This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1918 Excerpt: ...p-777-r w and Case 7/1., Fig. 173.--Both ends rigidly fixed in position and direction. If the length of the strut be divided into four equal parts, evidently each part is under the same end and loading conditions as in Case I., hence the collapsing load--P-k-t T" and A = TA = 4SE(tj (9) Thus the ideal strut fixed at ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1918 Excerpt: ...p-777-r w and Case 7/1., Fig. 173.--Both ends rigidly fixed in position and direction. If the length of the strut be divided into four equal parts, evidently each part is under the same end and loading conditions as in Case I., hence the collapsing load--P-k-t T" and A = TA = 4SE(tj (9) Thus the ideal strut fixed at both ends is four times as strong as one freely hinged at both ends. These two are the most important cases. Case IV., Fig. 174.--One end O rigidly fixed, and the other R hinged without friction, i.e. free to take any angular position, but not to move laterally. Evidently, if bending takes place, some horizontal force F at the hinge will be called into play, since lateral movement is prevented there. Take O as origin. The bending moment at Q', reckoning positive those moments which tend to produce convexity towards OR, is F(7-)-P.y, hence--Eig =;-)-p., S+n" " E-i'- the solution of which is--y = B cos xsj+ C sin xJ + (/-x). (10) Finding the constants as before--F F, y = o for = o gives o = B-f o + I and B =--for all values of x. And putting y = o for = /--hence either F = o, in which case there is no bending, or--tanVS=VS /P an equation in lJ gy, which may be easily solved by a table giving the values of tangents and of angles in radians. The solution for which P is least (other than P = o) is approximately--lJ = 45 radians EI from which P = 2oJy (11) and A-j = "JE(;/ () By substituting the known values of y in the original equation, and equating to zero, we find approximately 4"5 = tan y, which is satisfied by x = I or = 030/, i.e. the point of inflection I (Fig. 174) is C30/ from o and 070/ (approximately) from R, 035 of the length being under conditions similar to Case I. The ultimat...
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Add this copy of Theory of Structure to cart. $12.77, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published by Longmans Green and Co.
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Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. Dust Jacket in fair condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 1000grams, ISBN:
