A simply supported beam with a span of 5 m is built with the isolated T-section shown in Fig. (4). The beam is used to support a uniformly distributed dead load (including self-weight) of 20 kN/m and uniformly distributed live load of 25 kN/m. If the simply supported beam is part of floor attached to partition not likely to be damaged by the deflection, check if the deflection in the beam within the permissible limits of ACI318 code? ( Assume 20% of the live load is sustained after 5- years). Given:f'c =21 MPa, and fy=420 MPa, and n = 9. 700 mm 175 mm Stirrups #10 5#32 400 mm 300 mm Fig. (4)

A simply supported beam with a span of 5 m is built with the isolated T-section shown in Fig. (4). The beam is used to support a uniformly distributed dead load (including self-weight) of 20 kN/m and uniformly distributed live load of 25 kN/m. If the simply supported beam is part of floor attached to partition not likely to be damaged by the deflection, check if the deflection in the beam within the permissible limits of ACI318 code? ( Assume 20% of the live load is sustained after 5- years). Given:f'c =21 MPa, and fy=420 MPa, and n = 9. 700 mm 175 mm Stirrups #10 5#32 400 mm 300 mm Fig. (4)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.3.1P: A propped cantilever steel beam is constructed from a W12 × 35 section. The beam is loaded by its...

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

4.
A simply supported beam with a span of 5 m is built with the isolated T-section
shown in Fig. (4). The beam is used to support a uniformly distributed dead load
(including self-weight) of 20 kN/m and uniformly distributed live load of 25 kN/m. If
the simply supported beam is part of floor attached to partition not likely to be
damaged by the deflection, check if the deflection in the beam within the
permissible limits of ACI318 code? ( Assume 20% of the live load is sustained after 5-
years). Given: fc=21 MPa, and f,=420 MPa, and n = 9.
700 mm
|75 mm
Stirrups #10
5#32
400 mm
300 mm
Fig. (4)

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