JP7714500B2 - Earthquake impact assessment device and earthquake impact assessment method - Google Patents
Earthquake impact assessment device and earthquake impact assessment methodInfo
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Description
本発明は、地震影響評価装置及び地震影響評価方法に関する。 The present invention relates to an earthquake impact assessment device and an earthquake impact assessment method.
特許文献1には、建築物の固有振動数が地震前後においてどの程度変化したかによって建築物の状態を把握する装置が開示されている。 Patent Document 1 discloses a device that determines the condition of a building by determining how much the building's natural frequency has changed before and after an earthquake.
特許文献1に記載された装置では、建築物全体の健全性が評価されているが、建築物が地震で受けた影響をより正確に評価するには、建築物を構成する鋼製部材が地震時にどの程度変形していたかをそれぞれ把握する必要がある。しかしながら、地震時に各鋼製部材に生じた変形量を計測するには、例えば、各鋼製部材に計測センサ等を設置し、記録計で常時計測を行い、地震後に解析を行うことが考えられるが、計測コストが増大するとともに解析工数が増大するおそれがある。 The device described in Patent Document 1 evaluates the integrity of the entire building, but to more accurately evaluate the impact of an earthquake on a building, it is necessary to understand the degree to which each of the steel components that make up the building deformed during the earthquake. However, one possible way to measure the amount of deformation that occurred in each steel component during an earthquake would be to install measurement sensors on each steel component, continuously measure using a recorder, and then analyze the data after the earthquake. However, this would increase measurement costs and the amount of analysis work required.
本発明は、鉄骨造建築物を構成する鋼製部材が地震で受けた影響を容易に評価可能とすることを目的とする。 The purpose of this invention is to make it possible to easily evaluate the impact of an earthquake on the steel members that make up a steel-framed building.
本発明は、鉄骨造建築物を構成する鋼製部材が地震で受けた影響を評価する地震影響評価装置であって、鋼製部材の塑性化領域の範囲を取得する取得部と、塑性化領域の範囲に基づいて地震時の鋼製部材の塑性率を演算する演算部と、塑性率に基づいて鋼製部材が地震で受けた影響を評価する評価部と、を備える。 The present invention is an earthquake impact assessment device that assesses the impact of an earthquake on steel members that make up a steel-framed building. It includes an acquisition unit that acquires the range of the plasticity region of the steel member, a calculation unit that calculates the plasticity factor of the steel member during an earthquake based on the range of the plasticity region, and an evaluation unit that assesses the impact of the earthquake on the steel member based on the plasticity factor.
また、本発明は、鉄骨造建築物を構成する鋼製部材が地震で受けた影響を評価する地震影響評価方法であって、鋼製部材の塑性化領域の範囲を取得するステップと、塑性化領域の範囲に基づいて地震時の鋼製部材の塑性率を演算するステップと、塑性率に基づいて鋼製部材が地震で受けた影響を評価するステップと、を含む。 The present invention also provides an earthquake impact assessment method for assessing the impact of an earthquake on steel members that make up a steel-framed building, and includes the steps of obtaining the range of the plasticity region of the steel members, calculating the plasticity factor of the steel members during an earthquake based on the range of the plasticity region, and assessing the impact of the earthquake on the steel members based on the plasticity factor.
本発明によれば、鉄骨造建築物を構成する鋼製部材が地震で受けた影響を容易に評価することができる。 This invention makes it easy to evaluate the impact of an earthquake on steel members that make up a steel-framed building.
以下、図面を参照して、本発明の実施形態に係る地震影響評価装置及び地震影響評価方法について説明する。 The following describes an earthquake impact assessment device and earthquake impact assessment method according to an embodiment of the present invention, with reference to the drawings.
本発明の実施形態に係る地震影響評価装置10は、鉄骨造建築物を構成する梁や柱といった鋼製部材が地震で受けた影響を地震後に評価するための装置である。以下では、図1に示すように、鉛直方向に沿って立設された柱部材1に対して溶接接合され、水平方向に沿って配置された梁部材2が地震で受けた影響を地震後に評価する場合について説明する。なお、地震影響評価装置10の評価対象となる鋼製部材は、柱部材1に限定されず、鉄骨製の柱部材やブレース材であってもよい。 An earthquake impact assessment device 10 according to an embodiment of the present invention is a device for post-earthquake assessment of the impact of an earthquake on steel members such as beams and columns that make up a steel-framed building. Below, we will explain the post-earthquake assessment of the impact of an earthquake on a beam member 2 that is welded to a column member 1 that is erected vertically and arranged horizontally, as shown in Figure 1. Note that the steel members that are the subject of assessment by the earthquake impact assessment device 10 are not limited to column member 1, but may also be steel-framed column members or brace materials.
梁部材2は、一対のフランジ部3,4と、一対のフランジ部3,4に挟まれたウェブ部5と、を有するH形鋼材であって、一対のフランジ部3,4となる一対の鋼板がウェブ部5となる鋼板に溶接接合されることによって形成された、いわゆるビルドH形鋼である。なお、梁部材2は、圧延により形成されたロールH形鋼であってもよい。 The beam member 2 is an H-shaped steel material having a pair of flange portions 3, 4 and a web portion 5 sandwiched between the pair of flange portions 3, 4. It is a so-called built H-shaped steel formed by welding a pair of steel plates that form the pair of flange portions 3, 4 to a steel plate that forms the web portion 5. The beam member 2 may also be a rolled H-shaped steel formed by rolling.
梁部材2は、鋼管柱である柱部材1に設けられたガセットプレート6に、図示しない高力ボルトを介してウェブ部5が仮接合された状態で一対のフランジ部3,4を柱部材1に設けられた一対のダイアフラム7にそれぞれ溶接接合することによって柱部材1に接合される。なお、柱部材1に対するウェブ部5の接合は、高力ボルトによるボルト接合に限定されず、ウェブ部5の端面を柱部材1に直接溶接接合することにより行われてもよい。 The beam member 2 is joined to the column member 1, which is a steel pipe column, by welding a pair of flanges 3, 4 to a pair of diaphragms 7 provided on the column member 1, with the web portion 5 temporarily joined to a gusset plate 6 provided on the column member 1 via high-strength bolts (not shown). Note that the joining of the web portion 5 to the column member 1 is not limited to bolting using high-strength bolts, and may also be performed by directly welding the end faces of the web portion 5 to the column member 1.
