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WorksheetsMOM l-unit MCQ Quiz
Total questions: 20
Worksheet time: 10mins
For a cantilever beam of length L subjected to a point load P at the free end, what is the maximum deflection?
(PL^3) / (48 E I)
(PL^3) / (3 EI)
(P L^3) / (6EI)
(PL^3) / (24 EI)
A cantilever beam of length L carries a uniformly distributed load (UDL) of intensity w over its entire length. What is the maximum slope at the free end?
(wL^3) / (24 EI)
(wL^3) / (6EI)
(wL^3) / (48EI)
(wL^3) / (8EI)
In a cantilever beam, where does the maximum deflection occur?
At the fixed end
At the free end
At the midpoint
At the point of contraflexure
A cantilever beam of length L carries a uniformly distributed load (UDL) of intensity w over its entire length. What is the maximum deflection at the free end?
(wL^3) / (24 EI)
(wL^3) / (6EI)
(wL^3) / (48EI)
(wL^3) / (8EI)
For a simply supported beam of length L subjected to a point load W at the center, what is the maximum deflection?
(WL^3) / (48EI)
(WL^3) / (3EI)
(5WL^4) / (384EI)
(WL^3) / (16EI)
In a simply supported beam, where slope is maximum?
At the midspan
At the supports
Under the point load
It is uniform throughout the beam
A simply supported beam of length L carries a UDL of intensity w over its entire length. What is the maximum deflection at the center?
(wL^4) / (48EI)
(wL^4) / (384EI)
(5wL^4) / (384EI)
(wL^4) / (8E I)
For a symmetrically loaded simply supported beam, where is the deflection maximum?
At the supports
At the quarter points
At the midspan
Under the load
The maximum slope in a simply supported beam with a UDL over the entire span is given by:
(wL^3) / (24EI)
(wL^3) / (16EI)
(wL^3) / (48EI)
(wL^3) / (32EI)
What is the relationship between the slope of a beam and its deflection (y)?
Slope = EI d²y/dx²
Slope = dy/dx
Slope = EI dy/dx
Slope = d²y/dx²
Which method is most suitable for finding the slope and deflection of a cantilever beam with multiple point loads?
Double Integration Method
Conjugate Beam Method
Macaulay's Method
Moment Area Method
According to Mohr's First Theorem (Moment-Area Theorem I), the change in slope between any two points on a beam is equal to:
The area of the M/EI diagram between those two points.
The moment of the M/EI diagram between those two points about a reference line.
The integral of the bending moment over the length of the beam.
The shear force at the midpoint.
Unit of slope is..
mm
kN
radian
Nmm
The term EI in the deflection formulas is known as:
Modulus of Rigidity
Flexural Rigidity
Torsional Stiffness
Young's Modulus
If the flexural rigidity (EI) of a beam is increases
Deflection increases
Deflection decreases
Deflection remains constant
Cannot be determined
A simply supported beam of length L is subjected to a central point load P and a UDL of w over its entire span. What is the total deflection at the center?
(PL^3) / (48 EI) + (wL^4) / (384EI)
(PL^3) / (48EI) + (5wL^4) / (384EI)
(PL^3) / (3EI) + (5wL^4) / (384EI)
(PL^3) / (3EI) + (wL^4) / (8EI)
The maximum deflection for a cantilever beam with a UDL (w) and a point load (P) at the free end is given by:
(wL^4)/(8EI) + (PL^3)/(3EI)
(wL^4) / (8EI) - (PL^3)/(3EI)
(wL^3) / (6EI) + (PL^2) / (2EI)
(wL^3) / (6EI) - (PL^2) / (2EI)
For a beam, the product of the modulus of elasticity (E) and the moment of inertia (I) is used. Why I is a crucial factor?
It represents the material's strength.
It describes the beam's cross-sectional shape and its resistance to bending.
It is related to the beam's length.
It determines the beam's weight.
What is the unit of deflection in the SI system?
N/m²
rad
mm
kN·m
Which one of the following does not affect the deflection of a beam?
Load on the beam
Modulus of Elasticity (E)
Geometry of the cross-section (I)
Support reactions
