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A linear structural member with loading applied perpendicular to its long axis
bending load
is the tendency of a member to bow as a result of loads applied perpendicular its longest axis
Bending
Bending causes one face of the member to
Stretch (tension)
Bending causes the opposite face of the member to
Shorten ( compression)
Because the tension and compression stresses are occurring in parallel,
shearing stresses are also present
most common example of a structural member in bending
Beam
Cantilever
simply supported
overhanging
Continuous
fixed ended
Cantilever, Simply Supported
what is an important consideration for reducing bending stresses and limiting vertical deflection
beam depth (height)
Where does the maximum bending stress occur
farther from the neutral axis
Wood beams support
structural planking or decking
Steel beams support
steel decking or precast Concrete planks
One way systems are more effective when structural bays are
rectangular
When the structural bays are rectangular
the ratio of the long to the short is greater than 1:5:1.
One way systems can span
in their directions of square or rectangular bays
what is appropriate for both one way and two way spanning systems
Concrete
What can lend themselves to one way systems
wood and steel spanning elements
what is uniformly thick and structurally reinforced to span in one direction between supports
One way concrete slabs
The direction of the slab in a one wat concrete slab is usually in the
Short direction of rectangular bays
supported continuously by 2 parallel supports and resist bending primarily in one direction
One way slabs
Supported on all 4 sides and resist bending in both directions
Two way slabs
Slabs which are supported only at points by columns
Flat Plates
columns
Rigid, relatively slender structural members designed primarily to support axial compressive loads applied to the ends of the members
A vertical support column
is free from all the sides taking the load of the beam and transfers the load to the earth independently
Classical column fundamental elements are
Base, Shaft, and capital
a column is generally
at least 4 or 5 times as high as its diameter or width
The buckling load of a column depends on
its length, cross-sectional area and shape and the type of connections at the ends
A short column fails by
Crushing
A long column fails by
Buckling
An intermediate column fails by
a combination of Crushing and Buckling
Once a column begins to buckle
it fails suddenly and without warning
The Buckling load varies inversely as
the square of the length of the column
Doubling the length will reduce the load
25%
Halving the length will increase the buckling load
400%
If the cross section is not equally wide in both directions
Buckling will occur in the axis of the most slender dimension
Columns with most of the material positioned as far from the center of the cross-section as possible
have higher buckling loads
Moment of inertia
The measure of the distribution of material around the center of an object
Buckling load is
Proportional to the moments of inertia
Doric order
Ionic order
Corinthian order
The tie
tention
The hanger
Tension member
Significant weight or load is being carried at the bottom
a Vertical hanger
Remarkably thin, long vertical element is connected to the load
a vertical hanger
a support structure of one type is located at the top end to which the hanger is anchored
A vertical hanger
Tension Hangers
are not always vertical but often inclined
What term is applied to inclined structures for their pragmatic or conceptual designs
Stayed
a space frame
a 3 dimension trussed system spanning in two directions where members are in tension or compression only
Space frames consist of
identical repetitive modules with parallel upper and lower layers.
Half- octahedron and the tetrahedron
widely used polyhedral modules for building space frames
Tensegrity
a stable 3-dimensional space assembly of cables and struts
In a tensegrity,
cables are continuous but the struts are discontinuous and do not touch one another
tensegrity, is islands of
compression inside an ocean of tension