24.12.2014 Views

Earthquake Engineering Research - HKU Libraries - The University ...

Earthquake Engineering Research - HKU Libraries - The University ...

Earthquake Engineering Research - HKU Libraries - The University ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

324<br />

Development Background<br />

Although both B- and D-regions are of similar importance, their design methodologies are not<br />

equail/well-founded. Strong rational bases have long been established for the design of B-regions,<br />

but empirical rules or common detailing practices are still currently adopted for D-regions. In B-<br />

regions, for examples, the Bernoulli beam theory is the basis for the flexural design and the truss<br />

analogy method is used for the shear design. For common types of D-regions, such as beam-column<br />

joints, "corbels, and deep beams, approaches based solely on test results have still been used. For<br />

other D-regions, there is little to no guidance found in literature.<br />

Motivated to unify the design methodology for B- and D-regions, Marti (1985) and Schlaich et al.<br />

(1987) promoted the STM. This<br />

method basically extends the use of | ^|<br />

the truss model employed in the<br />

truss analogy method.<br />

Design Methodology<br />

<strong>The</strong> STM is based on the lowerbound<br />

theory of limit analysis. In<br />

the STM, an internal trass is<br />

envisioned to carry the applied<br />

loading through the D-region to its<br />

supports or boundaries. <strong>The</strong> truss is<br />

Beam-Column Joint<br />

Coupling Beam in<br />

Coupled Shear Wai<br />

Non-Slender Wall<br />

Fig. 2 Examples of Strut-and-Tie Models<br />

termed strut-and-tie model. Like the steel truss, the strut-and-tie model consists of struts, ties, and<br />

joint (or nodes). Struts are the compression members while the ties are tension members. Nodes are<br />

the meeting points of struts and ties. Examples of strut-and-tie models for a few typical D-regions<br />

are illustrated in Fig. 2.<br />

<strong>The</strong> strut-and-tie model has to be in equilibrium externally with the applied loading and reactions<br />

and internally at each node. Reinforcing or prestressing steel is selected to serve as the ties, and the<br />

dimensions for struts and nodes are selected so that they have sufficient strength and do not violate<br />

the D-region boundary.<br />

Steps in Design by the STM<br />

<strong>The</strong> design process using STM consists mainly of five steps described below.<br />

1. Define the boundaries of the D-region and then evaluate the concentrated, distributed, and<br />

sectional forces that act on the boundaries of this region.<br />

2. Sketch a strut-and-tie model and solve for the truss member forces.<br />

3. Select the reinforcing or prestressing steel that is necessary to provide the required tie<br />

capacity and ensure that this reinforcement is properly anchored in the nodal zones (joints of<br />

the truss).<br />

4. Evaluate the dimensions of the struts and nodes such that the capacity of these components<br />

is sufficient to carry the design force values.<br />

5. Provide distributed reinforcement to increase the ductility of the D-region.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!