US3094812A - Precast unit for forming a hyperbolic paraboloidal roof structure - Google Patents

Precast unit for forming a hyperbolic paraboloidal roof structure Download PDF

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US3094812A
US3094812A US821890A US82189059A US3094812A US 3094812 A US3094812 A US 3094812A US 821890 A US821890 A US 821890A US 82189059 A US82189059 A US 82189059A US 3094812 A US3094812 A US 3094812A
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roof structure
slab
ribs
longitudinal
elements
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Lawrence F Peeler
Foy Eugene L La
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    • EFIXED CONSTRUCTIONS
    • E04BUILDING
    • E04BGENERAL BUILDING CONSTRUCTIONS; WALLS, e.g. PARTITIONS; ROOFS; FLOORS; CEILINGS; INSULATION OR OTHER PROTECTION OF BUILDINGS
    • E04B7/00Roofs; Roof construction with regard to insulation
    • E04B7/08Vaulted roofs
    • E04B7/10Shell structures, e.g. of hyperbolic-parabolic shape; Grid-like formations acting as shell structures; Folded structures
    • E04B7/102Shell structures

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  • the principal object of this invention is to provide a shell roof structure comprising a plurality of shaped elements, of hollow, ribbed construction, each of such elements having a top and substantially parallel side and end wal1s,.the several elements being twisted or Warped so that when arrangedV side by side they collectively form a. structural shape corresponding to the shape of the roof, such ⁇ elements having bores formed therein parallel to the side and end walls for engagement by rods or cables whereby the elements are ⁇ connected to form the roof.
  • Another object of the invention is to provide a prefabricated rooting element of the type ydescribed which advantageously may be formed of reinforced concrete, metal, plastic materials, or other suitable moldable materials capable of being produced in mass, or an assembly line basis, and which is capable of being employed, in combination with like elements to produce roofs of various sizes and shapes.
  • Another object of the invention is to provide a roof structure of the type ldescribed which is capable of being manufactured and ereceted economically, and which at the same time is entirely practical and serviceable as well as safe and dependable, and which is characterized by its light Weight, strength and durability whereby it may be used indefinitely without need for repairs or replacement.
  • FIGURE 1 is a top plan view of a rooting element embodying the invention
  • FIGURE 2 is a side elevational view of the roofing element shown in FIGURE l;
  • FIGURE 3 is a sectional elevational view taken on the lines 3-3 of FIGURE 2;
  • FIGURE 4 is a sectional elevational view taken on the lines 4--4 of FIGURE 2;
  • FIGURE 5 is a sectional elevational view taken on the lines 5-5 of FIGURE 2;
  • FIGURE 6 is an elevational View of a plurality of rooting elements, as shown in FIGURES 1 to 5, connected in side by side relation to each other to forrn a roof structure;
  • FIGURE 7 is a fragmentary perspective view of a roof structure as shown in FIGURE 6;
  • FIGURE 8 is a perspective View of the roofing element shown in FIGURES 1 to 5;
  • FIGURE 9 is a sectional elevational View taken on the lines 9- ⁇ 9 of FIGURE 8;
  • FIGURE lO is a sectional elevational view taken on the lines 10-10 of FIGURE 8;
  • FIGURE 11 is a sectional elevational view taken on the lines 11-11 of FIGURE 8;
  • FIGURE l2 is a top plan View of anumbrella type roof structure having incorporated therein rooting elements as shown in FIGURES 1 to 11;
  • FIGURE 13 is a perspective view of the roof structure shown in FIGURE 12;
  • FIGURE 14 is a top plan View of a roong element or tile similar to that shown in FIGURES 1 to 1l which is substantially square;
  • FIGURE 15 is a side view of the roofing element or tile shown in FIGURE 14.
  • tFIGURES 16 and 17 are top plan views of roong elements or tiles each having two parallel sides which -are longer than the other two sides but which arersubstantially shorter, relative to the other two sides, than the corresponding sides of the element shown in FIGURES 1 to 11.
  • the numeral 1 designates generally a roofing element or tile which may be formed of reinforced concrete, for example.
  • the rooting element 1 is of hollow, ribbed construction, and has a top 2 and substantially parallel side walls 3 and end walls 4.
  • the several elements 1 which comprise a roof structure are twisted or warped so that when arranged side by side they collectively form a structural shape corresponding to the shape of the roof.
  • the elements 1 are reinforced by a plurality of longitudinally spaced transverse ribs 5, and have bores 6 and 7 formed therein parallel to the side walls 3 and the end walls 4, respectively, vfor engagement by rods or cables 8 having nuts 9 applied to the ends thereof whereby the elements 1 are connected to ⁇ form a roof structure.
