Transformed Area Method (Concrete Cracked - Elastic Stresses Stage) Problem 2) Modified Problem 2.13 (page 55, McCormac and Brown, 10th Ed.) Change f.to 5 ksi and cross-sectional properties See figures below. 30 kip W = 2 kip/ft A В 10 ft. 20 ft. 30 ft. f' = 5000 psi 30 in. 36 in. 8 #9 bars 3 in. 3 in. 16 in. (a) Find the reactions at A and B. RA = kip, RB = kip (b) Determine the maximum applied moment. Mmax = ft*kip (c) Calculate the cracking moment of the beam and verify that the beam has cracked under the applied loads. Mg = Moment of inertia of gross section, Ig =, ft*kip in3 Modulus of Rupture f, = psi

0 ww C. 6.31 A concrete mix includes the following ingredients per cubic foot: a. Cement = 25 lb b. Water = 11 lb c. No admixture Table P6.31 shows possible changes that can be made to the mix ingredi- ents. Indicate in the appropriate boxes in the table what will happen in each case for the workability and the ultimate compressive strength as increase, decrease, or approximately the same. TABLE P6.31 to dignope Cement (lb) 25 28 25 25 25 25 25 amigur Water (lb) 15 11 11 8 11 11 11 Admixture None None Water reducer Water reducer Superplasticizer Air entrainer Accelerator What Will Happen? www.10345 Ultimate Compressive we Strength Workability

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GG-36 IGG-36 AY G00x/00 600x/00 ( COLUMN ( COLUMN COL LC L1 L2 0.75 LC OR 0.25 L1 (GREATER GOVERNS) 0.25 L2 OR 0.25 LI SPLICE ZONE FOR (GREATER GOVERNS) GIRDER TOP BARS 0.25 L1 OR 0.75 LC 0.25 L2 0.25 L1 OR 0.25 L2 (GREATER GOVERNS) SPLICE LENGTH SEE TABLE A2 SPLICE LENGTH SEE TABLE EQ. EQ. TOP BARS AT SUPPORT EQ. EQ. CONTINUOUS WEB BARS -TOP BARS AT CANTILEVER'S DISCONTINUOUS END TOP BARS AT SUPPORT TOP BARS AT MIDSPAN TOP BARS AT MIDSPAN EQ. EQ. EQ. ED NO SPLICE SHALL BE ALLOWED 2d FROM THE FACE OF THE SUPPORT 2d Вотом BARS AT SUPPORT BOTTOM BARS AT MIDSPAN Воттом ВARS AT MIDSPAN 2d NO SPLICE SHALL BE ALLOWED 20 FROM THE FACE OF THE SUPPORT 0.165 L1 ВОТОМ ВARS AT CANTILEVER'S DISCONTINUOUS END ВОTTOМ BARS AT SUPPORT 50mm MAX. AT SUPPORT 0.165 L2 HOOP REINFORCEMENT SEE SCHEDULE HOOP REINFORCEMENT SEE SCHEDULE HOOP REINFORCEMENT SEE SCHEDULE DISCONTINUOUS FREE END CONTINUOUS END "A" OR "B" (SEE REMARKS) CONTINUOUS END "A" OR "B" (SEE REMARKS) DISCONTINUOUS END A1 Omm TYP. GG-131…