Estimating active earth pressure accurately is very important when designing retaining wall. Based on the unified strength theory and plane strain assumption, an analytical solution has been developed to determine the active lateral earth pressure distribution on a retaining structure with the inclined cohesive backfill considering the effect of the intermediate principal stress. The solution d...

In the title compound, C21H24ClNO, the piperidine ring adopts a chair conformation. The two phenyl rings are inclined to one another by 20.7 (1)°, and are inclined to the mean plane of the four planar atoms of the piperidine ring by 87.64 (10) and 70.8 (1)°. The mol-ecular structure features short intra-molecular C-H⋯Cl and C-H⋯O contacts. In the crystal, there are no significant inter-molecula...

The flow of sand on a rough inclined plane is investigated experimentally. We directly show that a jammed layer of grains spontaneously forms below the avalanche. Its properties and its relation with the rheology of the flowing layer of grains are presented and discussed. In a second part, we study the dynamics of erosion and deposition solitary waves in the domain where they are transversally ...

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The title mol-ecule, C26H18N2O6S2, has an overall Z-shaped conformation, in which the benzene rings are inclined to the anthra-quinone mean plane by 60.60 (9) and 50.66 (13)°. In the crystal, N-H⋯O and C-H⋯O hydrogen bonds link the mol-ecules into layers parallel to the bc plane.

In the crystal structure of the title compound, C(8)H(10)BrN(2)O(+)·Br(-), inter-molecular N-H⋯Br hydrogen bonds link the mol-ecules into infinite chains along [001]. The inclined angle between the pyridine ring plane and the plane defined by the acid amide group is 63.97 (4)°.

The air-stable title compound, C(12)H(13)N(3)O, which is of inter-est due to its anti-bacterial properties, is an almost planar mol-ecule in which the ten atoms forming the 1,8-naphthyridine ring have an r.m.s. deviation of 0.03 Å from the least-squares plane calculated using the ten atoms. The plane of the acetyl-amino group is slightly inclined [11.7 (2)°] to the plane of the 1,8-naphthyridin...

In the title compound, C(23)H(15)ClN(2)O, the fused ring system is planar: the deviation of all the non-H atoms from the plane through all four fused rings is less than 0.31 Å. The plane of the phenyl ring is inclined at 71.78 (5)° to the mean plane of the 1,8-naphthrydine ring system. The crystal structure is devoid of any classical hydrogen bonds but π-π inter-actions are present.

The title compound, C(10)H(6)O(4), lies across a twofold rotation axis through the midpoint of the C-C bond between the two carbonyl groups. The furan ring plane and the plane through all atoms are inclined at 23.88 (1)°. In the crystal structure, weak C-H⋯O hydrogen bonds form sheets in the bc plane and columns down the c axis.

Ensembles of in-plane and inclined orbits in the vicinity of the Lagrange points of the terrestrial planets are integrated for up to 100 million years. The integrations incorporate the gravitational effects of Sun and the eight planets (Pluto is neglected). Mercury is the least likely planet, as it is unable to retain tadpole orbits over 100 million year timescales. Mercurian Trojans probably d...