  • the bores 6 preferably extend through the side walls 3, While the bores 7 extend through the end walls 4 and the transverse ribs 5.
  • the elements 1, shown in FIG- URES 3 to 5 and 8 to 10 be formed, Iif desired, either in a solid unit without recesses between the transverse 5, or with one or more longitudinal cells or passages extending the full length of these members, and such cells or passages may be round or angular as desired. Such an arrangement will lessen the weight of the element and minimize the amount of material required in their formation.
  • the elements 1 each have .a plurality of longitudinally spaced keys 10 formed on one of the sides 3 thereof for engagement with corresponding recesses 11 which tare formed in the adjacent side 3 of an adjoining element 1 whereby :the elements 1 are capable of being readily aligned with each other in assembling them to form a roof structure.
  • the keys 10 are designed Ito withstand :the stress applied thereto, and their form, as well as that of the recesses 11, may be varied as desired.
  • the umbrella ltype roof structure shown Iin FIGURES 12 and 13, which is supported upon a central post 12, comprises four corner sections, indicated generally by the numerals 13, each comprising a plurality of elements 1 which are connected .in side by side relation to e-ach other.
  • Each of the corner sections 13 is connected lto the adjoining corner sections 13 by the rods or cables 8.
  • roofing elements 1 are shown lwhich -dier from the elements 1 shown in FIGURES 1 to 13 primarily in dimension.
  • the transverse ribs have been omitted, and keys 10 and recesses 11 have been provided on the ends thereof ⁇ as well ⁇ as son the sides.
  • These members are square or rectangular in shape but having the d-istored form of the longer elements illustrated in FIGURES 8 to 11.
  • a structural unit adapted for multiple install-ation to form ⁇ a-ljiyperbolic paraboloidal roof structure comprising, a precast elongated concrete slab having longitudinal -ribs formed on its underside and along each edge Iand dependingtherefrom .in parallel planes, lateral ribs formed at spaced intervals between said longitudinal ribs, reenforcing rods arranged coextensively of each of said longitudinal ribs, the said slab having a plurality of bores formed transversely lof said 'slab through each of said lateral ribs adapted to receive rods therethrough to connect a-plurality of said slab in juxtaposition in a unitary roof structure, the said slab having a longitudinal Itwist whereby, when joined with similarly formed slabs, a hyperbolic pfaraboloidal roof structure is formed.
  • a hyperbolic paraboloidal roof structure comprising, ya plurality of precast reenforced concrete units, each having greater length'than width and warped longitudinally whereby the planar surfaces of each assume -a gradual twist, each of said units having a rib Iformed on each longitudinal edge and depending therefrom in parallel planes, spaced transverse ribs connecting said longitudinal ribs and having bores ltherethrough traversing said unit, rods arranged through the said bores joining and supporting a plurality of said units in an integral roof structure, and interlocking means formed in the edges of each of said units cooperating with said rods in supporting said joined units.
  • a structural unit adapted for multiple installation to form a hyperbolic paraboloidal roof structure comprising, a precast concrete slab of vsubstantially greater length than width ⁇ and having parallel longitudinal edges -and planar surfaces, the vSaid slab having 1a longitudinal twist along its planar surfaces, ribs formed along each longitudinal edge of said slab Iand depending therefrom in parallel planes, 'a reenforcing rod arranged coextensively through each of said longitudinal ribs, ⁇ a series of spaced lateral ribs formed on the underside of said slab and connecting said longitudinal ribs, each having a plurali-ty of bores formed ⁇ longitudinally thereof and opening through said longitudinal ribs adapted to receive rods 'for connecting -a plurality of said slabs in longitudinal juxtaposition in a roof structure.
  • a precast concrete unit for forming a hyperbolic paraboloidal roof struc-ture comprising, a slab having greater Ilength than width rand formed with ribs depending ⁇ in parallel planes from .the longitudinal edges thereof, ⁇ a reenforcing rod embedded longitudinally in each of said ribs and extending beyond the ends thereof, a plurality of spaced ribs formed transversely of said slab between said longitudinal lribs, each having a plurality of bores therethrough adapted to receive la cable for connecting ⁇ a plurality of said slab in juxtaposed relation in -a roof structure, the said slab being twisted 1along its longitudinal axis.

