[[wiki-architecture]] · [[Urban Planning and City Architecture]] · [[ARCHITECTURE]] · [[000]]
# Span (engineering)
In engineering, span is the distance between two adjacent structural supports (e.g., two piers) of a structural member (e.g., a beam). Span is measured in the horizontal direction either between the faces of the supports (clear span) or between the centers of the bearing surfaces (effective span). For a bridge, the total span is the distance between the faces of the abutments:
A span can be closed by a solid beam or by a rope. The first kind is used for bridges, the second one for power lines, overhead telecommunication lines, some type of antennas or for aerial tramways.
Span is a significant factor in finding the strength and size of a beam as it determines the maximum bending moment and deflection. The maximum bending moment
M
m
a
x
{\displaystyle M_{max}}
and deflection
δ
m
a
x
{\displaystyle \delta _{max}}
in the pictured beam is found using:
M
m
a
x
=
q
L
2
8
{\displaystyle M_{max}={\frac {qL^{2}}{8}}}
δ
m
a
x
=
5
M
m
a
x
L
2
48
E
I
=
5
q
L
4
384
E
I
{\displaystyle \delta _{max}={\frac {5M_{max}L^{2}}{48EI}}={\frac {5qL^{4}}{384EI}}}
where
q
{\displaystyle q}
= Uniformly distributed load
L
{\displaystyle L}
= Length of the beam between two supports (span)
E
{\displaystyle E}
= Modulus of elasticity
I
{\displaystyle I}
= Area moment of inertia
The maximum bending moment and deflection occur midway between the two supports. From this it follows that if the span is doubled, the maximum moment (and with it the stress) will quadruple, and deflection will increase by a factor of sixteen.
== See also ==
List of spans — longest spans of ropes used as power lines, antennas or aerial tramways.
List of longest suspension bridge spans
List of longest cantilever bridge spans
== References ==
- [[Building Services/Fire Engineering]]
- [[Structures/Structural Engineering]]
- [[Professional Practice/Codes & Standards/National Building Code of India/Part 09 - Plumbing Services/Section 1 - Water Supply]]
- [[Building Construction/Construction & Materials/Building Material/Polymers and Composites]]
- [[Professional Practice/Codes & Standards/National Building Code of India/Part 09 - Plumbing Services]]
- [[Professional Practice/Construction Management]]
- [[Design/Architectural Design/Universal Design and Accessibility]]
- [[Building Services/Building Performance]]
- [[Design/Building Typologies/Commercial Architecture]]
- [[Wiki-Architecture/Buildings and Structures]]
== Sources ==
Brett, P. (2012). Illustrated Dictionary of Building. CRC Press. ISBN 978-1-135-13857-8. Retrieved 2023-12-16.