(a)
The SI unit of flexural rigidity (EI) is (a) .
Moment carrying capacity of a beam equals permissible bending stress × (a) .
A rectangular beam of width 100 mm and depth 200 mm is subjected to pure bending. If the maximum bending moment is 20 kN·m, calculate the maximum bending stress in the beam.
(a)
A beam is bent into a circular arc of radius 1 m under pure bending. If Young’s modulus E = 100 GPa and the distance of the extreme fiber from the neutral axis is 0.5 mm, find the maximum bending stress.
(a)
A rectangular beam of overall depth 500 mm develops tensile and compressive strains of 2.5×10−4 at extreme fibers. Calculate the curvature of the beam.
(a)