Description

June 25, 1963 F. PEELER ET AL 3,094,812
PRECAST UNIT FOR FORMING A HYPERBOLIC PARABOLOIDAL ROOF STRUCTURE Filed June 22, 1959 3 Sheets-Sheet 1 Lawrence F Peeler Eugene L. Lo Fo INVE roRs ATTORNEY June 25, 1963 PRECAST UNIT FOR FORMING A HYPERBOLIC PARABOLOIDAL ROOF STRUCTURE Filed June 22, 1959 3 Sheets-Sheet 2 L FPEELER ETAL 3,094,812
Lawrence E Peeler Eugene L. Lo Fo 1N ENToRs BY @Kv/WC ATTORNEY June 25, 1963 .."r. PEEL-ER Erm.
PRECSTA UNIT FOR FORMING A HYPERBOLIC FRABOLOIDAL ROOF STRUCTURE Filed June 22, 1959 5 Sheets-Sheet 3 INVENToRs Lawrence F. Peeler Eugene L Lc| Foy ATTORNEY United States Patent O 3,094,812 PRECAST UNIT FOR FORMING A HYPERBOLIC PARABOLOIDAL ROOF STRUCTURE Lawrence F. Pceler and Eugene L. La Foy, both of 4655 N. Central Expressway, Dallas 5, Tex. Filed June 22, 1959, Ser. No. `821,890 4 Claims. (Cl. Sil-52) This invention relates to reinforced concrete shell roof construction, and it concerns more particularly relatively thin reinforced concrete roofs of the hyperbolic paraboloidal shell type having structural shapes which are obtained by association of Warped parallelograms.
By use of various types of reinforced concrete shell roofs, which are` well known, it is possible to construct buildings which are characterized by comparatively large amounts of unobstructed space, free of supporting columns and beams, the roof structure being supported by a relatively small number of columns. Such roof structures Ordinar-ily are maintained by reinforcing under tension throughout, and the concrete may be compressed or prestressed, by means of tie rods or cables, the imposed stress `being sufcient to compensate for the dead Weight of the structure and the loads superimposed thereon.
The principal object of this invention is to provide a shell roof structure comprising a plurality of shaped elements, of hollow, ribbed construction, each of such elements having a top and substantially parallel side and end wal1s,.the several elements being twisted or Warped so that when arrangedV side by side they collectively form a. structural shape corresponding to the shape of the roof, such` elements having bores formed therein parallel to the side and end walls for engagement by rods or cables whereby the elements are `connected to form the roof.
Another object of the invention is to provide a prefabricated rooting element of the type ydescribed which advantageously may be formed of reinforced concrete, metal, plastic materials, or other suitable moldable materials capable of being produced in mass, or an assembly line basis, and which is capable of being employed, in combination with like elements to produce roofs of various sizes and shapes.
Another object of the invention is to provide a roof structure of the type ldescribed which is capable of being manufactured and ereceted economically, and which at the same time is entirely practical and serviceable as well as safe and dependable, and which is characterized by its light Weight, strength and durability whereby it may be used indefinitely without need for repairs or replacement.
The invention will be readily understood by referring to the following description and the accompanying ldrawing, which:
FIGURE 1 is a top plan view of a rooting element embodying the invention;
FIGURE 2 is a side elevational view of the roofing element shown in FIGURE l;
-FIGURE 3 is a sectional elevational view taken on the lines 3-3 of FIGURE 2;
FIGURE 4 is a sectional elevational view taken on the lines 4--4 of FIGURE 2;
FIGURE 5 is a sectional elevational view taken on the lines 5-5 of FIGURE 2;
FIGURE 6 is an elevational View of a plurality of rooting elements, as shown in FIGURES 1 to 5, connected in side by side relation to each other to forrn a roof structure;
