In certain aspects, devices and methods for moving a toilet are provided that can include an elongated member, a first engaging member, and a second engaging member. The engaging members can be coupled to the elongated member and extend radially away from the elongated member. The engaging members can include contact surfaces that are disposed distal to the elongated member and that are configured to engage the toilet. In other aspects, devices and methods for moving a toilet can include a handle, a first collar, and a second collar. The collars can be coupled to the handle and can be configured to slide along the handle in unlocked modes and to positionally secure along the handle in locked modes. The collars can be configured to receive and secure to one or more removable shackles.

A method for calculating a conveyance velocity at which oscillation of a liquid surface is suppressed in conveying a container in which a liquid is accommodated, e.g., a ladle in which molten metal is accommodated. In a graph of conveyance velocity versus conveyance time, an upwardly convex parabola and a downwardly convex parabola having vertical symmetry are prepared in advance, the downwardly convex parabola and the upwardly convex parabola are smoothly connected to form an acceleration curve, the upwardly convex parabola and the downwardly convex parabola are smoothly connected to form a deceleration curve, and the conveyance velocity is obtained from the acceleration curve and the deceleration curve smoothly connected where the slope thereof is zero.

Systems, methods, and apparatuses are disclosed for automated container retrieval and delivery systems. In one embodiment, an example container handling system may include a platform, a first rotatable arm disposed on a lower side of the platform, where the first rotatable arm is offset from a front end of the platform, a motor configured to rotate the first rotatable arm from a first position to a second position, and a first wheel disposed at a distal end of the first rotatable arm. The container handling system may be configured to raise a container from an angled position to a horizontal position, and the container may be in the horizontal position when the first rotatable arm is in the second position.

A method for calculating a conveyance velocity at which oscillation of a liquid surface is suppressed in conveying a container in which a liquid is accommodated, e.g., a ladle in which molten metal is accommodated. In a graph of conveyance velocity versus conveyance time, an upwardly convex parabola and a downwardly convex parabola having vertical symmetry are prepared in advance, the downwardly convex parabola and the upwardly convex parabola are smoothly connected to form an acceleration curve, the upwardly convex parabola and the downwardly convex parabola are smoothly connected to form a deceleration curve, and the conveyance velocity is obtained from the acceleration curve and the deceleration curve smoothly connected where the slope thereof is zero.

In certain aspects, devices and methods for moving a toilet are provided that can include an elongated member, first and second connectors coupled to the elongated member, first and second extension elements coupled to the respective first and second connectors and extending radially away from the elongated member. The first connector having a locking element and one or more through-holes disposed therein. The first and second extension elements include contact surfaces that are configured to engage the toilet. In other aspects, devices and methods for moving a toilet can include a handle, first and second collars coupled to the handle, and first and second shackles coupled to the respective first and second collars. In some instances, the shackles are adjustable along a radial direction extending from the handle. In some instances, the devices and methods include a collar having a locking lever and one or more through-holes.

In certain aspects, devices and methods for moving a toilet are provided that can include an elongated member, first and second connectors coupled to the elongated engaging member, first and second extension elements coupled to the respective first and second connectors and extending radially away from the elongated member, and means for securing the first extension element to the first collar. The first and second extension elements include contact surfaces that are configured to engage the toilet. In other aspects, devices and methods for moving a toilet can include a handle, first and second collars coupled to the handle, and first and second shackles coupled to the respective first and second collars. In some instances, the shackles are adjustable along a radial direction extending from the handle. In some instances, the devices and methods include a means for securing the first and second shackles to the respective first and second collars.

Automated mobile sortation and delivery systems may include a track or rail system positioned within a cargo area of a vehicle, a plurality of carrier robots that move along the track system, and a plurality of package or item racks that are engaged and moved by the carrier robots. The carrier robots may load and unload package racks relative to the cargo area, may sort or shuffle the package racks among a plurality of positions, and may position or place package racks at an access position to enable access to packages loaded within the package racks by associates for delivery. The automated mobile sortation and delivery systems may facilitate faster, more reliable, and more efficient delivery of packages using automated and highly organized sortation and retrieval processes, thereby reducing the time and effort associated with finding, identifying, and delivering correct packages to delivery destinations according to a delivery route or schedule.