1192 THE COLLIERY GUARDIAN. Mat 29, 1914. further warned the workmen that “ if the experience of the business world should unhappily demonstrate that unionism is symbolical of tyranny and treachery, the position of the workmen will become hard indeed.” These sentiments are reiterated by Mr. Samuel Price, the Royal Commissioner who enquired into the later strike, on behalf of the Government. It should not be forgotten that attempts were successfully made to engage the active sympathies of the British miner in what has plainly been shown to be a high-handed cabal of the American union. All of which proves how easy a dupe is the working man in his collective capacity. How many of those who habitu- all3’ use the term " factor of actor Of safety ” clearly understand its Safety. . J . . meaning? In mining operations there are innumerable occasions when ropes or machinery are subjected to severe and unusual strains, and a blind confidence in “ factors of safety ” may often prompt men to take risks which would otherwise be rigorously shunned. Let us, then, devote a column to the consideration of what is the real significance of the expression, “ factor of safety,” which, like the blessed word Mesopotamia, imparts so mystical a sense of comfortable assurance to the user. Some weeks back Mr. C. E. Stromeyer read before the Staffordshire Iron and Steel Institute a paper upon this subject, and his remarks are well worthy of serious consideration by everyone who employs mechanical aids to work. He points out that the expression, “ factor of safety,” was originally introduced for the purpose of inspiring confidence. It is generally understood that a machine or appliance such as, for example, a haulage rope or a bridle chain, with a factor of safety of say five, had been tested to five times the maximum stress for which it was designed, and in this general sense the term implies a margin of safety which seems to be an efficient safeguard even against occasional overloading. On the Continent it is more usual to employ the expression " permissible working load,” or some such term, instead of “ factor of safety,” and there is much to be said in favour of this practice. The factor of safety in its relation to winding ropes has recently been widely discussed in the German technical Press, one of the main points raised being the influence of depth, and, conse- quently, of the increased weight of the rope itself upon the normal factor of safety. Col. Blackett alluded to the same subject when the general regulations were before Lord Mersey. The regu- lations provide that the strength of cappings, in the case of haulage ropes, shall be based upon the ultimate strength of the rope, whereas the owners contended that the guiding factor should be the maximum load, as in the case of winding ropes. The distinction is subtle, but not immaterial. The term "permissible working load” possesses the advantage that a definite limit of safety is guaranteed by the manufacturer’s tests. " Factor of safety ” virtually means nothing at all. It is a figure obtained in part by laboratory tests, in part by mathematical calculation based upon assured knowledge which is frequently wide of the truth. As Mr. Stromeyer says, " the mathe- matical formulae used by engineers are of the crudest, and do not correctly determine the actual stresses produced by external forces.” It is generally assumed that the factor of safety in, for example, a piece of metal, is the ratio of ultimate stress to elastic limit. Thus if the ultimate break- ing stress is 20 tons, and the elastic limit- is four tons, we say that the factor of safety is five. But it is not by any means an easy matter to deter- mine either of these figures with accuracy. The utmost that can be done is to take the mean of a number of tests often widely divergent. Mr. Stromeyer, indeed, goes so far as to say that in certain cases the figure called " factor of safety ” is made up of 50 per cent, of mathematical con- venience and 58 per cent, of ignorance as to the true value of the elastic limit. The truth is that the elastic limit is a somewhat inconstant quan- tity. As we now know from the results of fatigue experiments, the elastic limit is reduced by repeated stress, and this is a consideration which possibly assumes great importance in con- nection with such appliances as wire ropes. Then we have the influence of the law of pro- bability. . There are innumerable small causes which may influence elastic limit one way or the other to a slight degree. These may generally tend to neutralise each other, but under certain conditions they may be cumulative. Thus if there are 10 of these minute influences at work, each capable of influencing the elastic limit either positively or negatively to a slight extent, say one ton, this will give 210 or 1,024 possible combina- tions of chances, giving a total range of 10 tons in the break down point, and there is one chance in 1,024 that all the influences will be adverse. Similiarly we may calculate other chances, with the result that there is always a possible ’ error, and also a probable average error, in the experi- mental determinations upon which the ‘‘ factor of safety ” figure is based. Let us take another case of the greatest impor- tance in mining operations, viz., the difference between static and dynamic stress, that is, between dead loads and live loads. In the text- books it is usually shown that a load which is applied suddenly results in a stress which is twice as great as that which a gradually increasing load will produce. Mr. Stromeyer believes that this is not true in all cases, and that suddenly applied loads often produce a much greater stress than double the static effect. We are here apparently in a state of profound ignorance, and have been too ready to deduce a general law from insufficient data. This question came recently into promin- ence in Mr. W. Walker’s report on an accident at Bufford Colliery, due to the failure of a spring- hook under a sudden jerk. The factor of safety as shown by testing was about 4-3, and it was admitted to have been insufficient under the cir- cumstances of dynamic stress. It was, in fact, recommended in this report that 10 should be a minimum factor of safety in connection with all ropes, chains, hooks, etc., used in such work as sinking operations. Even this margin is quite uncertain when questions of momentum have to be considered. Very similar conditions prevail in connection with the strength of winding ropes and more particularly of cage cappings. Breaking strains in such cases, as found by testing under a gradually increasing load, give but little informa- tion as to the results of a violent jerk, such as may readily be experienced in practical use. The above examples go to show how mythical the "factor of safety” figure may be. Permis- sible safe load would seem to be a far more trust- worthy guide in practice; but even in this case the term has only a limited application on account of changes