STEEL DESIGN W/ ACCESS
STEEL DESIGN W/ ACCESS
6th Edition
ISBN: 9781337761499
Author: Segui
Publisher: CENGAGE L
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Chapter 9, Problem 9.4.1P
To determine

(a)

Whether the beam W21×57 is satisfactory by using LFRD method.

To determine

(b)

Whether the beam W21×57 is satisfactory by using ASD method.

To determine

(c)

Number of studs required.

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Design a cantilevered rectangular RC beam subjected to a maximum factored load bending moment, M u = 260 kip-ft. The clear height requirements for the building limits the total beam depth to 22 in. Determine the beam width and the steel design. Use f c’ = 6,000 psi, f y = 40,000 psi. The grade beam is cast against earth and permanently in contact with soil. a. Assume an initial steel ratio or beam width. b. Set up the bending design equation. c. Solve for either the steel ratio or the beam width. d. Design needed steel. 2 Hint: Knowing “h”, one can estimate the “d” value. So, two remaining variables can be estimated. There are many acceptable solutions. You can either assume a steel ration and solve for width “b”, or assume a beam width “b” and solve for the steel ratio. Remember that a good beam aspect ratio (d/b) is approximately 2.0
A 15 in. x 26 in. rectangular RC beam (shown in figure below) supports a service uniform dead load of 1.3 kip/ft and a service uniform live load of 1.6 kip/ft. The dead load includes the beam’s self-weight. Design the reinforcement required for maximum moments and show the design in sketches. Use f c ’ = 4,000 psi and f y = 60,000 psi. The beam is used in an open parking garage and is exposed to weather. a. Find factored maximum bending moments. b. Design for max. negative moment. c. Design for max. positive moment. Hint: Assume an initial beam shape (b, d), then solve for the needed reinforcements at the maximum negative and positive factored bending moments. This is like the class example.
A simply supported rectangular RC beam is to carry a uniform factored dead load of 1.2 kip/ftand a concentrated factored live load of 16 kip at mid-span. The beam self-weight is not includedin these loads. The concrete weighs 135 pcf. The span length is 25 ft. Please find the smallestsection allowed by ACI and design accordingly. Use f c’ = 5,000 psi, f y = 75,000 psi. Theexposure is interior with no weather exposure.a. Assume an arbitrary self-weight/ft of the beam.b. Find the maximum factored bending moment in the beam.c. Set up the moment equation and solve for the beam section.d. Revise the assumption if needed
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