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Abstract

Structural mechanics, sometimes called ‘solid mechanics’ or ‘mechanics of materials’ is concerned with describing the behavior of structural members under loading, as occurs in all buildings and other structures due to the effects of gravity and other forces (e.g. wind, earthquake, etc.). A detailed understanding of structural mechanics is essential for anyone seeking to competently perform structural fire engineering analysis or design.

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References

  1. ASCE, Minimum Design Loads for Buildings and Other Structures (ASCE-7-05), American Society of Civil Engineers (2005).

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Acknowledgements

The overall structure and format of this chapter of the SFPE Handbook has been based on the previous (4/e) version, which was authored by Robert W. Fitzgerald. The significant contribution of Prof. Fitzgerald to the development of this handbook must therefore be gratefully acknowledged.

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Nomenclature

A

Area (nm2)

A k

Load or load effect resulting from an extraordinary event (e.g. fire)

C 1

Integration constant

C 2

Integration constant

c

Distance from the extreme compression fiber to the neutral axis of bending (mm)

D

Dead load

E

Earthquake load

E

Load effect, or modulus of elasticity (Young’s modulus) (GPa)

F

Force (kN)

f c

Compressive strength of concrete (MPa)

I

Moment of inertia (mm4)

L

Live load

L

Length (mm)

M

Moment (kN∙m)

n

0, 1, 2…

O

Center of curvature

P

Load (kN)

R

Member resistance, or reaction force (kN)

r

Radius of gyration (mm)

S

Snow load

V

Shear force (kN)

W

Wind load

x

Coordinate parallel to the axis of the structural element (mm)

y

Coordinate normal to the axis of the structural element (mm), or lateral deflection (mm)

Z

Difference between resistance and load demand

α

Load factor

α T

Coefficient of thermal expansion (K−1)

β

Safety index

ε

Strain (no units)

ε cc

Compressive failure strain of concrete (no units)

ε y

Yield strain (no units)

ΔL

Change in length (mm)

ΔT

Change in temperature (K)

δ

Deformation (mm)

σ

Stress (MPa)

σ y

Yield stress (MPa)

ϕ

Resistance factor

π

Pi

θ

Subscript denoting elevated temperature

ω

Uniformly distributed loading (kN/m)

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© 2016 Society of Fire Protection Engineers

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Bisby, L.A. (2016). Structural Mechanics. In: Hurley, M.J., et al. SFPE Handbook of Fire Protection Engineering. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2565-0_8

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  • DOI: https://doi.org/10.1007/978-1-4939-2565-0_8

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4939-2564-3

  • Online ISBN: 978-1-4939-2565-0

  • eBook Packages: EngineeringEngineering (R0)

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