このように柱部材1に接合された梁部材2が、地震によって永久ひずみ(残留ひずみ)が残る程度の損傷を受けると、永久ひずみが生じた部分において、フランジ部3,4を覆う黒皮(ミルスケール)や耐火被覆に剥がれが生じる。このため、梁部材2の固定端である柱部材1との接合部からどの程度の範囲にわたって梁部材2が塑性化したかを目視によって判断することが可能である。 When a beam member 2 joined to a column member 1 in this way is damaged by an earthquake to the extent that permanent strain (residual strain) remains, the mill scale and fire-resistant coating covering the flanges 3 and 4 peel off in the areas where permanent strain has occurred. This makes it possible to visually determine the extent to which the beam member 2 has become plastic, from the joint with the column member 1, which is the fixed end of the beam member 2.
また、梁部材2が塑性化した領域を測定するには、梁部材2の材軸方向(長手方向)に沿って予め歪みゲージや光ファイバ等の計測センサを配置しておき、地震後に計測センサでひずみ(永久ひずみ)が検出された範囲を梁部材2が塑性化した範囲として把握することも可能である。 In addition, to measure the area in which the beam member 2 has become plastic, measurement sensors such as strain gauges or optical fibers can be placed in advance along the material axis direction (longitudinal direction) of the beam member 2, and the area in which strain (permanent strain) is detected by the measurement sensor after an earthquake can be determined as the area in which the beam member 2 has become plastic.
また、フランジ部3,4を覆う耐火被覆を剥がして部材の硬さを計測し、永久ひずみの影響によって硬さが上昇した範囲を、梁部材2が塑性化した範囲として把握することも可能である。 It is also possible to remove the fire-resistant coating covering the flanges 3 and 4, measure the hardness of the components, and determine the range where hardness has increased due to permanent strain as the range where the beam component 2 has become plastic.
このように梁部材2が塑性化している範囲を地震後に把握することは可能であるが、梁部材2が地震で受けた影響をより正確に評価するには、梁部材2が地震時にどの程度変形していたかを把握する必要がある。しかしながら、地震時に梁部材2に生じた変形量を計測するには、例えば、各梁部材2に計測センサを設置しておき、記録計で常時計測を行い、地震後に解析を行うことが考えられるが、計測に必要なコストが増大するとともに解析に要する工数も増大するおそれがある。 In this way, it is possible to determine the extent to which beam members 2 have become plastic after an earthquake, but to more accurately assess the impact of the earthquake on beam members 2, it is necessary to determine the extent to which beam members 2 deformed during the earthquake. However, one way to measure the amount of deformation that occurred in beam members 2 during an earthquake would be to install measurement sensors on each beam member 2, take constant measurements using a recorder, and then analyze the results after the earthquake. However, this increases the cost of measurement and may also increase the amount of work required for analysis.
そこで本実施形態では、上述のような種々手法によって地震後に把握された梁部材2の塑性化した範囲の大きさを利用して、地震時に梁部材2がどの程度の損傷を受けたのかを推定している。 In this embodiment, the extent of the plasticized area of the beam member 2, as determined after an earthquake using the various methods described above, is used to estimate the extent of damage the beam member 2 sustained during the earthquake.
ここで、上述のようにして地震後に把握された梁部材2の塑性化範囲Lyは、図2に示される梁部材2の断面における回転角θと曲げモーメントMとの関係において、弾性勾配Kの線上から乖離したときのモーメントを降伏モーメントMyとした場合に、降伏モーメントMyを超えて変形した箇所であり、例えば、図3に示されるように、梁部材2の固定端である柱部材1との接合部から所定の範囲に渡って生じる。 Here, the plastic deformation range Ly of the beam member 2 identified after an earthquake as described above is the location where deformation has exceeded the yield moment My, where the yield moment My is the moment when the beam member 2 deviates from the line of elastic gradient K in the relationship between the rotation angle θ and bending moment M in the cross section of the beam member 2 shown in Figure 2.For example, as shown in Figure 3, this occurs over a specified range from the joint with the column member 1, which is the fixed end of the beam member 2.
図2は、一定荷重あるいは一定変形毎に加力を止めて、梁部材2のひずみや変形度合いを測定する、いわゆる静的単調載荷試験により得られた結果を示すグラフであり、梁部材2の断面における回転角θと曲げモーメントMとの関係が示されている。図3は、モーメント図であり、梁部材2の所定の載荷点に荷重が作用した場合の梁部材2の材軸方向(長手方向)における曲げモーメントMが示されている。 Figure 2 is a graph showing the results of a so-called static monotonic loading test, in which the load is stopped at a certain load or deformation and the degree of strain and deformation of the beam member 2 is measured. The graph shows the relationship between the rotation angle θ at the cross section of the beam member 2 and the bending moment M. Figure 3 is a moment diagram showing the bending moment M in the axial direction (longitudinal direction) of the beam member 2 when a load is applied to a specified loading point on the beam member 2.
図3に示されるように、梁部材2と柱部材1との接合部から所定の距離Lだけ離れた載荷点に下方への荷重Pが作用した場合、曲げモーメントMは、載荷点から接合部に向かって徐々に大きくなり、接合部において最大(M=P・L)となる。そして、曲げモーメントMが降伏モーメントMyを超えている部分は、塑性化し塑性化範囲Lyとなる。これは載荷点に上方への荷重(-P)が作用した場合も同様である。 As shown in Figure 3, when a downward load P acts on a loading point a predetermined distance L away from the joint between the beam member 2 and the column member 1, the bending moment M gradually increases from the loading point toward the joint, reaching a maximum (M = P * L) at the joint. The portion where the bending moment M exceeds the yield moment My becomes plastic and enters the plastic range Ly. The same is true when an upward load (-P) acts on the loading point.
図3に示される荷重Pの大きさと塑性化範囲Lyの大きさとの関係性、すなわち、曲げモーメントMの大きさと塑性化範囲Lyの大きさとの関係性を数式化すると下記数1のように表される。 The relationship between the magnitude of the load P and the size of the plastic range Ly shown in Figure 3, i.e., the relationship between the magnitude of the bending moment M and the size of the plastic range Ly, can be expressed mathematically as shown in Equation 1 below.
