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. 1920 Excerpt: ... or clamped as to constrain the direction of the strut at that point, as in the case of the ends of a built-in or encastre' beam, while a free end means one which by being rounded or pivoted or hinged is free to take up any angular position due to bending of the strut. If the collapsing load for a strut with one kind ...
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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. 1920 Excerpt: ... or clamped as to constrain the direction of the strut at that point, as in the case of the ends of a built-in or encastre' beam, while a free end means one which by being rounded or pivoted or hinged is free to take up any angular position due to bending of the strut. If the collapsing load for a strut with one kind of end support is found, the corresponding loads for other conditions may be deduced from it. Case I., Fig. 171.--Notation as in the figure. One end O fixed, and the other end, initially at R, free to move laterally and to take up any angular position. Taking the fixed end O as origin, measuring x along the initial position of the strut OR, and bending deflections y perpendicular to OR, the bending moment at Q' is P(z--y) if the moment is reckoned positive for convexity towards the initial position OR; then, neglecting any effects of direct compression and using the relations for ordinary transverse bending, the curvature--M P(a-y) dy, . t.. A_. gj =--g" = (approximately, as in Art. 93) where I is the least moment of inertia of the cross-section, which is assumed to be the same throughout the length--The solution to this well-known differential equation is 1--= - + Bcos, y/'-+ Csin s/.x.. (2) where B and C are constants of integration which may be found from the end conditions. When x = o, y = o, hence--o = a + B + o or B =--a dy And when x = o, = o, hence, differentiating (2)--d =V Ur B sin V i + c cos if) and o = JJj(-0 + C) hence C = o and (2) becomes--y = a(i-cos x/ ) (2a) This represents the deflection to a curve of cosines or sines, and holds for all values of to x = /. In particular, at the free end x = I and y = a, hence--; /P a = a--a cos lJ or, --a cos // EI = 0 From this it follows that either a = o or the cosine is zero....
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Seller's Description:
Poor. Some fading to the cover, the edges are a little tatty and scuffed. Signature to the inside cover, remainder mark to the inside page. Fine to read throughout, with some inscriptions. Probably best as a reference copy. 630 p. D.
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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 fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 1100grams, ISBN:
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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. Clean from markings. In poor condition, suitable as a reading copy. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 900grams, ISBN:
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.