Drawing Shear Diagrams

quartzaardvarkUrban and Civil

Nov 29, 2013 (3 years and 10 months ago)

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Drawing Shear Diagrams


A s
hear
diagram is
a graphical representation of how V (shear force) varies over a loaded
beam.


Rules:


1.

The application of a concentrated load will either increase or decrease (depending
on direction of load) the shear in the bea
m by the magnitude of the force applied.


2.

The increase/decrease occurs at the point of application.


3.

A uniformly distributed load will change the shear force (V) at a uniform rate
equal to the intensity of the load (lbs/ft) or (kN/m). This results in a
“diagonal”
line representing the change in shear across the beam where the uniform load is
applied.


Drawing
Bending Moment Diagrams


Similar to the shear force diagram, the bending moment diagram is a graphical
representation of how the bending varies along the length of a beam. There is a
relationship between the shear and bending moment diagram:


**
The bending moment at any point along the beam can be found by summing the
areas contained under the shear diagram. (Left to right works best).


Some general rules for building a bending moment diagram:


a.

The bending moment diagram should be constructed bel
ow a shear diagram.

b.

The location of zero shear on the shear diagram will be a location of maximum or
minimum moment.

c.

A rectangular area in the shear diagram will indicate a sloping straight (diagonal)
line on the bending moment diagram. A positive shear v
alue indicates a positive
slope of the diagonal line on the bending moment diagram. A negative shear
value indicates a negative slope on the bending moment diagram.

d.

A triangular, trapezoidal or other type of area under the shear diagram will
translate int
o curved (parabolic) line on the moment diagram. The same rules
apply with regard to slope of the moment diagram line.



The M at any point = ∑V
area

(start left go right)