DesignExample5

DesignExample5 - 1.054/1.541 Mechanics and Design of...

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1.054/1.541 Mechanics and Design of Concrete Structures Spring 2004 Prof. Oral Buyukozturk Design Example – Yield Line Theory 1 / 6 Massachusetts Institute of Technology 1.054/1.541 Mechanics and Design of Concrete Structures (3-0-9) Design Example Analysis of Rectangular Slabs using Yield Line Theory Objective : To investigate the ultimate load of a rectangular slab supported by four fixed edges. Problem : A reinforced concrete slab (shown in Fig. 1) is supported by four fixed edges. It has a uniform thickness of 8 in., resulting in effective depths in the long direction of 7 in. and in the short direction of 6.5 in. Bottom reinforcement consists of #4 bars at 15 in. centers in each direction and top reinforcement consists of #4 bars at 12 in. in each direction. Material strengths are Concrete Uniaxial compressive strength: ' c f = 4000 psi; Steel Yield stress: = 60 ksi. y f y x 18 24 #4 @12 ’’ Top (0 ~ 24 ) (x-direction) #4 @15 ’’ Bottom (0 ~ 24 ) (x-direction) and (0 ~ 18 ) (y-direction) #4 @12 ‘’ Top (0 ~ 18 ) (y-direction) Fixed Fig. 1 Reinforced concrete slab and its dimensions Task : Using the yield line theory method, determine the ultimate load w u that can be carried by the slab.
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1.054/1.541 Mechanics and Design of Concrete Structures Spring 2004 Prof. Oral Buyukozturk Design Example – Yield Line Theory [Design Procedures] Given the information about the slab, shown in Fig. 1, below:
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DesignExample5 - 1.054/1.541 Mechanics and Design of...

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