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Maximum overhang [article]

Mike Paterson, Yuval Peres, Mikkel Thorup, Peter Winkler, Uri Zwick
2007 arXiv   pre-print
We show here that order $n^{1/3}$ is indeed best possible, resolving the long-standing overhang problem up to a constant factor.  ...  Recently, Paterson and Zwick constructed $n$-block stacks with overhangs of order $n^{1/3}$, exponentially better than previously thought possible.  ...  Introduction The problem of stacking n blocks on a table so as to achieve maximum overhang has a long history.  ... 
arXiv:0707.0093v1 fatcat:fqollhldpnfqpa3pxeegq2x5i4

Maximum Overhang

Mike Paterson, Yuval Peres, Mikkel Thorup, Peter Winkler, Uri Zwick
2009 The American mathematical monthly  
By the nature of the overhang problem, stacks that achieve a maximum overhang are on the verge of collapse and thus unstable.  ...  The overhang problem The natural formulation of the overhang problem is now: What is the maximum overhang achieved by a balanced n-block stack? The main result of this paper is: Theorem 2.3.  ... 
doi:10.4169/000298909x474855 fatcat:2fprt2m3c5avlbfdwzdy5s7nq4

Page 65 of Energy Engineering Vol. 54, Issue 7 [page]

1957 Energy Engineering  
However, the greatest reduction due to an overhanging roof of the maximum cooling load will l>e due to shading of the windows.  ...  For the con¬ ditions of this day, the maximum cooling load and the time of the day it occurs is determined, considering the house to have no overhanging roof.  ... 

Fun with stacking blocks

John F. Hall
2005 American Journal of Physics  
How can a given number of rigid, rectangular blocks be stacked in a planar arrangement to produce the maximum overhang over a support edge?  ...  The maximum overhang is unchanged, but the configuration that achieves the maximum overhang is now seen to be nonunique.  ...  of the maximum overhang problem, a new block stacking challenge is posed.  ... 
doi:10.1119/1.2074007 fatcat:eqgoxmp5pjffbpspnzkk3mvtdm

Page 972 of The Journal of Animal Ecology Vol. 71, Issue 6 [page]

2002 The Journal of Animal Ecology  
Carry-le-Rouet Private collection Cap de Creus to Cave interior Overhangs Cave entrance Ww hv ¢ wn oo Overhangs Overhangs Overhangs Overhangs ~ & bv tv co ~ ane 1 Overhangs Overhangs Maximum basal diameter  ...  For site characteristics and descriptive statistics see Table 4. larger than the maximum diameter occurring at the site protected for 15 years.  ... 

Investigation of overhang effect on cutting tool vibration for tool condition monitoring

K. Khalili, M. Danesh
2013 Journal of Measurements in Engineering  
However, a longer tool overhang may be required depending on the geometry of the workpiece and in situations such as internal turning process. The long overhang increases vibration.  ...  In this paper the relations between tool overhang and the most commonly used signal features is investigated.  ...  DANESH Fig. 8 .Fig. 9 . 89 Effect of overhang on maximum of PSD ( ) and frequency at maximum of PSD ( STFT of the signals related to different overhangs: (a) = 40mm (b) = 110 mm Fig. 10 . 10 The effect  ... 
doaj:8aadef8948f341939767780080a03723 fatcat:d7gu7odgkjfytknch35nptfezu

Modeling And Parameter Optimization For Surface Roughness And Residual Stress In Dry Turning Process

M. H. El-Axir, M. M. Elkhabeery, M. M. Okasha
2017 Zenodo  
Minimum maximum tensile residual stress can be obtained with a combination of tool overhang of 37 mm with very low depth of cut, low rotational speed and feed rate of 0.188 mm/rev.  ...  Furthermore, the depth of cut and tool overhang are less significant parameters, whereas tool overhang interacts with feed rate.  ...  Maximum residual stress is influenced by the change in feed rate coupled with changes in tool overhang.  ... 
doi:10.5281/zenodo.1037236 fatcat:xv6e4kedufh4jhbuzf5jgccs6y

The Effects of Overhang Forming Direction on Thermal Behaviors during Additive Manufacturing Ti-6Al-4V Alloy

Fan Wu, Zhonggang Sun, Wei Chen, Zulei Liang
2021 Materials  
Selective laser melting was recently introduced to fabricate complex parts that are likely to contain overhangs.  ...  Process parameters, scanning strategies, support structures, and fast prediction techniques are being frequently studied, but little information about overhang forming direction has been reported.  ...  The as-fabricated T-shape overhangs, the laser scanning strategy, and the forming direction on the working plane are shown in Figure 9a and the maximum displacements of the overhangs in the building  ... 
doi:10.3390/ma14133749 pmid:34279320 pmcid:PMC8269800 fatcat:6x2yixdrf5ehvgoz5ie2nuobxe

