Long structural member and structural member complex using same
11299888 · 2022-04-12
Assignee
Inventors
Cpc classification
B62D25/00
PERFORMING OPERATIONS; TRANSPORTING
B62D29/04
PERFORMING OPERATIONS; TRANSPORTING
International classification
E04C3/28
FIXED CONSTRUCTIONS
B62D29/04
PERFORMING OPERATIONS; TRANSPORTING
Abstract
A long structural member and a structural member complex that contain a fiber-reinforced resin having a simple reinforced structure, suppressing increase in molded article weight, and exhibiting high mechanical properties. The long structural member has a perpendicular cross-section formed in a U shape, has two of the corners on the inside of the U-shaped section reinforced by the fiber-reinforced resin, and has a triangular cross-section for each of the cross-sections of the two corners inside the reinforced U-shaped section.
Claims
1. A structural member complex, comprising a first structural member and a second structural member each of the first and second structural members comprise a hat channel structure with U-shaped longitudinal cross-section comprising two opposed upright faces each face having an inner surface, an outer surface, an upper end portion and a bottom end portion and each of the two opposed upright faces are connected by the bottom end portion opposite of the upper end portion wherein corners are formed at each of the intersections of the bottom end portion that connects the two upright faces, and flanges, wherein the two opposed upright faces are not connected at any portion other than at the corners formed at each intersection of the bottom end portion that connects the two upright faces, and wherein the corners inside the U-shaped portion are reinforced by fiber reinforcement resin and a cross-section of each of two corners inside the reinforced U-shaped portion is a triangular cross-section satisfying the following equations:
0.05≤W/W0≤0.15
0.15≤W/H0≤0.36, wherein W0 indicates an outer face length of a bottom face portion of the U-shaped portion of the longitudinal cross-section, W indicates an inner face length of the bottom face portion of the U-shaped portion of the inner corner of the reinforced U-shaped portion of the longitudinal cross-section, H0 indicates an outer face length of the upright face portion of the U-shaped portion of the longitudinal cross-section, H indicates an inner face length of the upright face portion of the U-shaped portion of the inner corner of the reinforced U-shaped portion of the longitudinal cross-section, wherein a closed cross-sectional shape is formed by bonding each of the end portions extending in a longitudinal direction of the first structural member to the corresponding end portion extending in a longitudinal direction of the second structural member, and wherein the flanges are projected outward.
2. The structural member complex according to claim 1, wherein a side edge facing the inside of the U-shaped portion in the cross-section of each of the two corners is linear.
3. The structural member complex according to claim 1, wherein matrix resin forming the fiber reinforcement resin is thermoplastic resin.
4. The structural member complex according to claim 1, wherein matrix resin forming the fiber reinforcement resin is thermosetting resin.
5. The structural member complex according to claim 1, wherein reinforcement fiber forming the fiber reinforcement resin is carbon fiber or glass fiber.
6. The structural member complex according to claim 1, wherein
0.06≤W/W0≤0.14
0.16≤H/H0≤0.35.
7. The structural member complex according to claim 1, wherein W0 is from 10 to 500 mm, H0 is from 5 to 300 mm, W is from 1.0 to 75 mm, and H is from 1.0 to 100 mm.
8. The structural member complex according to claim 1, which resists bending deformation.
9. The structural member complex according to claim 1, wherein the flanges are projected outward at a right angle relative to the two upright faces.
Description
BRIEF DESCRIPTION OF DRAWINGS
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MODE(S) FOR CARRYING OUT THE INVENTION
(13) Hereinafter, an embodiment of the invention will be described in detail.
(14) A fiber reinforcement resin molded article of the embodiment is a long structural member that is formed to have a U-shaped longitudinal cross-section. The elongated shape mentioned herein is a structure of which a dimension (L in
(15) Further, in the description below, the facing sides of the upright faces in the extension direction from the bottom face to the upright face in the long structural member will be referred to as the inside of the U shape and the opposite sides will be referred to as the outside in the U shape.
(16) Further, in the embodiment, it is desirable that two corners at the inside of the U-shaped portion of the long structural member be reinforced by fiber reinforcement resin and the cross-section of each of two corners at the inside of the reinforced U-shaped portion be a triangular cross-section satisfying the following equations.