上記数1中のMは梁部材2の端部における曲げモーメントであり、Lは梁部材2と柱部材1との接合部から載荷点までの距離であり、Myは梁部材2の降伏モーメントである。なお、載荷点は対象梁の長期荷重と地震荷重を考慮して得られた曲げモーメント図等から設定される。 In the above equation (1), M is the bending moment at the end of beam member 2, L is the distance from the joint between beam member 2 and column member 1 to the loading point, and My is the yield moment of beam member 2. The loading point is set from a bending moment diagram obtained by taking into account the long-term load and earthquake load of the target beam.
上記数1からも明らかであるように、梁部材2の端部における曲げモーメントMが大きくなるほど、塑性化範囲Lyは大きくなり、梁部材2の端部における曲げモーメントMが降伏モーメントMyよりも小さい場合、すなわち、荷重Pが比較的小さい場合には、梁部材2に塑性化範囲Lyは生じない。なお、塑性化範囲Lyとは、梁部材2のフランジ部3,4の表面が僅かに塑性化している部分を含む範囲であって、梁部材2の全断面が塑性化している範囲を意味するものではない。 As is clear from the above equation (1), the larger the bending moment M at the end of the beam member 2, the larger the plasticity range Ly. When the bending moment M at the end of the beam member 2 is smaller than the yield moment My, i.e., when the load P is relatively small, the plasticity range Ly does not occur in the beam member 2. Note that the plasticity range Ly refers to the range that includes the areas where the surfaces of the flange portions 3 and 4 of the beam member 2 are slightly plasticized, and does not mean the range where the entire cross section of the beam member 2 is plasticized.
以下では、このように接合部から所定の範囲に渡って梁部材2に生じた塑性化範囲Lyを梁部材2の梁せいHで除して無次元化したパラメータを塑性化領域(Ly/H)として説明する。 In the following, the parameter obtained by dividing the plastic range Ly that occurs in the beam member 2 over a specified range from the joint by the beam depth H of the beam member 2 and making it dimensionless will be referred to as the plastic range (Ly/H).
また、以下では、図2に示される梁部材2の断面における回転角θと曲げモーメントMとの関係において、弾性勾配Kの線上から乖離したときの回転角θを降伏変形θyとし、降伏変形θyを分母として算出される塑性率を降伏塑性率μyとして説明する。 Furthermore, in the following description, in the relationship between the rotation angle θ and the bending moment M in the cross section of the beam member 2 shown in Figure 2, the rotation angle θ when it deviates from the line of the elastic gradient K will be referred to as the yield deformation θy, and the plasticity ratio calculated using the yield deformation θy as the denominator will be referred to as the yield plasticity ratio μy.
なお、全塑性荷重を基準とした塑性率μでは、塑性率μが1となったとき、梁部材2のフランジ部3,4等が完全に降伏し、全断面が塑性化した状態となっていることを意味することから、塑性化が進行する状況、例えば、梁部材2のフランジ部3,4の表面から徐々に塑性化が進む状況を示す指標としては適切ではない。このため、上述のように定義される降伏塑性率μyを用いる。 Note that when the plasticity factor μ based on full plastic load reaches 1, it means that the flange portions 3, 4, etc. of the beam member 2 have completely yielded, and the entire cross section has become plastic. Therefore, it is not an appropriate indicator of the progression of plasticity, such as the gradual progression of plasticity from the surfaces of the flange portions 3, 4 of the beam member 2. For this reason, the yield plasticity factor μy defined above is used.
次に、図3に示される梁部材2の載荷点を一定の振幅で変位させる一定振幅繰り返し載荷試験の結果から得られる塑性化領域(Ly/H)と降伏塑性率μyとの関係性について、図4~6を参照して説明する。 Next, we will explain the relationship between the plastic region (Ly/H) and the yield plasticity ratio μy obtained from the results of a constant amplitude cyclic loading test in which the loading point of the beam member 2 shown in Figure 3 is displaced at a constant amplitude, with reference to Figures 4 to 6.
図4は、一定振幅繰り返し載荷試験から得られる降伏塑性率μyと曲げモーメントMとの一般的な関係性を示すグラフであり、図5は、複数の降伏塑性率μyにおいて行われた一定振幅繰り返し載荷試験から得られる繰り返し数Nと塑性化領域(Ly/H)との一般的な関係性を示すグラフであり、図6は、図5のグラフから得られた塑性化領域(Ly/H)と一定振幅時の降伏塑性率μyとの関係性を示すグラフである。 Figure 4 is a graph showing the general relationship between the yield plasticity ratio μy obtained from a constant amplitude cyclic loading test and the bending moment M. Figure 5 is a graph showing the general relationship between the number of repetitions N and the plastic region (Ly/H) obtained from a constant amplitude cyclic loading test conducted at multiple yield plasticity ratios μy. Figure 6 is a graph showing the relationship between the plastic region (Ly/H) obtained from the graph in Figure 5 and the yield plasticity ratio μy at a constant amplitude.
一定振幅繰り返し載荷試験では、所定の降伏塑性率μyとなるように、梁部材2が破断に至るまで、繰り返し載荷され、梁部材2の材軸方向(長手方向)に沿って複数設けられた歪みゲージや材軸方向に沿って設けられた光ファイバ等のひずみ計測センサによって梁部材2に生じているひずみが随時計測される。 In a constant amplitude cyclic loading test, the beam member 2 is repeatedly loaded until it breaks, so as to achieve a predetermined yield plasticity modulus μy, and the strain occurring in the beam member 2 is measured at any time using multiple strain gauges installed along the material axis (longitudinal direction) of the beam member 2 and strain measurement sensors such as optical fibers installed along the material axis direction.
一般的に載荷点が一定の振幅で繰り返し変位されると、梁部材2の端部における曲げモーメントMは、図4に示されるように、繰り返し数Nの増加に伴って徐々に増加する。つまり、梁部材2の塑性化領域(Ly/H)は、繰り返し数Nの増加に伴って徐々に増加することになる。 Generally, when the loading point is repeatedly displaced at a constant amplitude, the bending moment M at the end of the beam member 2 gradually increases as the number of repetitions N increases, as shown in Figure 4. In other words, the plastic region (Ly/H) of the beam member 2 gradually increases as the number of repetitions N increases.
