WorksheetsDay 92-Dec 30-worksheet-Btech-SFD & BMD 2
Total questions: 15
Worksheet time: 10mins
For a simply supported beam of span L subjected to a uniformly distributed moment M kN·m per unit length over the entire span, the bending moment at mid-span is
ML/4
ML/2
Zero
ML
A sudden jump in the bending moment diagram indicates the presence of
A concentrated load
A uniformly distributed load
A couple acting at that point
A hinge support
If the bending moment over a length of a beam is constant, the shear force over that length is
Maximum
Variable
Non-zero constant
Zero
In a cantilever beam carrying a uniformly varying load (UVL) starting from zero at the free end and increasing toward the fixed end, the bending moment diagram is
Straight line
Parabola
Cubic curve
Rectangle
For a simply supported beam of length L, the bending moment is given by M=a(x3−x2L) where a is a constant. The shear force is zero at
x=L/2
x=L/3
x=L/3
At supports
The bending moment diagram of a simply supported beam carrying a point load at mid-span is
Rectangle
Triangle
A cantilever beam of length L has a rectangular shear force diagram of magnitude P. The maximum bending moment is
PL
PL/2
PL/4
2PL
Points of contraflexure are the locations where bending moment is maximum.
True
False
Assertion (A): A simply supported beam subjected to a pure couple at mid-span has zero bending moment at the supports. Reason (R): A couple produces bending without producing shear force.
Both A and R are true and R is the correct explanation
Both A and R are true but R is not the explanation
A is true but R is false
A is false but R is true
The slope of the bending moment diagram at any point equals the ______ at that point.
Shear force
Load intensity
Deflection
Curvature
The bending moment diagram of a cantilever beam carrying a point load at the free end is (a) .
A vertical jump in the shear force diagram represents a (a) load.
The point where bending moment changes sign is called the (a) .
A simply supported beam of span 7 m carries • 3 kN at 2 m from left support • 2 kN at 4 m from left support. Find the reaction at the right support.
(a)
A cantilever beam of length 4 m carries a UDL of 5 kN/m over its entire length. Find the maximum bending moment at the fixed end.
(a)