0.05≤W/W0≤0.15
0.15≤H/H0≤0.36
(17) W0 indicates the outer face length of the bottom face portion of the U-shaped portion in the cross-section orthogonal to the axis of the long structural member.
(18) W indicates the inner face length of the bottom face portion of the U-shaped portion of the inner corner of the reinforced U-shaped portion in the cross-section orthogonal to the axis of the long structural member.
(19) H0 indicates the outer face length of the upright face portion of the U-shaped portion in the cross-section orthogonal to the axis of the long structural member.
(20) H indicates the inner face length of the upright face portion of the U-shaped portion of the inner corner of the reinforced U-shaped portion in the cross-section orthogonal to the axis of the long structural member.
(21) The “cross-section orthogonal to the axis” of the embodiment indicates a plane (a cross-section taken along the line A-A in
(22) In the long structural member of the embodiment, two corners located at the inside of the U-shaped portion of the structure (the corner 2 and the opposite corner in
(23) In order to ensure the reinforcement effect and to suppress an increase in molded article weight, the ratio W/W0 is desirably equal to or larger than 0.05 and equal to or smaller than 0.15 and is further desirably equal to or larger than 0.06 and equal to or smaller than 0.14. In order to ensure the reinforcement effect and to suppress an increase in molded article weight, the ratio H/H0 is desirably equal to or larger than 0.15 and equal to or smaller than 0.36 and is further desirably equal to or larger than 0.16 and equal to or smaller than 0.35. Further, as another embodiment different from the embodiment, a range of 0.05≤W/W0≤0.15 or 0.06≤W/W0≤0.14 and a range of 0.15≤H/H0≤0.36 or 0.16≤H/H0≤0.35 may be selected.
(24) A side edge facing the inside of the U-shaped portion in the cross-section of the corner 2 (a long side edge in the corner of the corner reinforcement structure) may be linear or curved (for example, a curve or circular-arc shape having a rounded portion). In the case of the curve or circular-arc shape having a rounded portion, it is desirable that a radius R be larger than W0 of 0.01 and H0 of 0.01. When the radius R is smaller than W0 of 0.01 or H0 of 0.01, an enough reinforcement effect cannot be obtained. Further, as another embodiment different from the embodiment, the radius R may be larger than W0 of 0.05 and H0 of 0.05.
(25) Further, as another embodiment different from the embodiment, it is possible to obtain a structure member having a closed cross-sectional shape by bonding both end portions extending in the longitudinal direction in two long structural members as illustrated in
(26) [Fiber Reinforcement Thermoplastic Resin Molded Article]
(27) A molded article illustrated in
(28) In the long structural member of the embodiment, since the corner reinforcement structure is provided to reinforce the inside of the corner 2 of the long structural member as illustrated in
(29) The cross-section of the corner reinforcement structure has a shape in which a position separated from the bottom face by a length H in the upright face is connected to a position separated from the upright face by a length W in the bottom face through a line as illustrated in
(30) The size of the corner reinforcement structure is determined by the width W (the inner face length of the bottom face portion of the U-shaped portion of the inner corner of the reinforced U-shaped portion in the cross-section orthogonal to the axis of the long structural member) and the height H (the inner face length of the upright face portion of the U-shaped portion of the inner corner of the reinforced U-shaped portion in the cross-section orthogonal to the axis of the long structural member) illustrated in
(31) Specifically, the values W0, H0, W, and H may be respectively, for example, 10 to 500 mm, 5 to 300 mm, 1.0 to 75, and 1.0 to 100.
(32) It is desirable that the corner reinforcement structure be continuous in the longitudinal direction in that stress concentration is not caused even when the bending deformation occurs at an arbitrary position. For example, it is desirable that the corner reinforcement structure include a portion having a size of 80 to 100% with respect to the size of the long structural member in the longitudinal direction. Further, when the values W and H in the cross-sectional shape of the corner reinforcement structure are within the above-described range, the cross-sectional shape does not need to be uniform and may be different due to a portion in the longitudinal direction. In that case, the cross-sectional shape may be continuously changed due to a portion in the longitudinal direction.
(33) In the embodiment, an angle of an outer face corner formed by the outer face of the upright face and the bottom face of the U-shaped portion in the cross-section orthogonal to the axis of the long structural member is substantially perpendicular and is allowed in the range of about 85 to 95° from the viewpoint of strength. When this angle is too large or small, the strength of the long structural member is deteriorated. Further, it is desirable to fill the reinforcement fiber resin to the outer face corner from the viewpoint of the strength of the long structural member.