ここで、一定振幅繰り返し載荷試験において、載荷点を1回振幅させる間に、ひずみ計測センサによってひずみが生じたことが検出された領域は、曲げモーメントMが降伏モーメントMyを超えることで塑性化が進行した領域、すなわち、上述の塑性化領域(Ly/H)と見做すことができる。このため、載荷点を1回振幅させる毎にひずみ計測センサの検出値に基づいて塑性化領域(Ly/H)の大きさを把握することによって、所定の降伏塑性率μyにおいて、繰り返し数Nに応じて、どの程度まで塑性化領域(Ly/H)が拡大するかを把握することが可能である。 Here, in a constant amplitude cyclic loading test, the area where strain is detected by the strain measurement sensor during one oscillation of the loading point can be considered to be the area where plasticization has progressed as the bending moment M exceeds the yield moment My, i.e., the plasticized area (Ly/H) described above. Therefore, by determining the size of the plasticized area (Ly/H) based on the detection value of the strain measurement sensor each time the loading point oscillates, it is possible to determine to what extent the plasticized area (Ly/H) will expand at a given yield plasticity ratio μy depending on the number of cycles N.
このように載荷点を1回振幅させる毎に把握された塑性化領域(Ly/H)は、図5に示されるように、何れの降伏塑性率μy1,μy2,μy3においても繰り返し数Nと共に増大し、やがて一定値に漸近する傾向がある。図5に示される第1降伏塑性率μy1は、降伏塑性率μyが1よりも大きい場合であり、第2降伏塑性率μy2は、第1降伏塑性率μy1よりも降伏塑性率μyが大きい場合、第3降伏塑性率μy3は、第2降伏塑性率μy2よりも降伏塑性率μyが大きい場合をそれぞれ示している。 As shown in Figure 5, the plastic region (Ly/H) determined each time the loading point is oscillated increases with the number of cycles N for all yield plasticity factors μy1, μy2, and μy3, and eventually tends to approach a constant value. The first yield plasticity factor μy1 shown in Figure 5 corresponds to the case where the yield plasticity factor μy is greater than 1, the second yield plasticity factor μy2 corresponds to the case where the yield plasticity factor μy is greater than the first yield plasticity factor μy1, and the third yield plasticity factor μy3 corresponds to the case where the yield plasticity factor μy is greater than the second yield plasticity factor μy2.
なお、図5における繰り返し数Nの限界数は、梁部材2が破断するまでの回数に限定されず、塑性化領域(Ly/H)の大きさに変化が認められなくなる回数であればよく、例えば、梁部材2の耐力が最大荷重の80~90%程度に低下するまでの回数であってもよい。 Note that the limit number of repetitions N in Figure 5 is not limited to the number of times until the beam member 2 breaks, but may be any number of times until no change in the size of the plasticized region (Ly/H) is observed. For example, it may be the number of times until the strength of the beam member 2 decreases to approximately 80 to 90% of the maximum load.
このようにして得られた各降伏塑性率μy1,μy2,μy3において漸近した塑性化領域(Ly/H)の大きさを、図6に示されるような、横軸を塑性化領域(Ly/H)の大きさとし、縦軸を一定振幅時の降伏塑性率μyとしたグラフにプロットし、プロットされた複数の点の近似直線を求めると、関係式Aで示される一次関数のグラフが取得される。 The size of the plastic region (Ly/H) asymptotically approached at each of the yield plasticity factors μy1, μy2, and μy3 obtained in this way is plotted on a graph, as shown in Figure 6, with the size of the plastic region (Ly/H) on the horizontal axis and the yield plasticity factor μy at a constant amplitude on the vertical axis. By finding an approximation line for the multiple plotted points, a graph of the linear function represented by relational equation A is obtained.
塑性化領域(Ly/H)の範囲と一定振幅時の降伏塑性率μyとの関係性を示す関係式Aからは、どの程度の降伏塑性率μyで一定振幅させると、塑性化領域(Ly/H)が最終的にどの程度の大きさになるかを推定することが可能である。 From relational expression A, which shows the relationship between the range of the plastic region (Ly/H) and the yield plasticity modulus μy at a constant amplitude, it is possible to estimate the final size of the plastic region (Ly/H) when a constant amplitude is applied at a certain yield plasticity modulus μy.
換言すれば、上述のような種々手法により地震後の梁部材2の塑性化範囲Lyが把握され、梁部材2の梁せいHの大きさが図面等から把握されれば、関係式Aに基づいて、梁部材2が地震時に最大でどの程度変形(振幅)していたのかを示す降伏塑性率μyを推定することができる。 In other words, if the plastic deformation range Ly of the beam member 2 after an earthquake can be determined using the various methods described above, and the magnitude of the beam depth H of the beam member 2 can be determined from drawings, etc., then the yield plasticity ratio μy, which indicates the maximum deformation (amplitude) of the beam member 2 during the earthquake, can be estimated based on relational equation A.
また、一定振幅繰り返し載荷試験の結果から図7に示される性能曲線(S-N曲線)を作成することによって、この性能曲線と、上述の関係式Aから推定された地震時の降伏塑性率μyと、に基づいて、梁部材2の破断寿命Nfを推定することも可能である。具体的には、破断寿命Nfは、一般的に下記数2により推定される。 In addition, by creating the performance curve (S-N curve) shown in Figure 7 from the results of a constant amplitude cyclic loading test, it is possible to estimate the fracture life Nf of the beam member 2 based on this performance curve and the earthquake yield plasticity factor μy estimated from the above-mentioned relational equation A. Specifically, the fracture life Nf is generally estimated using the following equation 2.
上記数2中のμは塑性率であり、Cは梁端部の接合形式等に応じて設定される係数であり、βは評価式の傾きであり1/3程度の値に実験的に設定される。 In the above equation 2, μ is the plasticity factor, C is a coefficient set depending on the joint type at the beam end, etc., and β is the slope of the evaluation formula, which is experimentally set to a value of approximately 1/3.
ここで、性能曲線における塑性率μは、全塑性荷重を基準としたものであって、上述の降伏塑性率μyとは基準が異なる。このため、性能曲線に基づいて破断寿命Nfを推定するには、降伏塑性率μyを塑性率μに換算する必要がある。 The plasticity factor μ in the performance curve is based on the full plastic load, which is different from the yield plasticity factor μy mentioned above. Therefore, to estimate the fracture life Nf based on the performance curve, it is necessary to convert the yield plasticity factor μy to the plasticity factor μ.
降伏塑性率μyを塑性率μに換算する換算係数は、梁部材2の断面形状や梁部材2と柱部材1との接合部の具体的形状、例えば、ウェブ部5に形成されるスカラップの形状等によって異なり、実験的またはFEM(Finite Element Method)解析によって求められる。換算係数の具体的な大きさは、0.7前後である。 The conversion factor used to convert the yield plasticity modulus μy to the plasticity modulus μ varies depending on the cross-sectional shape of the beam member 2 and the specific shape of the joint between the beam member 2 and the column member 1, such as the shape of the scallops formed in the web portion 5, and is determined experimentally or by FEM (Finite Element Method) analysis. The specific magnitude of the conversion factor is around 0.7.
