Technical investigations: Bull.1. Trial load method of analyzing arch dams. Bull.2. Slab analogy experiments. Bull.3. Model tests of Boulder Dam. Bull.4. Stress studies for Boulder Dam. Bull.5. Penstock analysis and stiffener design. Bull.6. Model tests of arch and cantilever elements |
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Results 1-5 of 30
Page 22
... evaluated by successive trial load adjustments and readjustments after arch and canti- lever movements had been brought into radial agreement . However , tan- gential shear and twist adjustments are now being made simultaneously with ...
... evaluated by successive trial load adjustments and readjustments after arch and canti- lever movements had been brought into radial agreement . However , tan- gential shear and twist adjustments are now being made simultaneously with ...
Page 33
... evaluated . Tangential bending of cantilevers is not considered . 29. Unit Twist Loads . As in the case of radial and tangential loads , triangular unit loads are used for twist loads . Unit cantilever twist loads represent twisting ...
... evaluated . Tangential bending of cantilevers is not considered . 29. Unit Twist Loads . As in the case of radial and tangential loads , triangular unit loads are used for twist loads . Unit cantilever twist loads represent twisting ...
Page 66
... , and I may be evaluated by multiplying quantities from the curves by the denominators of the fractions at the left sides of the equations . +40 +.50 +.60 +70 +80 +90 +1.00 1.00 9 VALUES 66 TRIAL LOAD METHOD OF ANALYZING ARCH DAMS.
... , and I may be evaluated by multiplying quantities from the curves by the denominators of the fractions at the left sides of the equations . +40 +.50 +.60 +70 +80 +90 +1.00 1.00 9 VALUES 66 TRIAL LOAD METHOD OF ANALYZING ARCH DAMS.
Page 72
... evaluating radial deflections may be expressed by the formula , VK + MA A2 ) ( 59 ) LNBAr + Mara + AZAZ + ( + * + * + ΣΙ Land R in which terms designated by an asterisk apply only to the maximum cantilever or one that does not set on ...
... evaluating radial deflections may be expressed by the formula , VK + MA A2 ) ( 59 ) LNBAr + Mara + AZAZ + ( + * + * + ΣΙ Land R in which terms designated by an asterisk apply only to the maximum cantilever or one that does not set on ...
Page 74
... evaluate quantities . to be integrated , and since the angular movement of a differential height is ( M / 2GI ) Az , formulas for the left and right sides of the dam may be written as Le = MA A4 LO = M1 8 * + 2GI Az ( 62 ) Re = -MA 8 ...
... evaluate quantities . to be integrated , and since the angular movement of a differential height is ( M / 2GI ) Az , formulas for the left and right sides of the dam may be written as Le = MA A4 LO = M1 8 * + 2GI Az ( 62 ) Re = -MA 8 ...
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Common terms and phrases
analyzing angle angular movements applied arch abutment arch and cantilever arch center line arch constants arch dams arch elements arch load arch point B₁ B₂ bending bending moment Boulder Dam C₂ calculated cantilever elements center of gravity chapter circular arches concrete cos² CRACKED CANTILEVER curves D-terms D₁ deflections due deformations downstream face effects elastic elevation equations extrados fillet forces and moments formulas horizontal element horizontal plane horizontal section load constants M₂ modulus of elasticity nonsymmetrical Poisson's ratio radial deflections radial loads radial shear reservoir water Ro Raxis rotations shear stress sheet shown in figure sin² structure tangential deflections tangential shear Term 2ND Term Term IST Term thrust trial load analysis trial load method triangular loads trigonometric functions twist adjustment twist loads twisting moments uniform thickness UNIT ELEMENT unit loads unit radial upstream face values variable thickness arch voussoir ΕΙ ΦΑ Φι
Popular passages
Page 19 - The general effect of considering twist action is a decrease1 in radial deflections at practically all locations, a decrease in maximum arch stress, a decrease in cantilever stress at the downstream face of the dam, and an increase in cantilever stress at the upstream face of the dam.
Page 19 - ... changes in vertical sections cause negligible horizontal movements. Increases in temperature in the arch elements work against the water load and were neglected except for the case of minimum water level. Decreases in temperature in the arch elements work with the load and were included in the analysis. The maximum probable decrease in temperature below the temperature existing at the time of grouting the joints is the change which was included in the stress analysis. The vertical joints were...
Page 198 - Thus the maximum shearing stress acts on the plane bisecting the angle between the largest and smallest principal stresses and is equal to half the difference between these principal stresses. If we compute the normal stresses on these planes and designate them by...
Page 13 - ... each horizontal element ; and that the true division of load is the one which causes equal arch and cantilever deflections at all points in all arches and cantilevers, instead of at the crown cantilever only. Furthermore, the...
Page 142 - A nonsymmetrieal areh of uniform thiekness is eneountered only if it is desirable to have the erown of the arch coincide with the maximum cantilever section, or if abutment yielding conditions are different on the two sides of the canyon. Otherwise the crown is placed at the middle and the arch is analyzed as symmetrical. A nonsymmetrical arch will obviously have nonsymmetrical loads, requiring separate calculation of loads on both sides of the arch. The general computation forms with no omissions...
Page 141 - The advantage of this operation is that one set of arch constants can be used for the computation of these loads and the nonsymmetrical loads. In using computation forms for the analysis of nonsymmetrical triangular and concentrated loads on symmetrical arches, many computations are omitted. These are briefly listed as follows : Sheet 1. — All arch constants, trigonometric functions, coordinates, and abutment movement functions for the right side of the arch, because they are the same as on the...
Page 19 - The general result of considering tangential shear in trial load analyses is a decrease in radial deflections near the crown section, an increase in radial deflections near the abutments, and a slight increase in arch stresses at the abutments without appreciable stress changes at the crown. The importance of tangential shear effects varies primarily with the ratio of length of dam to height.
Page 29 - Water Pressures on Dams During Earthquakes," Trans. Am. Soc. CE, vol. 98, 1933, pp. 418-472.
Page 115 - The contribution of a voussoir to an arch constant at a point is the product of the multiplier for that voussoir, in terms of...