due to the ageing of materials in use. A steel rope may start from the factory with a high breaking limit, but this becomes continually lower in use, partly as a result of continued and repeated stresses inducing fatigue, partly by reason of deterioration of the material. The latter factor is especially serious in the case of certain metals and alloys entering now somewhat largely into the construction of machinery of all kinds. Mr. Stromeyer remarks that the risk of ageing is so great that some engineers are becoming shy of . using certain nickel-steel alloys and some brasses •and bronzes, because these sometimes become absolutely rotten after a time, even although they may be perfectly satisfactory when new. There is much yet that remains to be investigated in the mysterious diseases to which some metals seem to be liable. Although we have called attention to some of the defects that may vitiate ‘ ‘ factor of safety calculations, and to the uncertainty in which this term is often involved, it is not to be concluded that no value at all is to be placed upon such figures. Engineers have, of course, long known what degree of faith should be placed in values so computed. The danger arises from those who take "factor of safety” too seriously, and are thereby led to try and get too much out of machinery, or to misuse appliances, and especially to delay necessary renewals. We have a lively recollection of travelling up a step incline in a German pit, where we were literally hanging on a rope whose appearance suggested the last stages of senile decay, and we were scarcely encouraged by the assertion of our worthy guide that a new rope was actually ready to be installed. Even in this case, however, the " factor of safety ” proved to be sufficient for the work in hand, possibly because the thousand-and-one chances computed by the laws of probability were not on this occasion all adverse. We can scarcely refrain from the belief, however, that not a few accidents arise from working too near the limiting conditions, with an insufficient margin to allow of possibilities which cannot be mathematically defined. LABOUR AND WAGES. South Wales and Monmouthshire. Speaking at Aberdare on Friday, Mr. W. Brace, M.P., president of the South Wales Federation, said that if the employers, in their contracts, did not provide for the men’s demands in regard to the Minimum Wage Act, there was a battle royal in sight. The men were determined that better wages and safety must come before dividends. Mr. T. Bichards, M.P., secretary of the Federation, declared at Varteg on Friday, that the old sliding scale was ineffectual, the Conciliation Board was fast becoming obsolete, and a better scheme would have to be devised. Upon the question of amalgamating the enginemen's and stokers’ organisation with the Miners’ Federation, the executive council of the former have ordered yet another ballot of the members. Cardiff coal trimmers will take a holiday on Whit-Tuesday. Alleging that gas had accumulated in the workings, about 800 men refused on Tuesday to descend the No. 3 South Griffin Colliery, Blaina. A special meeting of the Western Valley miners was held at Abertillery on Monday, when the Celynen men applied for leave to tender notice, upon the ground of victimisation. Approval was given, and the matter now goes to the federa- tion executive. North of England. The latest published minutes of the joint committee meet- ing of the Northumberland miners and coal owners state that Mr. Edward Shortt, K.C., M.P., has been elected chairman for the ensuing 12 months. Contrary to expectation, the Northumberland Miners’ Association Council held a 5th session on Thursday of last week, when that portion of the agenda which they had previously decided to deal with six months hence was dis- cussed. The following resolution from Ashington was defeated by 54 votes to 15 “ That our association repre- sentatives ’meet the Coal Owners’ Association representatives with a view of getting an allowance (such to be shown separately on the pay checks) instead of colliery houses.” A rather drastic resolution from New Delavel that “ we again ask the owners for the restoration of the short shifts obtained by the night workers prior to the passing of the Eight Hours Act; and should our request be refused we ballot our,mem- bers on a stoppage of work to enforce our demands,” was defeated by 35 votes to 20, the council agreeing that the shifts should be restored, but opposing balloting on the ques- tion of a strike, as the funds of the association were not large enough to support a strike of the members. By 42 votes to 21 the council recommended that the association retain their scholarships at Buskin College, Oxford, Ashing- ton’s resolution that they be transferred to the Central Labour College, London, being lost. Old Delavel moved the following resolution, which was unanimously carried :— “ That we seek to- obtain much better arrangements for heating and ventilation of heapsteads and screens, and other matters adding to the comfort of the surface workers, notably eating houses, commonly called ‘ bait cabins.’ ” The Blucher Pit resolution, “ that we endeavour to get inserted in the Coal Mines Act a clause to restrict shot firing opera- tions to night time, or some time when there is least number of workers underground,” was carried by a substantial majority. The county will vote upon the resolutions after recommendations of the council have been published. The dispute with the miners in the Slatey seam at the Alice Colliery, in Dearham, has been settled with the owners. The managers finally agreed to continue the work- ing of the seam, providing the men accepted a reduction of 2d. per ton if not trailing 50 yds., and Id. per ton if trailing 50 yds. A penny per ton to be returned to those suffering a reduction of 2d. as the trail increased to 50 yds. The miners agreed to accept the terms, and -work is proceeding. A resolution, pledging themselves to support, financially and morally, the Ellington miners in the attitude they have taken up on the question of fines, has been passed by men employed at Ashington, Woodhorn, Linton, and Ellington collieries, Northumberland. Federated Area. Mr. William Johnson, M.P., general secretary, addressed a well-attended meeting of the Birch Coppice Lodge of the Warwickshire Miners’ Association at the Central Schools, Polesworth, on Sunday. He said negotiations for increasing the wages of surfacemen who manipulated coal had come to splitting a penny. He believed they would settle it on Thursday. It would mean 3d. to 6d. a day advance, and it was to come into operation on June 1. The advance would be for the members of the Warwickshire Miners’ Associa- tion only. Alluding- to the North Warwickshire Miners’ Association, Mr. Johnson urged the men not to be led away when they were told that men were joining by hundreds. The executive, committee of the Yorkshire Miners’ Asso- ciation on Tuesday concluded a two-days’ meeting. It was