Table 3
Table 1
Hollow rectangle
Area:
Distances from
centroid to extremities:
Inner base:
Outer height:
Inner height:
Moments of inertia:
Concentrated intermediate load
Left end simply supported, right end simply supported
Notation file
Provides a description of Table 1 and the notation used.
Enter dimensions:
Outer base:
Notation file
Provides a description of Table 3 and the notation used.
Enter dimensions, properties and loading:
Radii of gyration about central axes:
Before progressing further, calculate the moment of inertia (
Plastic section moduli:
Table 1
Area moment of inertia:
Length of beam:
Distance from left edge to load:
Modulus of elasticity:
Load:
Define a point along the length of the beam.
Boundary values :
The following specify the reaction forces (R), moments (M), slopes (
Shape factors:
At the left end of the beam (simply supported):
End of Section
At the right end of the beam (simply supported):
General formulas and graphs for transverse shear, bending moment, slope and deflection as a function of x:
Note: To find the maximum and minimum values of a graphed
function, simply click once on the graph and read the extreme
values to the left of the plot.
x ranges from 0 to L, the length of the beam.
Transverse shear:
Bending moment:
Slope:
Deflection:
Selected maximum values of moments and deformations:
Note: The signs in this section correspond to direction.
The subscript max refers to the maximum positive value for the given parameters.
At x = a,
At x equals
The subscript maxval refers to the maximum magnitude of the most
If a = L/2,
If x = a = L/2, then at x,
If a = 0.423 L,
End of Section