For cantilever beam shown in the figure, the deflection at C due to a couple M applied at Bis equal to
Slope and deflection at B,
[As there is no moment between B and C so BC remains linear at θB slope]
Consider the following statements.
1. Conjugate beam can be used to determine slopes and deflection in a non-prismatic beam.
2. Conjugate beam may be statically indeterminate.
3. Conjugate beam method gives absolute slope and deflection.
The correct answer is
Which of the foilowing statements are correct. Macaulay's method for calcuiation of slope and deflection in a beam is suitable for
1. Prismatic beams only.
2. Several concentrated loads and can be extended to uniformly distributed loads.
3. Both prismatic and Non-prismatic beams,
Macaulay’s method is based on singularity function. It is applicable for prismatic beams only. While Mohr’s moment area method can be used for prismatic and non-prismatic beams.
A simply supported beam of span L and depth dcarries a central load W. The ratio of maximum deflection to maximum bending stress is
Calculate the reaction at the roller support for the cantilever beam shown in the figure?
Let P be the roller reaction.
Upward deflection of beam at A due to P.
Downward deflection of beam at A due to w.
A cantilever carries a load P as shown in the given figure
The deflection at B is
A simply supported beam of uniform flexural rigidity is loaded as shown in the given figure. The rotation at the end A is
The M/EI diagram of beam is,
The slope at mid span is zero.
The difference between the slope at two points is M/EI area between these points.
So slope at A,
The maximum deflection of simply supported beam occurs at zero
The stepped cantilever- is subjected to moments, M as shown in the figure below. The vertical deflection at the free end ( neglecting self weight) is
Using moment area method,
Deflection at B, wrt A
= Moment of area of M/EI diagram between A and B about B
A simply supported beam of length CL' carries two equal unlike couples. M at the two ends. The central deflection of the beam is given by