Lecture 2 Flashcards
(6 cards)
-About some of the properties of concrete relevant for
designing structural members
β’ About some of the properties of steel reinforcement
relevant for designing structural members
β’ Properties of Beams subjected to bending and how to
design them for flexure (bending moments)
.
Why do we reinforce concrete with steel
Concrete has a low tensile strength
How do we test reinforcement
We use a tensile test on steel
Revision: π =ππ¦/I
Cross section bending (This is the value of failure)
How do we design a concrete beam to resist bending
The Bending strength (Mrd) of the beam is greater than the Ultimate bending load (Med)
Ultimate moment capacity
β’ Remember Equilibrium must always be maintained (SH = 0, SM = 0)
β’ Step 1 Draw a diagram of strain in the x-section and a diagram of stress
β’ Step 2 Assume a depth to neutral axis (X)
β’ Step 3 Calculate es using similar triangles and ecu3 = 0.0035
β’ Step 4 Calculate the force in the concrete compression zone (Fc
)
β’ Step 5 Calculate the stress in the reinforcement and subsequently the force in the
reinforcement (Fs
)
β’ Step 6 if Fc = Fs
then βXβ is correct (i.e. SH = 0). If not choose new βXβ
β’ Step 7 when correct βXβ has been obtained, calculate internal moment (moments
can be taken about any point, but it is suggested that you take moments about the
reinforcement) MRd= Fc
(d - lx/2)
β’ Since SM = 0, for equilibrium MRd must be equal to the applied Moment at failure
(i.e. the design moment MEd)