また、関係式Aから得られる降伏塑性率μyは、地震時に梁部材2が変形していたと推定される最大の変形度合であることから、性能曲線に基づいて推定される破断寿命Nfは、実際の破断寿命よりも小さい値となる可能性がある。 Furthermore, since the yield plasticity ratio μy obtained from relational equation A is the maximum degree of deformation that is estimated to have occurred in the beam member 2 during an earthquake, the fracture life Nf estimated based on the performance curve may be a value shorter than the actual fracture life.
このため、近隣の観測点で計測された実際の地震波形等に基づいて、関係式Aから得られた降伏塑性率μyは最大値であったと仮定し、これよりも小さい複数の降伏塑性率μyで梁部材2が振幅していたと推定することにより、線形累積損傷則(マイナー則)で評価された破断寿命Nfを算出してもよい。 For this reason, it is possible to assume that the yield plasticity factor μy obtained from relational equation A was the maximum value based on actual seismic waveforms measured at nearby observation points, and estimate that the beam member 2 vibrated at multiple yield plasticity factors μy smaller than this, thereby calculating the fracture life Nf evaluated using the linear cumulative damage rule (Miner's rule).
また、梁部材2が設けられる鉄骨造建築物の階層の揺れ回数n(振動回数)を取得しておくことによって、揺れ回数nを破断寿命Nfによって除することによって、梁部材2の損傷度Dを求めたり、さらに損傷度Dを用いて残存性能(1-D)や余裕度(1-D)/Dを求めたりすることも可能である。 Furthermore, by obtaining the number of vibrations n (number of vibrations) of the floors of a steel-framed building in which beam member 2 is installed, it is possible to obtain the damage level D of beam member 2 by dividing the number of vibrations n by the fracture life Nf, and further use the damage level D to obtain the remaining performance (1-D) and margin (1-D)/D.
以上のような特性に基づいて地震時に梁部材2(鋼製部材)がどの程度の損傷を受けたのかを推定するために、本実施形態に係る地震影響評価装置10は、図8に示すように、梁部材2(鋼製部材)の塑性化した領域の範囲である塑性化範囲Lyを取得する取得部11と、取得された塑性化範囲Lyに基づいて地震時の梁部材2の降伏塑性率μy(塑性率)を演算する演算部12と、降伏塑性率μyに基づいて梁部材2が地震で受けた影響を評価する評価部13と、演算部12及び評価部13で用いられる関係式や係数等が記憶されるとともに演算結果や評価結果が記憶される記憶部14と、を備える。 In order to estimate the extent of damage sustained by a beam member 2 (steel member) during an earthquake based on the above-described characteristics, the earthquake impact assessment device 10 according to this embodiment, as shown in FIG. 8, includes an acquisition unit 11 that acquires the plasticization range Ly, which is the range of the plasticized region of the beam member 2 (steel member); a calculation unit 12 that calculates the yield plasticity modulus μy (plasticity modulus) of the beam member 2 during an earthquake based on the acquired plasticization range Ly; an evaluation unit 13 that evaluates the impact of the earthquake on the beam member 2 based on the yield plasticity modulus μy; and a memory unit 14 that stores relational equations, coefficients, etc. used by the calculation unit 12 and evaluation unit 13, as well as calculation results and evaluation results.
地震影響評価装置10は、具体的には、CPU(中央演算処理装置)、ROM(リードオンリメモリ)、RAM(ランダムアクセスメモリ)、及びI/Oインターフェース(入出力インターフェース)を備えたマイクロコンピュータで構成される。RAMはCPUの処理におけるデータを記憶し、ROMはCPUの制御プログラム等を予め記憶し、I/Oインターフェースは地震影響評価装置10に接続された入力部20や表示部30、計測部40との情報の入出力に使用される。RAM及びROMは記憶部14に相当する。なお、取得部11、演算部12及び評価部13は、地震影響評価装置10の各機能を、仮想的なユニットとして示したものであり、物理的に存在することを意味するものではない。 Specifically, the earthquake impact assessment device 10 is composed of a microcomputer equipped with a CPU (Central Processing Unit), ROM (Read Only Memory), RAM (Random Access Memory), and I/O interface (Input/Output Interface). The RAM stores data used in CPU processing, the ROM stores the CPU's control programs and other information in advance, and the I/O interface is used for inputting and outputting information to and from the input unit 20, display unit 30, and measurement unit 40 connected to the earthquake impact assessment device 10. The RAM and ROM correspond to the memory unit 14. Note that the acquisition unit 11, calculation unit 12, and evaluation unit 13 represent the functions of the earthquake impact assessment device 10 as virtual units, and do not necessarily exist physically.
地震影響評価装置10に接続される入力部20は、キーボードやタッチパネルであり、作業者が塑性化範囲Lyに関連する寸法等を入力するために用いられる。地震影響評価装置10に接続される表示部30は、演算結果や評価結果が表示されるモニタ画面であり、入力部20を介して入力された値も表示される。 The input unit 20 connected to the earthquake impact assessment device 10 is a keyboard or touch panel, and is used by the operator to input dimensions related to the plasticization range Ly. The display unit 30 connected to the earthquake impact assessment device 10 is a monitor screen that displays calculation results and assessment results, and also displays values entered via the input unit 20.
また、地震影響評価装置10には、塑性化範囲Lyを計測可能な計測部40が接続されていてもよい。計測部40は、例えば、梁部材2の材軸方向に沿って設置された歪みゲージや光ファイバ等のひずみ計測センサの検出値を計測可能な装置である。また、計測部40には、梁部材2が設けられる階層の揺れ回数nを記録する振動記録計が含まれていてもよい。 The earthquake impact assessment device 10 may also be connected to a measurement unit 40 capable of measuring the plasticization range Ly. The measurement unit 40 is, for example, a device capable of measuring the detection values of strain measurement sensors such as strain gauges or optical fibers installed along the material axis direction of the beam member 2. The measurement unit 40 may also include a vibration recorder that records the number of vibrations n of the story on which the beam member 2 is installed.
