A rectangular beam with cross section b = 14 in.,h = 24 in., and d = 21.5 in. supports a total fac-tored load of 3.9 kips/ft, including its own dead load.The beam is simply supported with a 22-ft span. Itis reinforced with five No. 7 Grade-60 bars, two ofwhich are cutoff between midspan and the supportand three of which extend 10 in. past the centers ofthe supports. f. = 4000 psi. (normal weight). Thebeam has Grade 60 No. 3 stirrups satisfying ACICode Sections 9.7.6.2.2 and 9.6.3.3.(a) Plot to scale the factored moment diagram.M = włx/2 – wx²/2, where x is the distancefrom the support and l is the span.(b) Plot the moment-strength diagram and locatethe cutoff points for the two cutoff bars suchthat the moment strength diagram stays abovethe factored moment.

The maximum moment for a occurs at the mid-span of the rectangular beam. moment formula is wx2(l-x)…

Answered: A rectangular beam with cross section b…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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"M1AQ59. For a loaded propped beam in the figure below, design a singly reinforced beam (using the USD method and NSCP 2015) for the positive moment. Give the complete details of the design. The total depth of the beam must not exceed 600 mm to ensure acceptable floor-to-floor vertical clearance. f'c = 29.1 MPa and fy = 414.4 MPa. It carries a super- imposed dead load of 100 kN/m and a live load of 39.1 kN/m all applied over the entire length of the beam. Other load and beam properties are the following: L1 = 6.6 m, L2 = 3 m, 12 = 0.75 of 1. Use a minimum concrete cover of 60 mm. Optimize the design such that the minimum percent difference of the moment strength with the actual moment is 1% but to avoid overdesign it's max percent difference is 5%. Design the rectangular beam details to provide: width, total depth, effective depth, number and diameter of tension bars (for two layers, provide number of bars in the upper and lower layer and vertical clear spacing between the 2 layers),…
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