In this paper, an analytical method is developed to study the free vibration of multi-cracked, axially loaded beams
with differing boundary conditions, namely, hinged-hinged, clamped-clamped, clamped-hinged, and clamped-free.
The cracked beam system is modelled as a number of beam segments connected by massless rotational springs with
sectional flexibility. Each segment is assumed to obey the Euler-Bernoulli beam theory. The characteristic equation
of the cracked beam with differing boundary conditions, which is a function of the natural frequency, sizes and
location of the cracks, and the physical parameters of the beam, as well as the corresponding mode shapes, is
derived using a simple transfer matrix method. In this paper, a detailed parametric study is conducted to show the
effects of cracks and axial load on vibrational properties of the cracked beam. The results obtained in this study
agree well with analytical results available in the literature.
The effectiveness of near-surface-mounted carbon-fiber-reinforced polymers on strengthening of self-compacted concrete two-way slabs with opening was investigated experimentally. The experimental work included testing eighteen specimen two-way slabs with an opening, which included 6 control specimens and 12 strengthened with CFRP strips and tested under four-line load around the opening. The dimensions of the slab specimens are (1000 × 1000) mm, (100) mm depth. The reinforced concrete slabs containing a single concentric opening with 3 different skew angles (0°, 30° and 45°) strengthened by CFRP strips. Strengthening effectiveness was investigated on slabs using near-surface-mounted carbon-fiber-reinforced polymer strips with inclined and combined configurations. The results showed, firstly, that the load-carrying capacities of the self-compacted concrete slabs with openings have been decreasing with skew angle increasing and secondly that using near-surface-mounted carbon-fiber- reinforced polymers increases the ultimate strength of two way slab selfcompacted concrete slabs by (1%—32%) for both strengthening configurations, with the combined configurations performing better. Also, the cracking load and stiffness increased, while deflection and toughness decreased.
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