(34) The long structural member of the embodiment may be a structure member having a closed cross-sectional shape formed by bonding both end portions of two long structural members extending in the longitudinal direction or a structure member having a closed cross-sectional shape formed by bonding two flange portions and/or end portions of two long structural members. This bonding method is not particularly limited, but thermal bonding, vibration bonding, or ultrasonic bonding can be exemplified. Various adhesives, various adhesive tapes, rivets, or bolts may be used for the bonding. In this way, a structure including a plurality of long structural members is called a structural member complex. Further, the structural member complex is formed by bonding the plurality of long structural members through the above-described methods, but the members formed by the combination of the plurality of long structural members may be integrally molded.
(35) The long structural member of the embodiment may be coupled (bonded) to a member other than the long structural member through flange portions and/or both end portions or the other portions. As such members, metal is generally used. Then, various adhesives, various adhesive tapes, rivets, or bolts may be used in the coupling (bonding) method.
(36) The fiber reinforcement resin can be desirably used in the long structural member of the embodiment. Since the fiber reinforcement resin has high rigidity and large breaking strength, the fiber reinforcement resin can be desirably used in the long structural member of the embodiment.
(37) As the reinforcement fiber forming the fiber reinforcement resin used in the long structural member of the embodiment, inorganic fiber, organic fiber, metallic fiber, or hybrid reinforcement fiber obtained by the combination thereof can be used although the type of reinforcement fiber is not particularly limited. As the inorganic fiber, carbon fiber, graphite fiber, silicon carbide fiber, alumina fiber, tungsten carbide fiber, boron fiber, or glass fiber can be exemplified. As the organic fiber, aramid fiber, or high-density polyethylene fiber can be exemplified. Alternatively, general nylon fiber or polyester can be exemplified. As the metallic fiber, stainless steel or iron fiber can be exemplified. Alternatively, carbon fiber coated with metal may be used. As the reinforcement fiber, carbon fiber is desirable in consideration of mechanical characteristics including strength of a final molded article among these examples. Further, an average fiber diameter of the reinforcement fiber is desirably 1 to 50 μm and further desirably 5 to 20 μm. Here, the average fiber diameter of the reinforcement fiber is a value measured by a micrometer or a microscope. It is desirable that the diameter of the reinforcement fiber be in the range of 1 to 50 μm.
(38) It is desirable that the average fiber length of the reinforcement fiber be 5 mm or more. Here, the average fiber length of the reinforcement fiber indicates a value obtained in such a manner that matrix resin is burned to extract only the reinforcement fiber and the reinforcement fiber is observed and measured by a microscope. Further, the reinforcement fiber may be measured by an image analysis such as an X-ray CT analysis. It is desirable that the length of the reinforcement fiber be 5 mm or more. The length of the reinforcement fiber is not particularly limited, but is generally equal to or smaller than the length of the long structural member due to the limitation of the length of the long structural member. It is desirable that the content of the reinforcement fiber in the reinforcement fiber resin be 5 to 80 mass % with respect to the entire mass of the reinforcement fiber resin.
(39) As the matrix resin forming the fiber reinforcement resin used in the long structural member of the embodiment, thermoplastic resin is desirable although the type of resin is not particularly limited. As such thermoplastic resin, polyamide (nylon 6 or nylon 66), polyolefin (polyethylene or polypropylene), modified polyolefin, polyester (polyethylene terephthalate or polybutylene terephthalate), polycarbonate, polyamideimide, polyphenylene oxide, polysulfone, polyether sulfone, polyether ether ketone, polyetherimide, polystyrene, ABS, polyphenylene sulfide, liquid crystal polyester, or copolymer of acrylonitrile and stylene can be used. Further, a mixture may be used as the matrix resin. As the matrix resin, copolymer nylon of nylon 6 and nylon 66 may be used. Further, flame retardant, weather resistance improver, antioxidant, heat stabilizer, ultraviolet light absorbent, plasticizer, lubricant, colorant, compatibilizer, or conductive filler may be added to the fiber reinforcement resin in response to the desired characteristics of the molded article.