このように地震影響評価装置10と、地震影響評価装置10に接続される機器により地震影響評価システム100が構築される。 In this way, the earthquake impact assessment device 10 and the equipment connected to the earthquake impact assessment device 10 form an earthquake impact assessment system 100.
続いて地震影響評価装置10により行われる地震影響評価方法について、図9のフローチャートを参酌して説明する。 Next, the earthquake impact assessment method performed by the earthquake impact assessment device 10 will be explained with reference to the flowchart in Figure 9.
まず、ステップS11において、取得部11により、梁部材2(鋼製部材)の塑性化した領域の範囲である塑性化範囲Lyが取得される。具体的には、入力部20を介して作業員により黒皮(ミルスケール)が剥がれている部分の長さや計測部40によって残留ひずみが検知された部分の長さが入力される。これらの入力値は、塑性化範囲Lyとして取得部11により取得される。なお、残留ひずみが検知された部分の長さは、地震影響評価装置10に計測部40を接続することによって、計測部40から取得部11へと直接送られてもよい。 First, in step S11, the acquisition unit 11 acquires the plasticization range Ly, which is the range of the plasticized region of the beam member 2 (steel member). Specifically, the length of the portion where the black scale (mill scale) has peeled off and the length of the portion where residual strain has been detected by the measurement unit 40 are input by the worker via the input unit 20. These input values are acquired by the acquisition unit 11 as the plasticization range Ly. Note that the length of the portion where residual strain has been detected may be sent directly from the measurement unit 40 to the acquisition unit 11 by connecting the measurement unit 40 to the earthquake impact assessment device 10.
続くステップS12では、演算部12により、取得部11で取得された塑性化範囲Ly及び記憶部14に予め記憶された梁せいHに基づいて地震時の梁部材2の降伏塑性率μyが演算される。 In the following step S12, the calculation unit 12 calculates the yield plasticity ratio μy of the beam member 2 during an earthquake based on the plasticity range Ly acquired by the acquisition unit 11 and the beam depth H previously stored in the memory unit 14.
具体的には、上述のように図5に示される繰り返し数Nに対する塑性化領域(Ly/H)の範囲の変化に基づいて予め立式された図6に示される関係式Aを用いて、塑性化領域(Ly/H)から梁部材2が地震時に最大でどの程度変形していたのかを示す地震時の降伏塑性率μyが演算される。なお、関係式Aは、予め記憶部14に記憶される。 Specifically, the yield plasticity ratio μy during an earthquake, which indicates the maximum deformation of the beam member 2 from the plastic region (Ly/H) during an earthquake, is calculated using relational expression A shown in Figure 6, which was formulated in advance based on the change in the range of the plastic region (Ly/H) relative to the number of cycles N shown in Figure 5 as described above. Note that relational expression A is stored in advance in the memory unit 14.
次にステップS13において、演算部12により、梁部材2(鋼製部材)が破断に至るまでの破断寿命Nf(破断繰り返し数)が演算される。具体的には、記憶部14に予め記憶された上記数2により、梁部材2の破断寿命Nfが演算される。 Next, in step S13, the calculation unit 12 calculates the fracture life Nf (number of fracture repetitions) until the beam member 2 (steel member) fractures. Specifically, the fracture life Nf of the beam member 2 is calculated using the above equation 2, which is pre-stored in the memory unit 14.
なお、上述のようにステップS13で用いられる性能曲線の塑性率μは、全塑性荷重を基準としたものであって、ステップS12で演算された降伏塑性率μyとは基準が異なる。このため、ステップS12で演算された降伏塑性率μyは、記憶部14に予め記憶された換算係数によって予め変換される。 As mentioned above, the plasticity factor μ of the performance curve used in step S13 is based on the full plastic load, which is a different standard from the yield plasticity factor μy calculated in step S12. Therefore, the yield plasticity factor μy calculated in step S12 is converted in advance using a conversion factor pre-stored in memory unit 14.
続くステップS14では、評価部13により、梁部材2(鋼製部材)が地震で受けた影響が、演算部12により演算された破断寿命Nf(破断繰り返し数)と梁部材2が設けられる階層の揺れ回数nとに基づいて評価される。 In the following step S14, the evaluation unit 13 evaluates the impact of the earthquake on the beam member 2 (steel member) based on the fracture life Nf (number of fracture repetitions) calculated by the calculation unit 12 and the number of shakings n of the floor on which the beam member 2 is installed.
具体的には、揺れ回数nを破断寿命Nfによって除することによって梁部材2の損傷度Dが求められ、損傷度Dが1を超えていない場合、梁部材2は健全であると判定し、損傷度Dが1以上である場合、梁部材2は健全ではないと判定する。 Specifically, the damage level D of the beam member 2 is calculated by dividing the number of vibrations n by the fracture life Nf. If the damage level D does not exceed 1, the beam member 2 is determined to be sound; if the damage level D is 1 or greater, the beam member 2 is determined to be unsound.
このように評価部13で評価された結果は、表示部30に表示されるとともに記憶部14に記憶される。なお、損傷度Dに基づく評価は、健全か否かというだけではなく、損傷度Dの値の大きさに応じて、その損傷レベルを示すようにしてもよい。 The results of the evaluation performed by the evaluation unit 13 in this manner are displayed on the display unit 30 and stored in the memory unit 14. Note that the evaluation based on the damage level D may indicate not only whether the object is healthy or not, but also the level of damage depending on the magnitude of the value of the damage level D.
ステップS14において評価部13により損傷度Dを評価するにあたっては、梁部材2が設けられる鉄骨造建築物の階層における地震時の揺れ回数nが、取得部11を介して、入力部20または計測部40から予め取得される。なお、ステップS14において評価部13により行われる評価は、損傷度Dに基づくものに限定されず、残存性能(1-D)や余裕度(1-D)/Dに基づくものであってもよい。 When the evaluation unit 13 evaluates the damage level D in step S14, the number of shakings n during an earthquake for the floor of the steel-framed building in which the beam member 2 is installed is acquired in advance from the input unit 20 or the measurement unit 40 via the acquisition unit 11. Note that the evaluation performed by the evaluation unit 13 in step S14 is not limited to being based on the damage level D, but may also be based on the remaining performance (1-D) or the margin (1-D)/D.
続くステップS15では、評価部13により、梁部材2(鋼製部材)が地震で受けた影響が、ステップS12で演算された降伏塑性率μyと、梁部材2毎に予め設定されている許容塑性率μaと、に基づいて評価される。 In the following step S15, the evaluation unit 13 evaluates the impact of the earthquake on the beam member 2 (steel member) based on the yield plasticity factor μy calculated in step S12 and the allowable plasticity factor μa preset for each beam member 2.