FIGURE 7 is a fragmentary perspective view of a roof structure as shown in FIGURE 6;
FIGURE 8 is a perspective View of the roofing element shown in FIGURES 1 to 5;
FIGURE 9 is a sectional elevational View taken on the lines 9-`9 of FIGURE 8;
"ice
FIGURE lO is a sectional elevational view taken on the lines 10-10 of FIGURE 8;
FIGURE 11 is a sectional elevational view taken on the lines 11-11 of FIGURE 8;
-FIGURE l2 is a top plan View of anumbrella type roof structure having incorporated therein rooting elements as shown in FIGURES 1 to 11;
FIGURE 13 is a perspective view of the roof structure shown in FIGURE 12;
FIGURE 14 is a top plan View of a roong element or tile similar to that shown in FIGURES 1 to 1l which is substantially square;
.FIGURE 15 is a side view of the roofing element or tile shown in FIGURE 14; and
tFIGURES 16 and 17 are top plan views of roong elements or tiles each having two parallel sides which -are longer than the other two sides but which arersubstantially shorter, relative to the other two sides, than the corresponding sides of the element shown in FIGURES 1 to 11.
Referring to FIGURES 1 to 1l of the drawing, the numeral 1 designates generally a roofing element or tile which may be formed of reinforced concrete, for example. The rooting element 1 is of hollow, ribbed construction, and has a top 2 and substantially parallel side walls 3 and end walls 4. As shown -best in FIGURES 6 and 7, the several elements 1 which comprise a roof structure are twisted or warped so that when arranged side by side they collectively form a structural shape corresponding to the shape of the roof.
The elements 1 are reinforced by a plurality of longitudinally spaced transverse ribs 5, and have bores 6 and 7 formed therein parallel to the side walls 3 and the end walls 4, respectively, vfor engagement by rods or cables 8 having nuts 9 applied to the ends thereof whereby the elements 1 are connected to `form a roof structure. The bores 6 preferably extend through the side walls 3, While the bores 7 extend through the end walls 4 and the transverse ribs 5.
It is contemplated that the elements 1, shown in FIG- URES 3 to 5 and 8 to 10 be formed, Iif desired, either in a solid unit without recesses between the transverse 5, or with one or more longitudinal cells or passages extending the full length of these members, and such cells or passages may be round or angular as desired. Such an arrangement will lessen the weight of the element and minimize the amount of material required in their formation.
The elements 1 each have .a plurality of longitudinally spaced keys 10 formed on one of the sides 3 thereof for engagement with corresponding recesses 11 which tare formed in the adjacent side 3 of an adjoining element 1 whereby :the elements 1 are capable of being readily aligned with each other in assembling them to form a roof structure. The keys 10 are designed Ito withstand :the stress applied thereto, and their form, as well as that of the recesses 11, may be varied as desired.
The umbrella ltype roof structure shown Iin FIGURES 12 and 13, which is supported upon a central post 12, comprises four corner sections, indicated generally by the numerals 13, each comprising a plurality of elements 1 which are connected .in side by side relation to e-ach other. The several elements 1 comprising the respective corner sections 13 'collectively form a roof structure which is curved inwardly and downwardly toward the center. Each of the corner sections 13 is connected lto the adjoining corner sections 13 by the rods or cables 8.
