Sentence examples for using the proposed equations from inspiring English sources

Results obtained by using the proposed equations are compared to those of the available equations.

It is shown that the design strengths calculated using the proposed equations are generally more accurate and reliable than those calculated using the current design rules.

The compression and the swelling indices for eighty-two natural specimens were estimated using the proposed equations and were found to be similar to the measured values.

A six-storey concrete frame is then designed using the proposed equations and its lateral performance is examined using pushover analysis.

The response of specimens can be interpreted using a multilinear horizontal force-displacement response idealization, whose parameters can be estimated using the proposed equations.

With a multiple-line cracking pattern, the anchorage lengths of the FRP fibres cannot be calculated using the proposed equations for a single-line crack pattern because in a multiple-shear-crack pattern, there are several irregular intersections of fibres.

5 While we accept this may result in the number of hip fracture admissions being overestimated it was carried out to simplify the analysis, and the ability of other centres to use the proposed equations.

It is shown from the comparison that the joint strengths calculated using the proposed design equations agreed well with the finite element analysis results, which means the proposed design equations are verified to be accurate.

It is shown from the comparison that the joint strengths of square and diamond bird-beak SHS T-joints calculated using the proposed design equations agreed well with the finite element analysis results, which means the proposed design equations are verified to be accurate.

The upper and lower limits of life are estimated using the proposed life equations.

The true axial stress vs. the true axial strain curves in uniaxial compression from numerical simulations of the test configurations at high strain rates using the proposed constitutive equations are found to agree well with the experimental results available in the literature.