(40) As the matrix resin forming the fiber reinforcement resin used in the hat channel type structure of the embodiment, thermosetting resin may be used although the type of resin is not particularly limited. As such thermosetting resin, epoxy resin, acrylic resin which is radical polymerization resin, or phenol resin can be exemplified. Further, flame retardant, weather resistance improver, antioxidant, heat stabilizer, ultraviolet light absorbent, plasticizer, lubricant, colorant, compatibilizer, or conductive filler may be added to the matrix resin in response to the desired characteristics of the molded article.
(41) The hat channel type structure of the embodiment is suitably used in, for example, an automobile component such as a front sub-frame, a rear sub-frame, a front pillar, a center pillar, a side member, a cross member, a side sill, a roof rail, or a propeller shaft, an underwater pipe, a cable core, a printing roll/pipe, a robot fork, or a primary structure member or a secondary structure member of an airplane.
(42) <Elongated Structure Forming Method>
(43) The long structural member forming method is not particularly limited, but for example a following method can be exemplified. A method is exemplified in which sheet-shaped fiber reinforcement resin including non-continuous fiber in resin or film-shaped fiber reinforcement resin including matrix resin and continuous fiber in one direction and laminated in a sheet shape is heated by an infiared heater or the like until the matrix resin is melted and is press-molded by a mold having a temperature lower than the fiber reinforcement resin melting temperature. As the mold, a mold molded according to the inner shape of the U-shaped portion of the long structural member is used. Specifically, an elongated mold having dimensions of about a width W0, a height H0, and a length equal to or larger than L and having a corner chamfered according to dimensions of a height H and a width W is used. At this time, the fiber may be disposed in the reinforced corner toward the longitudinal direction of the long structural member. The long structural member can be formed by injection-molding a pellet-shaped material. At this time, the pellet-shaped material may include non-continuous reinforcement fiber. Further, the injection-molding operation may be performed after the fiber reinforcement resin sheet having fiber disposed in the longitudinal direction of the long structural member is charged on the reinforced corner in advance. In the injection molding condition, a cylinder temperature of an injection molding machine is desirably set to a cylinder temperature equal to or larger than 10° C. and equal to or smaller than 100° C. in the fiber reinforcement resin melting temperature and a mold temperature is desirably lower than the fiber reinforcement resin solidification temperature by 10° C. to 200° C. in accordance with the type of fiber reinforcement resin.
EXAMPLES
Elongated Structure Forming Method
(44) A shape was generated on a computer by the use of ProEngineer (Wildfire 4.0) corresponding to three-dimensional CAD software.
(45) (Formation of Structure Formed by Bonding Elongated Structures)
(46) A structure member having a closed cross-section was formed by completely bonding two flange faces and/or both cross-sections of two long structural members on the CAD (
(47) (Mass Evaluation Method)
(48) Mass was calculated by the use of ProEngineer (Wildfire 4.0) corresponding to three-dimensional CAD software. At that time, a mass ratio with respect to a structure member without a rib as a reinforcement countermeasure was calculated. Then, Evaluation A was given when a mass ratio obtained by dividing the mass of the reinforced long structural member by the non-reinforced long structural member was smaller than 1.3 and Evaluation B was given in the other cases.
(49) (Evaluation of Bending Characteristic)
(50) A CAE analysis for three-point bending was performed by the use of a Mechanical function of ProEngineer (Wildfire 4.0) corresponding to three-dimensional CAD software. At that time, a three-point bending test was expressed in such a manner that the displacement and the rotation of two lines on the bottom face at a target point distance 300 mm (0.75 times L of 400 mm to be described later) were fixed and the center line of the opposite bottom face was displaced by 1 mm (
(51) As a result, Evaluation A was given when a value (a stress ratio) obtained by dividing a maximal value of the Mises stress by the structure member without the rib corresponding to a reinforcement countermeasure was equal to or smaller than 1.0 and Evaluation B was given in the other cases. In this way, a stress concentration suppression degree was evaluated. As for the displacement, a displacement value was obtained at a position of 20 mm (0.05 times L of 400 mm to be described later) from the center. Then, Evaluation A was given when a value (a displacement ratio) obtained by dividing the displacement by the displacement of the structure member without the rib corresponding to a reinforcement countermeasure is equal to or larger than 1.0 and Evaluation B was given in the other cases. In this way, a displacement concentration suppression degree at a load position was evaluated.