Referring to FIGURES 14 to 17, roofing elements 1 are shown lwhich -dier from the elements 1 shown in FIGURES 1 to 13 primarily in dimension. In the elements 1 shown in FIGURES 14 to 17 the transverse ribs have been omitted, and keys 10 and recesses 11 have been provided on the ends thereof `as well `as son the sides. These members are square or rectangular in shape but having the d-istored form of the longer elements illustrated in FIGURES 8 to 11.
The invention may be modified in various ways Without departing from the spirit and scope thereof.
What is claimed is:
k1. A structural unit adapted for multiple install-ation to form `a-ljiyperbolic paraboloidal roof structure, comprising, a precast elongated concrete slab having longitudinal -ribs formed on its underside and along each edge Iand dependingtherefrom .in parallel planes, lateral ribs formed at spaced intervals between said longitudinal ribs, reenforcing rods arranged coextensively of each of said longitudinal ribs, the said slab having a plurality of bores formed transversely lof said 'slab through each of said lateral ribs adapted to receive rods therethrough to connect a-plurality of said slab in juxtaposition in a unitary roof structure, the said slab having a longitudinal Itwist whereby, when joined with similarly formed slabs, a hyperbolic pfaraboloidal roof structure is formed.
2. Ina hyperbolic paraboloidal roof structure, comprising, ya plurality of precast reenforced concrete units, each having greater length'than width and warped longitudinally whereby the planar surfaces of each assume -a gradual twist, each of said units having a rib Iformed on each longitudinal edge and depending therefrom in parallel planes, spaced transverse ribs connecting said longitudinal ribs and having bores ltherethrough traversing said unit, rods arranged through the said bores joining and supporting a plurality of said units in an integral roof structure, and interlocking means formed in the edges of each of said units cooperating with said rods in supporting said joined units.
y3. A structural unit adapted for multiple installation to form a hyperbolic paraboloidal roof structure, comprising, a precast concrete slab of vsubstantially greater length than width `and having parallel longitudinal edges -and planar surfaces, the vSaid slab having 1a longitudinal twist along its planar surfaces, ribs formed along each longitudinal edge of said slab Iand depending therefrom in parallel planes, 'a reenforcing rod arranged coextensively through each of said longitudinal ribs, `a series of spaced lateral ribs formed on the underside of said slab and connecting said longitudinal ribs, each having a plurali-ty of bores formed `longitudinally thereof and opening through said longitudinal ribs adapted to receive rods 'for connecting -a plurality of said slabs in longitudinal juxtaposition in a roof structure.
4. A precast concrete unit for forming a hyperbolic paraboloidal roof struc-ture, comprising, a slab having greater Ilength than width rand formed with ribs depending `in parallel planes from .the longitudinal edges thereof, `a reenforcing rod embedded longitudinally in each of said ribs and extending beyond the ends thereof, a plurality of spaced ribs formed transversely of said slab between said longitudinal lribs, each having a plurality of bores therethrough adapted to receive la cable for connecting `a plurality of said slab in juxtaposed relation in -a roof structure, the said slab being twisted 1along its longitudinal axis.
References Cited in the file of this patent UNITED STATES PATENTS 1,231,998 Bumann July 3, 1917 v2,891,491 Richter June 23, 1959 FOREIGN PATENTS 151,113 Great Britain Sept. 23, 1920 450,290 Italy July 12, 1949 450,640 Italy 1949 641,535 Great Britain 1950 1,002,262 France Oct. 31, 1951