具体的には、降伏塑性率μyと許容塑性率μaとを比較し、降伏塑性率μyが許容塑性率μaを超えていない場合、梁部材2は健全であると判定し、降伏塑性率μyが許容塑性率μa以上である場合、梁部材2は健全ではないと判定する。 Specifically, the yield plasticity factor μy is compared with the allowable plasticity factor μa, and if the yield plasticity factor μy does not exceed the allowable plasticity factor μa, the beam member 2 is determined to be sound; if the yield plasticity factor μy is equal to or greater than the allowable plasticity factor μa, the beam member 2 is determined to be unsound.
このように評価部13で評価された結果は、表示部30に表示されるとともに記憶部14に記憶される。なお、降伏塑性率μy及び許容塑性率μaに基づく評価は、健全か否かというだけではなく、許容塑性率μaに対する降伏塑性率μyの比率に応じて、その損傷レベルを示すようにしてもよい。 The results of the evaluation performed by the evaluation unit 13 in this manner are displayed on the display unit 30 and stored in the memory unit 14. The evaluation based on the yield plasticity factor μy and the allowable plasticity factor μa may indicate not only whether the structure is sound or not, but also the damage level according to the ratio of the yield plasticity factor μy to the allowable plasticity factor μa.
ステップS15において評価に用いられる許容塑性率μaは、入力部20を介して入力されるものであってもよいし、予め記憶部14に記憶されたものであってもよい。なお、許容塑性率μaが全塑性荷重を基準としたものである場合、ステップS12で演算された降伏塑性率μyは、記憶部14に予め記憶された換算係数によって予め変換される。 The allowable plasticity factor μa used for the evaluation in step S15 may be input via the input unit 20, or may be stored in advance in the memory unit 14. Note that if the allowable plasticity factor μa is based on the full plastic load, the yield plasticity factor μy calculated in step S12 is converted in advance using a conversion factor stored in advance in the memory unit 14.
これらの工程を経て、地震影響評価装置10により行われる地震影響評価方法が完了し、梁部材2が地震で受けた影響が評価される。 After these steps, the earthquake impact assessment method performed by the earthquake impact assessment device 10 is completed, and the impact of the earthquake on the beam member 2 is evaluated.
以上の実施形態によれば、以下に示す効果を奏する。 The above embodiment provides the following advantages:
地震影響評価装置10では、取得部11で取得された塑性化範囲Lyに基づいて梁部材2(鋼製部材)の地震時の降伏塑性率μyが演算部12により演算され、演算された降伏塑性率μyに基づいて梁部材2が地震で受けた影響を示す損傷度Dや許容塑性率μaに対する降伏塑性率μyの比率が評価部13において評価される。 In the earthquake impact assessment device 10, the calculation unit 12 calculates the yield plasticity factor μy of the beam member 2 (steel member) during an earthquake based on the plasticity range Ly acquired by the acquisition unit 11, and the evaluation unit 13 evaluates the damage level D, which indicates the impact of the earthquake on the beam member 2, and the ratio of the yield plasticity factor μy to the allowable plasticity factor μa based on the calculated yield plasticity factor μy.
このように、地震時に生じた梁部材2(鋼製部材)の変形等の計測がリアルタイムで行われていなくとも、地震後に取得された塑性化範囲Lyに基づいて梁部材2が地震時にどの程度変形していたのかを演算で求めることによって、梁部材2が地震で受けた影響を地震後に容易に評価することができる。 In this way, even if measurements of deformation of the beam member 2 (steel member) that occurred during an earthquake are not taken in real time, the impact of the earthquake on the beam member 2 can be easily evaluated after the earthquake by calculating the degree to which the beam member 2 deformed during the earthquake based on the plasticity range Ly obtained after the earthquake.
なお、上記実施形態は、地震により梁部材2(鋼製部材)に繰り返し荷重が作用する場合、例えば、地震が海溝型地震である場合を想定している。これに対して、直下型地震のように梁部材2(鋼製部材)が一度の振動で大きく変位する場合には、以下のような方法により梁部材2が地震で受けた影響を地震後に評価することが可能である。 The above embodiment assumes a case where a beam member 2 (steel member) is repeatedly loaded by an earthquake, for example, a trench earthquake. In contrast, in cases where the beam member 2 (steel member) is significantly displaced by a single vibration, such as in a shallow earthquake, the impact of the earthquake on the beam member 2 can be evaluated after the earthquake using the following method.
一般的に直下型地震では、海溝型地震とは異なり、梁部材2(鋼製部材)には一度の振動によって大きな変位が生じる。このため、単調載荷試験の結果に基づいて、地震時に梁部材2がどの程度の損傷を受けたのかを推定することが可能である。 Generally, in a shallow earthquake, unlike a trench earthquake, a single vibration causes a large displacement in the beam member 2 (steel member). Therefore, based on the results of the monotonic load test, it is possible to estimate the extent of damage sustained by the beam member 2 during the earthquake.
ここで、曲げモーメントMと降伏モーメントMyと塑性化範囲Lyの大きさとは、上記数1の関係にあることから、単調載荷試験の結果を示す図2のグラフの縦軸を、上記数1と梁部材2の梁せいHとを用いて変換すると図10に示すグラフが得られる。なお、図10において、横軸は、降伏変形θyを分母として算出される降伏塑性率μyに変換されている。 Here, the magnitudes of the bending moment M, yield moment My, and plastic range Ly are related by the above equation 1, so if the vertical axis of the graph in Figure 2, which shows the results of the monotonic loading test, is converted using the above equation 1 and the beam depth H of the beam member 2, the graph shown in Figure 10 is obtained. Note that in Figure 10, the horizontal axis is converted to the yield plasticity modulus μy, which is calculated using the yield deformation θy as the denominator.
図10に示されるグラフからは、どの程度の降伏塑性率μyで梁部材2を一度に変位させると、塑性化領域(Ly/H)の大きさがどの程度になるかを推定することが可能である。 From the graph shown in Figure 10, it is possible to estimate the size of the plastic region (Ly/H) when the beam member 2 is displaced at one time at a certain yield plasticity rate μy.