The siRNA sequence and guide strand overhangs are determinants of in vivo duration of silencing

Walter R. Strapps, Victoria Pickering, Gladys T. Muiru, Julie Rice, Stacey Orsborn, Barry A. Polisky, Alan Sachs, Steven R. Bartz
2010 Nucleic Acids Research  
Our experiments have determined that a measurable duration parameter exists, distinct from both maximum silencing ability and the potency of siRNAs.  ...  Overhangs that contain ribonucleotides or 2 0 -O-methyl modified nucleotides do not demonstrate this same impairment.  ...  We demonstrate that the nucleotide content of the guide strand overhang appears to have little or no effect on maximum silencing in vitro.  ... 
doi:10.1093/nar/gkq206 pmid:20360048 pmcid:PMC2919711 fatcat:a5muunmqlzc7pngpbvvhuogzmq

Modeling Wire Bonding on Overhang Die to Ensure No Die Crack in Thin BGA Packages

Jefferson S. Talledo
2019 Zenodo  
Fig. 4 . 4 Force vs maximum die stress.  ...  Modeling shows that maximum die stress (indicated in red arrow, Fig. 3 ) occurs in the die area above the bottom die.  ... 
doi:10.5281/zenodo.3463875 fatcat:ig3c3xsgkvb5vkita5hi373sse

PARAMETRIC STUDY AND ANALYSIS OF PRE-STRESSED CONCRETE BOX GIRDER BRIDGE

Rashmi R Koushik .
2016 International Journal of Research in Engineering and Technology  
This paper discusses the Parametric study and Analysis of Prestressed Concrete Box-girder bridge and focuses on the Structural Analysis comparison of Simply Supported, Continuous and Overhang bridges for  ...  Chart 9.1 -Maximum Deflection Vs Bridge number for Overhang bridges with and without Pre-stressing force.Table 1.3 -Maximum Deflection for Overhang bridges .2 -Maximum Deflection for Continuous bridges  ...  Table 1 1 Maximum Deflection Vs Bridge number for Overhang bridges (central span) with and without Prestressing force.  ... 
doi:10.15623/ijret.2016.0507077 fatcat:zca2ve4ztjatlfigbf3sifs5ae

Dental implant stress analysis with selected prosthetic crown overhangs sizes

Agnieszka Łagoda, Adam Niesłony, M. Borys, Z. Czyż, K. Falkowicz, J. Kujawska, M. Kulisz, M. Szala
2017 ITM Web of Conferences  
One of them is occurrence of prosthetic crown overhangs.  ...  The overhangs increase the stress value and risk of the glue shattering, causing a crown fall out and requiring another implantologist's appointment.  ...  There is maximum reduced stress according to Huber-Mises hypothesis bar graph with comparison of stresses between no overhang and overhang model shown in the fig. 7 .  ... 
doi:10.1051/itmconf/20171507002 fatcat:6jxi4hoorfdqxebicaog22xyam

Optimum Overhang Geometry for Building Energy Saving in Tropical Climates

Dilshan Remaz Ossen, Mohd. Hamdan Ahmad, Nor Haliza Madros
2005 Journal of Asian Architecture and Building Engineering  
For north and south orientations, maximum shading from direct solar radiation can be achieved by overhang ratios of 0.6 and 0.8 respectively.  ...  A range of overhang depths were selected to determine which of the shading hypothesis was optimum in terms of terminating maximum solar heat gain from direct solar radiation.  ... 
doi:10.3130/jaabe.4.563 fatcat:tcjo5mwdrjbpriluftfer76zxu

Manufacturability of AlSi10Mg overhang structures fabricated by laser powder bed fusion

Quanquan Han, Heng Gu, Shwe Soe, Rossi Setchi, Franck Lacan, Jacob Hill
2018 Materials & design  
From a design perspective, small overhang features are preferable to large overhangs, especially when support removal is impractical.  ...  But the LPBF manufacture of overhang structures, also known as downward-facing surfaces, is a challenge because of the possibility of incurring distortion and dross defects.  ...  with part support' (FCWPS) overhang structures exhibited the maximum displacement.  ... 
doi:10.1016/j.matdes.2018.10.043 fatcat:wbg2c4exo5d2tdmmfmijnek3wm

Icing Condition Assessment of In-Service Glass Insulators Based on Graphical Shed Spacing and Graphical Shed Overhang

Yanpeng Hao, Jie Wei, Xiaolan Jiang, Lin Yang, Licheng Li, Junke Wang, Hao Li, Ruihai Li
2018 Energies  
Shed spacing and shed overhang of insulators are clues for evaluating the probability of ice flashover.  ...  The results show that the graphical shed overhang of insulators show evident change due to icing.  ...  The overall icing condition for an insulator string is calculated by average and maximum graphical shed spacing and graphical shed overhang.  ... 
doi:10.3390/en11020318 fatcat:3eabj7vd4zaklnouzmduajowam
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