Solution to Homework Set #2 ENCE 454 – Design of Concrete Structures – SPRING 2004 Assigned T, 2/17 Due T, 2/24 Problem 1: Calculate the cracking moment (resisting moment) for the T-shaped unreinforced concrete beam shown in the figure. Use f c′ = 4000 psi. Assume positive moment (compression in the top). Use the internal couple method and check using the flexure formula. f top 20′′ 4′′ + 6.67′′ 4.67′′ 20′′ N.A. 5.33′′ + 15.33′′ f bott 5′′ *** SOLUTION *** Next Page HW #2, ENCE 454 – Spring 2004 1/9 © Assakkaf HW #2, ENCE 454 – Spring 2004 2/9 © Assakkaf HW #2, ENCE 454 – Spring 2004 3/9 © Assakkaf Problem 2: Textbook: 5.1 (part b only) HW #2, ENCE 454 – Spring 2004 4/9 © Assakkaf Problem 3: Textbook: 5.2 (part a only) HW #2, ENCE 454 – Spring 2004 5/9 © Assakkaf Problem 4: Textbook: 5.4 HW #2, ENCE 454 – Spring 2004 6/9 © Assakkaf HW #2, ENCE 454 – Spring 2004 7/9 © Assakkaf Problem 5: Textbook: 5.5 (the beam of part b only) HW #2, ENCE 454 – Spring 2004 8/9 © Assakkaf HW #2, ENCE 454 – Spring 2004 9/9 © Assakkaf