1. Flexural capacity is rather insensitive to sive strength. and addition of compression steel. faximum curvature increases with an increase in beam widthst,rceonngcthrebteuct oamrepdruescstiivoen strength, and the addition of compression steel. An increase in yield strength 01 steel leads to an increase in An increase in l’IMCliVe dlpih leads It) ineleaSe in strength but no or little change in curvature capacity. in ma‘inmin curvature,
.4. 3.1 3. 3.3. 3.4. 3.5. 3.6. 3.7. 3.8. 3.9. 3.10. 3.11.
SELR.TTEDREFERENCES
• ind 1-lognestad. A Snuiv of Combined Bending and Axial Loud in Reinforced Concrete ent Station, University of Ill* • inois November 1951. Experiment Members. Bulletin Series No. 399. Engineering – Concepts in Ultimate Load Design of Reinforced Concrete Members,” ACI Journal, Proceedings, 48, June 1952, 809-828. Eivind Hognestad, N. W. Hanson, and Douglas McHenry. “Concrete Stress Distribution in 52, Dec Ultimate Strength Design,” ACI Journal, Proceedings, ember 1955, 455-479. Jack R. Janney, Eivind Hognestad , and Douglas McHenry. “Ultimate Flexural Strength of Prestressed and Conventionally Reinforced Concrete Beams,” ACI Journal, Proceedings, 52, February 1956, 601-620. Eivind Hognestad. “Confirmation of Inelastic Stress Distribution in Concrete,” Journal of the Structural Division, ASCE, 83, Paper No. 1189, ST2, March 1957. Alan H. Mattock, Ladislav B. Kriz, and Eivind Hognestad. “Rectangular Concrete Stress Distribution in Ultimate Strength Design,” ACI Journal, Proceedings, 57, February 1961, 875-928. Charles S. Whitney. “Design of Reinforced Concrete Members under Flexure or Combined Flexure and Direct Compression,” ACI Journal, Proceedings, 33, 1937, 483-498. Charles S. Whitney. “Plastic Theory of Reinforced Concrete Design,” Transactions ASCE, 107, 1942, 251-326. C. S.Whitney and Edward Cohen. “Guide for Ultimate Strength Design of Reinforced Concrete,” ACI Journal, Proceedings, 53, November 1956, 455-475. ACI-ASCE Joint Committee. “Report on ASCE-ACI Joint Committee on Ultimate-Strength Design,” ASCE, Proceedings, 81, Paper No. 809. October 1955. See also ACI Journal, Proceedings, 52, January 1956, 505-524. Robert E. Abendroth and Charles G. Salmon. “Sensitivity Study of Reinforced Concrete Simple Beams,” ACI Journal, Proceedings, 83, September-October 1986, 764-771.
PROBLEMS
All problems* (except Problems 3.1 and 3.2), are to be done in accordance with the ACI Code; all loads given are service loads, unless otherwise indicated. Wherever possible, basic principles are to be used for solutions, avoiding the direct use of formulas. All design problems require a clear statement of the final choice at the end of the calculations, along with a design sketch drawn to scale.
Review Problems in Mechanics of Materials
3.1 An elastic homogeneous beam of material capable of carrying both tension and corn-pression, has the dimensions shown in the figure for Problem 3.1; it is simply supported over a span of 20 ft (6 m) center-to-center
of supports. The beam carries a uniformly distributed load of 2 klf( kips per linear ft) (30 kN/m) in addition to a concentrated load of 10 kips (45 kN) located at 5 ft( 1.5 m) from the right end of the span.
* Most problems may be solved as problems stated in Inch-Pound units, or as problems in SI units using quantities in paren-theses. The metric conversions areapproximate to avoid implying higher precision for the given information in metric units than that for the Inch-Pound units.
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