Example 1
(52) A long structural member (
(53) Next, a long structural member was formed to have a thickness of 2 mm, L of 400 mm, Wa of 72.4 mm, W0 of 52.4 mm, and H0 of 25 mm, a corner reinforcement (
Example 2
(54) An evaluation was performed similarly to Example 1 except that a corner reinforcement had a width W of 5 mm and a height H of 5 mm. As a result, Evaluation A was given in the mass ratio of 1.10, Evaluation A was given in the stress ratio of 0.98, and Evaluation A was given in the displacement ratio of 1.05.
Example 3
(55) An evaluation was performed similarly to Example 1 except that a corner reinforcement had a width W of 5 mm and a height H of 9 mm. As a result, Evaluation A was given in the mass ratio of 1.21, Evaluation A was given in the stress ratio of 0.99, and Evaluation A was given in the displacement ratio of 1.06.
Comparative Example 1
(56) A long structural member having a thickness of 2 mm, L of 400 mm, Wa of 72.4 mm, W0 of 52.4 mm, and H0 of 25 mm was formed by the use of CAD software and ribs each having a thickness t of 2.5 mm and a height h of 10 mm were formed at the inside thereof so that two ribs were provided in the elongated direction and eight ribs were provided at a pitch p of 54.3 mm in the orthogonal direction (
Comparative Example 2
(57) A long structural member having a thickness of 2 mm, L of 400 mm, Wa of 72.4 mm, W0 of 52.4 mm, and H0 of 25 mm was formed by the use of CAD software and ribs were formed at the inside thereof so that a thickness t was 2.5 mm, a height h was 10 mm, an angle with respect to the elongated direction was 30°, and a pitch p was 54.3 mm (
Comparative Example 3
(58) An evaluation was performed similarly to Comparative Example 2 except that a rib pitch p was 30 mm. As a result, Evaluation B was given in the mass ratio of 1.63, Evaluation A was given in the stress ratio of 0.78, and Evaluation A was given in the displacement ratio of 1.05.
Comparative Example 4
(59) An evaluation was performed similarly to Example 1 except that a corner reinforcement had a width W of 10 mm and a height H of 10 mm. As a result, Evaluation B was given in the mass ratio of 1.46, Evaluation A was given in the stress ratio of 0.39, and Evaluation A was given in the displacement ratio of 1.07.
Comparative Example 5
(60) An evaluation was performed similarly to Example 1 except that a corner reinforcement had a width W of 10 mm and a height H of 5 mm. As a result, Evaluation A was given in the mass ratio of 1.21, Evaluation B was given in the stress ratio of 2.27, and Evaluation A was given in the displacement ratio of 1.05.
Example 4
(61) An evaluation was performed similarly to Example 1 except that a corner reinforcement had dimensions of W of 7 mm and H of 7 mm and a long side edge was formed in a circular-arc shape having a radius of 10 mm (
Example 5
(62) A long structural member (
(63) Next, a long structural member having a thickness of 2 mm, L of 400 mm, Wa of 100.0 mm, W0 of 78.1 mm, and H0 of 25 mm was formed, a corner reinforcement was formed at the inside of the long structural member on the CAD so that W was 5 mm, H was 5 mm, and a long side edge was linear (
Example 6
(64) An evaluation was performed similarly to Example 5 except that a corner reinforcement had a width W of 10 mm and a height H of 5 mm. As a result, Evaluation A was given in the mass ratio of 1.17, Evaluation A was given in the stress ratio of 0.60, and Evaluation A was given in the displacement ratio of 1.07.
Comparative Example 6
(65) A long structural member having a thickness of 2 mm, L of 400 mm, Wa of 100.0 mm, W0 of 78.1 mm, and H0 of 25 mm was formed by the use of CAD software and ribs were formed at the inside thereof so that a thickness t was 2.5 mm, a height h was 10 mm, an angle with respect to the elongated direction was 30°, and a pitch p was 54.3 mm (
Comparative Example 7
(66) An evaluation was performed similarly to Example 5 except that a corner reinforcement had a width W of 3 mm and a height H of 3 mm. As a result, Evaluation A was given in the mass ratio of 1.02, Evaluation B was given in the stress ratio of 1.44, and Evaluation A was given in the displacement ratio of 1.02.