Claims (1)

  1. 4. A PRECAST CONCRETE UNIT FOR FORMING A HYPERBOLIC PARABOLOIDAL ROOF STRUCTURE, COMPRISING, A SLAB HAVING GREATER LENGTH THAN WIDTH AND FORMED WITH RIBS DEPENDING IN PARALLEL PLANES FROM THE LONGITUDINAL EDGES THEREOF, A REENFORCING ROD EMBEDDED LONGITUDINALLY IN EACH OF SAID RIBS AND EXTENDING BEYOND THE ENDS THEREOF, A PLURALITY OF SPACED RIBS FORMED TRANSVERSELY OF SAID SLAB BETWEEN SAID LONGITUDINAL RIBS, EACH HAVING A PLURALITY OF BORES THERETHROUGH ADAPTED TO RECEIVE A CABLE FOR CONNECTING A PLURALITY OF SAID SLAB IN JUXTAPOSED RELATION IN A ROOF STRUCTURE, THE SAID SLAB BEING TWISTED ALONG ITS LONGITUDINAL AXIS.
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Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3186128A (en) * 1960-05-18 1965-06-01 Reynolds Metals Co Hyperbolic paraboloidal construction
US3899854A (en) * 1973-05-14 1975-08-19 Jon Vredevoogd Method of erection for a pretensioned membrane structure
US3958375A (en) * 1974-04-01 1976-05-25 Tully Daniel F Prefabricated hyperbolic paraboloid roof
US3990194A (en) * 1973-05-14 1976-11-09 Tension Structures Co. Arch supported membrane structure and a method of erection that pretensions the arches and membranes
US4232495A (en) * 1977-11-03 1980-11-11 T. Y. Lin International Precast units for constructing cooling towers and the like
US4680901A (en) * 1985-11-05 1987-07-21 Genstar Structures Limited Precast concrete dome system
US20050031546A1 (en) * 2003-08-06 2005-02-10 Johannes Bartholomaus Abuse-proffed dosage form
US20080072511A1 (en) * 2006-09-21 2008-03-27 Ahmed Phuly Partially prefabricated modular foundation system
US20100225024A1 (en) * 2009-03-04 2010-09-09 Schock Bauteile Gmbh Forming device and method for creating a recess when casting a part

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1231998A (en) * 1915-12-20 1917-07-03 Unit Construction Co Train-shed.
GB151113A (en) * 1919-06-28 1920-09-23 Fredric Edward Whitham Improvements in and relating to the construction of roofs and like parts of buildings
GB641535A (en) * 1948-08-10 1950-08-16 John Goldwell Ambrose Improvements in and relating to reinforced concrete roofing units
FR1002262A (en) * 1946-08-27 1952-03-04 Method of reinforcing boundary building elements with substantially parallel single or double curvature surfaces
US2891491A (en) * 1955-05-05 1959-06-23 Don L Richter Building unit

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US1231998A (en) * 1915-12-20 1917-07-03 Unit Construction Co Train-shed.
GB151113A (en) * 1919-06-28 1920-09-23 Fredric Edward Whitham Improvements in and relating to the construction of roofs and like parts of buildings
FR1002262A (en) * 1946-08-27 1952-03-04 Method of reinforcing boundary building elements with substantially parallel single or double curvature surfaces
GB641535A (en) * 1948-08-10 1950-08-16 John Goldwell Ambrose Improvements in and relating to reinforced concrete roofing units
US2891491A (en) * 1955-05-05 1959-06-23 Don L Richter Building unit

Cited By (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3186128A (en) * 1960-05-18 1965-06-01 Reynolds Metals Co Hyperbolic paraboloidal construction
US3899854A (en) * 1973-05-14 1975-08-19 Jon Vredevoogd Method of erection for a pretensioned membrane structure
US3990194A (en) * 1973-05-14 1976-11-09 Tension Structures Co. Arch supported membrane structure and a method of erection that pretensions the arches and membranes
US3958375A (en) * 1974-04-01 1976-05-25 Tully Daniel F Prefabricated hyperbolic paraboloid roof
US4232495A (en) * 1977-11-03 1980-11-11 T. Y. Lin International Precast units for constructing cooling towers and the like
US4680901A (en) * 1985-11-05 1987-07-21 Genstar Structures Limited Precast concrete dome system
US20050031546A1 (en) * 2003-08-06 2005-02-10 Johannes Bartholomaus Abuse-proffed dosage form
US20080072511A1 (en) * 2006-09-21 2008-03-27 Ahmed Phuly Partially prefabricated modular foundation system
US20100225024A1 (en) * 2009-03-04 2010-09-09 Schock Bauteile Gmbh Forming device and method for creating a recess when casting a part

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