It is very difficult to model the soil-structure interaction problem. In RCC buildings slab on grade is a very common construction system e. For safe and economical design, compute plate displacement and stresses accurately. Difficult to obtain samples for testing producing results in accordance with ground behavior. Necessary to make simplifying assumptions.

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Enter the length of the beam between end supports. Enter the beam depth and width to be used for calculation of moment of inertia. End Fixities Free : Indicates the beam end has no vertical, horizontal, or rotational restraint. Guided : Indicates the beam end has horizontal restraint, but is not allowed to rotate or move horizontally. Pinned : Indicates the beam end is free to rotate, but cannot translate vertically or horizontally.

Fixed : Indicates the beam end is fully restrained against vertical and horizontal translation and cannot rotate. A Soil Engineer, based upon field testing of the soil typically supplies this value. The units for this number are pounds per square inch per inch of deflection, or just an ordinary spring constant. Load Combinations These entries define load factors to be applied to the loads entered on the next three tabs.

You can use these to build ACI type factored load combinations for the analysis run. There is one load factor for Dead, Live and Short Term loads. The "Overall" factor is applied to the summation of the three. The "Current Load Combination" selection tells the program which loads to use. This means that all loads of all types will have the factors applied to them and then the overall factor applied.

In this example the final load applied to the beam is: 1. The values for dead, live, and short-term loads are combined according to Load Combination.

If ELoc is specified greater than Span except for an Infinite right support , then the excess distance is ignored. Point Loads Tab Up to 11 point loads can be applied to the beam, with the dead, live, and short-term components combined according to Load Combination. If the ELoc distance is specified greater that Span except for Infinite right supports , the load is ignored. Moments Tab The user may apply up to 5 concentrated moments at any location on the beam.

The sign convention follows the right hand rule, where a positive moment applies a torque to the beam in a counter-clockwise direction. Results Tab Shear Reactions Maximum positive and negative shears and the locations where they occur are given by checking the span at th points. Moments Maximum positive and negative moments and the locations where they occur are given by checking the span at th points.

Rotation Maximum positive and negative rotations and the locations where they occur are given by checking the span at th points. Deflection Maximum positive and negative deflections and the locations where they occur are given by checking the span at th points. Soil Pressure Using the deflection values given above and multiplying by the subgrade modulus gives the soil pressures. Maximum positive and negative soil pressures and the locations where they occur are given by checking the span at th points.

Sketch Tab This tab provides a sketch of the beam with loads and resulting values shown. Using the [Print Sketch] button will print the sketch in large scale on a single sheet of paper. Diagrams Tab This displays a moment, shear, and deflection diagram for the beam with the applied loads and end conditions.

Note the two tabs Printing Tab This tab allows you to control which areas of the calculation to print. Checking a box will signal that the information described by the item will be printed. However, if there is no information in for a particular selection it will not be printed. So these checkboxes are best described as "If this particular area of the calculations contains data then print it".

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## Analysis of Beams on Elastic Foundation

Akiramar Please enter a number less than or equal to 1. A variational principle is introduced with the slope field due to bending only and the displacement field approximated by independent quantities subjected to variation. Editors of the Executive Intelligence Review. Recommended articles Citing articles 0. This item beams on elastic foundation hetenyi be shipped through the Global Shipping Program and includes international tracking. Contact the founvation — opens in a new window or tab and request a shipping method to your location.

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## Beams on Elastic Foundation (Spreadsheet)

The exact solution for the governing differential equation of the problem is obtained based on the beam-on-elastic foundation approach in which the soil reaction on the pile is related directly to the pile lateral deflection. In this investigation, the modulus of subgrade reactions is assumed to be constant along the pile depth. Parametric study through numerical examples is carried out to prove the validity and accuracy of the obtained results. In general, the derived displacement field can be used to study pile response in multilayered soil profiles by subdividing the pile into a number of elements. It is found that tapered piles show stiffer behavior than that for prismatic ones having the same material volume with an optimum stress distribution along the pile depth. Accordingly, tapered piles are more efficient and economic than those having the same material volume. Verification is also carried out for the obtained results through finite element analysis and the selected number of elements gives a very good agreement for lateral deflection and a larger number of elements is required to obtain better results for bending moment because of moment loss resulting from the lack of shear diagram.

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## BEAMS ON ELASTIC FOUNDATION HETENYI DOWNLOAD

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