Comparative Example 8
(67) An evaluation was performed similarly to Example 5 except that a corner reinforcement had a width W of 10 mm and a height H of 10 mm. As a result, Evaluation B was given in the mass ratio of 1.37, Evaluation A was given in the stress ratio of 0.34, and Evaluation A was given in the displacement ratio of 1.07.
Comparative Example 9
(68) An evaluation was performed similarly to Example 5 except that a corner reinforcement had a width W of 5 mm and a height H of 10 mm. As a result, Evaluation A was given in the mass ratio of 1.17, Evaluation B was given in the stress ratio of 1.02, and Evaluation A was given in the displacement ratio of 1.08.
Example 7
(69) A long structural member (
(70) Next, a hat channel having a thickness of 2 mm, L of 400 mm, Wa of 72.4 mm, W0 of 52.4 mm, and H0 of 50 mm was formed, a corner reinforcement was formed at the inside of the hat channel on the CAD so that W was 10 mm, H was 7.5 mm, and a long side edge was linear (
Comparative Example 10
(71) A long structural member having a thickness of 2 mm, L of 400 mm, Wa of 72.4 mm, W0 of 52.4 mm, and H0 of 50 mm was formed by the use of CAD software and ribs were formed at the inside thereof so that a thickness t was 2.5 mm, a height h was 10 mm, an angle with respect to the elongated direction was 30°, and a pitch p was 54.3 mm (
Comparative Example 11
(72) An evaluation was performed similarly to Example 5 except that a corner reinforcement had a width W of 10 mm and a height H of 20 mm. As a result, Evaluation B was given in the mass ratio of 1.69, Evaluation A was given in the stress ratio of 0.21, and Evaluation A was given in the displacement ratio of 1.15.
(73) TABLE-US-00001 TABLE 1 Mass Stress Displacement WO HO W H ratio ratio ratio W/WO H/HO Remark Example 1 52.4 25 7 7 A (1.22) A (0.87) A (1.07) 0.134 0.280 Example 2 52.4 25 5 5 A (1.1) A (0.98) A (1.05) 0.095 0.200 Example 3 52.4 25 5 9 A (1.21) A (0.99) A (1.06) 0.095 0.360 Comparative 52.4 25 — — B (1.32) A (0.99) B (0.99) — — Rib Example 1 Comparative 52.4 25 — — B (1.34) B (1.05) B (0.98) — — Rib Example 2 Comparative 52.4 25 — — B (1.63) A (0.78) A (1.05) — — Example 3 Comparative 52.4 25 10 10 B (1.46) A (0.39) A (1.07) 0.191 0.400 Example 4 Comparative 52.4 25 10 5 A (1.21) B (2.27) A (1.05) 0.191 0.200 Example 5 Example 4 52.4 25 7 7 A (1.14) A (0.64) A (1.06) 0.134 0.280 Circular-arc Example 5 78.1 25 5 5 A (1.08) A (0.44) A (1.06) 0.064 0.200 Example 6 78.1 25 10 5 A (1.17) A (0.6) A (1.07) 0.128 0.200 Comparative 78.1 25 — — B (1.46) A (0.79) B (0.97) — — Rib Example 6 Comparative 78.1 25 3 3 A (1.02) B (1.44) A (1.03) 0.038 0.120 Example 7 Comparative 78.1 25 10 10 B (1.37) A (0.34) A (1.07) 0.128 0.400 Example 8 Comparative 78.1 25 5 10 A (1.17) B (1.02) A (1.08) 0.064 0.400 Example 9 Example 7 52.4 50 10 7.5 A (1.25) A (0.15) A (1.12) 0.191 0.150 Comparative 52.4 50 — — A (1.28) A (0.6) B (0.98) — — Rib Example 10 Comparative 52.4 50 10 20 B (1.69) A (0.21) A (1.15) 0.191 0.400 Example 11
INDUSTRIAL APPLICABILITY
(74) According to the invention, it is possible to provide a fiber reinforcement resin structure member having a simple reinforcement structure and exhibiting high mechanical characteristics including a bending strength or a flexural modulus while suppressing an increase in molded article weight.
EXPLANATIONS OF LETTERS OR NUMERALS
(75) 1: linear corner of elongated member 2: circular-arc corner of elongated member 3: bottom face 4: upright face 5: both end portions of elongated main body 6: pair of flanges extending from both end portions in longitudinal direction 7: maximal stress extraction point 8: displacement extraction point