Abstract Shell folded footings have drawn the interest of researchers for decades as an alternative to typical flat isolated because can reduce needed amount reinforced concrete in addition enhancing overall geotechnical performance supporting soil medium. The main setback utilizing such is relatively complex geometry bottom cavity, which requires proper compaction used fill that cavity. Curren...

Abstract In this paper, the application is designed for calculation of bearing capacity using SPT values as per IS code 6403. Accordingly, various input parameters that govern soil are value (N, depth Footing, width foundation, length footing, cohesion, unit weight, angle inclination, types and water table. The programmed in java language android studio 2.3 version. proposed illustrated by diff...

we introduce center-like subsets z*(r,f), z**(r,f) and z1(r,f), where r is a ring and f is a map from r to r. for f a derivation or a non-identity epimorphism and r a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of r.

for an arbitrary ring $r$, the zero-divisor graph of $r$, denoted by $gamma (r)$, is an undirected simple graph that its vertices are all nonzero zero-divisors of $r$ in which any two vertices $x$ and $y$ are adjacent if and only if either $xy=0$ or $yx=0$. it is well-known that for any commutative ring $r$, $gamma (r) cong gamma (t(r))$ where $t(r)$ is the (total) quotient ring of $r$. in this...

let r be a prime ring with extended centroid c, h a generalized derivation of r and n ⩾ 1 a xed integer. in this paper we study the situations: (1) if (h(xy))n = (h(x))n(h(y))n for all x; y 2 r; (2) obtain some related result in case r is a noncommutative banach algebra and h is continuous or spectrally bounded.

a ring $r$ is a strongly clean ring if every element in $r$ is the sum of an idempotent and a unit that commutate. we construct some classes of strongly clean rings which have stable range one. it is shown that such cleanness of $2 imes 2$ matrices over commutative local rings is completely determined in terms of solvability of quadratic equations.