WorksheetsMOS UNIT-I
Total questions: 20
Worksheet time: 15mins
Which of the following is most required when using Mohr's area moment method?
It can be applied to beams with point loads
It requires careful evaluation of areas and centroids of M/EI diagrams
It accounts for shear force effects
It can be used for a variety of beam supports
The unit of slope in beam deflection problems is:
Metre
Radian
Newton per metre
Dimensionless
If the slope at a point is known, the deflection can be obtained by
Differentiating slope with respect to x
Integrating slope with respect to x
Equating slope with shear force
Multiplying slope with span length
Flexural rigidity of a beam is defined as:
Product of Young's modulus (E) and area (A)
Product of Young's modulus (E) and moment of inertia (1)
Ratio of load to deflection
Ratio of bending stress to strain
Which one of the following is NOT an assumption in applying Mohr's theorems?
Beam material obeys Hooke's law
Deflections are small compared to span length
Shear deformation is neglected
Load is always uniformly distributed
A simply supported beam subjected to a central point load will have its deflected shape as:
Symmetric curve with maximum deflection at mid-span
Straight line throughout the span
Symmetric curve with maximum slope at mid-span
Antisymmetric curve with maximum deflection at the supports
Deflection of a beam at any point is:
Distance between maximum bending moment and shear force
Tangential angle of the slope
Vertical displacement of the neutral axis relative to original position
Rotation of cross-section about neutral axis
A cantilever of length L subjected to a uniformly distributed load w (per unit length). Which of the following best describes the deflected shape?
Straight line inclined uniformly
Circular arc with radius proportional to w
Parabolic curve with maximum deflection at free end
Cubic curve with maximum deflection at free end
For a cantilever beam of length L carrying a point load P at the free end, the maximum deflection is:
For a simply supported beam under UDL w, the maximum deflection at mid-span is:
Which one of the following beams will show zero slope at both supports?
Cantilever beam
Simply supported beam
Fixed beam
Propped cantilever beam
Stiffness of a beam is defined as:
Product of load and deflection
Ratio of shear force to span
Ratio of load applied to deflection produced
Ratio of bending moment to slope
The deflection at mid-span of a simply supported beam with a central point load can be found by Mohr's theorem as:
Moment of M/EI area about the support
Area of bending moment diagram
Moment of M/EI area about the mid-span
Double integration of load equation
A cantilever beam carrying a UDL over the entire span L, the maximum slope at the free end is
wL^3/3 EI
wL^3/6 EI
WL^2/2 EI
WL^4/8 EI
The stiffness of a beam is generally defined as
Resistance against bending moment
Load required to produce unit deflection
Product of load and span length
Ratio of span to depth
Among beams made of the same material, with identical cross-section and subjected to the same load, which beam will exhibit the greatest stiffness?
Maximum span length
Least span length
Hinged supports
Roller supports
Deflection of a beam at a given section refers to
The horizontal displacement of supports
The bending stress at that section
The rotation of the cross-section
The vertical distance moved by the neutral axis relative to its original position
For a simply supported beam under UDL, the slope at supports using Mohr's theorem is obtained from:
Total area of M/EI diagram
Moment of the M/EI diagram about support
Centroid of shear diagram
Integration of deflection curve
The slope at a section of a beam is defined as
The angle between the tangent to the elastic curve and the vertical axis
The ratio of deflection to length
The angle between the tangent to the elastic curve and the horizontal axis
The maximum deflection of the beam
If the flexural rigidity of a beam is doubled, the deflection under a given load will:
Remain same
Become half
Become double
Become one-fourth