換言すれば、上述のような種々手法により直下型地震後の梁部材2の塑性化範囲Lyが把握され、梁部材2の梁せいHの大きさが図面等から把握されれば、図10のグラフの縦軸と横軸とを入れ替えることによって得られる図11に示される関係式Bから、梁部材2が地震時に最大でどの程度変形していたのかを示す地震時の降伏塑性率μyを推定することができる。なお、関係式Bは、図10のグラフの縦軸と横軸とを入れ替えることによって得られるグラフから得られた近似曲線である。 In other words, if the plastic deformation range Ly of the beam member 2 after a shallow earthquake can be determined using the various methods described above, and the magnitude of the beam depth H of the beam member 2 can be determined from drawings, etc., the yield plasticity ratio μy during an earthquake, which indicates the maximum degree of deformation of the beam member 2 during an earthquake, can be estimated from relational equation B shown in Figure 11, which is obtained by swapping the vertical and horizontal axes of the graph in Figure 10. Note that relational equation B is an approximate curve obtained from the graph obtained by swapping the vertical and horizontal axes of the graph in Figure 10.
このようにして演算された降伏塑性率μyと、梁部材2毎に予め設定されている許容塑性率μaと、を比較することにより、直下型地震で梁部材2(鋼製部材)が受けた影響を評価することができる。 By comparing the yield plasticity factor μy calculated in this way with the allowable plasticity factor μa preset for each beam member 2, it is possible to evaluate the impact on the beam member 2 (steel member) of a shallow earthquake.
なお、図11に示されるグラフは、図6に示されるグラフと縦軸及び横軸が同じであり、図6に示されるグラフが一定振幅時の降伏塑性率μy、すなわち、海溝型地震で生じる揺れに近い状態での降伏塑性率μyを示しているのに対して、図11に示されるグラフには、単調載荷時の降伏塑性率μy、すなわち、直下型地震で生じる揺れに近い状態での降伏塑性率μyが示されている。 The graph shown in Figure 11 has the same vertical and horizontal axes as the graph shown in Figure 6, and while the graph shown in Figure 6 shows the yield plasticity modulus μy at constant amplitude, i.e., the yield plasticity modulus μy under conditions similar to the shaking that occurs in a subduction zone earthquake, the graph shown in Figure 11 shows the yield plasticity modulus μy under monotonic loading, i.e., the yield plasticity modulus μy under conditions similar to the shaking that occurs in a shallow earthquake.
したがって、海溝型と直下型との複合型地震であった場合、関係式Aから推定される地震時の降伏塑性率μyと、関係式Bから推定される地震時の降伏塑性率μyと、を任意の比率で足し合わせることによって算出された降伏塑性率μyに基づいて、梁部材2(鋼製部材)が地震で受けた影響を評価してもよい。 Therefore, in the case of a complex earthquake consisting of both a trench-type and a shallow-focus earthquake, the impact of the earthquake on beam member 2 (steel member) can be evaluated based on the yield plasticity factor μy calculated by adding together, in any ratio, the yield plasticity factor μy during the earthquake estimated from relational formula A and the yield plasticity factor μy during the earthquake estimated from relational formula B.
以上、本発明の実施形態について説明したが、上記実施形態は本発明の適用例の一部を示したに過ぎず、本発明の技術的範囲を上記実施形態の具体的構成に限定する趣旨ではない。 The above describes embodiments of the present invention, but these embodiments merely illustrate some of the application examples of the present invention, and are not intended to limit the technical scope of the present invention to the specific configurations of the above embodiments.
10・・・地震影響評価装置
2・・・梁部材(鋼製部材)
11・・・取得部
12・・・演算部
13・・・評価部
10: Earthquake impact assessment device 2: Beam member (steel member)
11: Acquisition unit 12: Calculation unit 13: Evaluation unit
Claims (5)
前記鋼製部材の塑性化領域の範囲を取得する取得部と、
前記塑性化領域の範囲に基づいて地震時の前記鋼製部材の塑性率を演算する演算部と、
前記塑性率に基づいて前記鋼製部材が地震で受けた影響を評価する評価部と、を備える、
地震影響評価装置。 An earthquake impact assessment device that evaluates the impact of an earthquake on steel members that make up a steel-framed building,
an acquisition unit that acquires a range of a plasticized region of the steel member;
a calculation unit that calculates a plasticity factor of the steel member during an earthquake based on the range of the plasticized region;
and an evaluation unit that evaluates the effect of an earthquake on the steel member based on the plasticity factor.
Earthquake impact assessment equipment.
請求項1に記載の地震影響評価装置。 The calculation unit calculates the plasticity factor using a relational expression between the range of the plasticity region and the plasticity factor at a constant amplitude, the relational expression being formulated in advance based on a change in the range of the plasticity region with respect to the number of repetitions.
The earthquake impact assessment device according to claim 1 .
前記演算部は、前記塑性率に基づいて前記鋼製部材が破断に至るまでの破断繰り返し数を演算し、
前記評価部は、前記破断繰り返し数と前記振動回数とに基づいて前記鋼製部材が地震で受けた影響を評価する、
請求項1または2に記載の地震影響評価装置。 The acquisition unit further acquires the number of vibrations of the steel-framed building during an earthquake,
The calculation unit calculates the number of repetitions until the steel member breaks based on the plasticity factor,
the evaluation unit evaluates the influence of the earthquake on the steel member based on the number of repetitions to fracture and the number of vibrations.
The earthquake impact assessment device according to claim 1 or 2.
前記評価部は、前記塑性率と前記許容塑性率とに基づいて前記鋼製部材が地震で受けた影響を評価する、
請求項1または2に記載の地震影響評価装置。 The acquisition unit further acquires an allowable plasticity factor of the steel member,
the evaluation unit evaluates the influence of the earthquake on the steel member based on the plasticity factor and the allowable plasticity factor.
The earthquake impact assessment device according to claim 1 or 2.
前記鋼製部材の塑性化領域の範囲を取得するステップと、
前記塑性化領域の範囲に基づいて地震時の前記鋼製部材の塑性率を演算するステップと、
前記塑性率に基づいて前記鋼製部材が地震で受けた影響を評価するステップと、を含む、
地震影響評価方法。 An earthquake impact assessment method for assessing the impact of an earthquake on steel members constituting a steel-framed building, comprising:
A step of obtaining a range of a plasticized region of the steel member;
calculating a plasticity factor of the steel member during an earthquake based on the range of the plasticized region;
and evaluating the effect of the earthquake on the steel member based on the plasticity factor.
Earthquake impact assessment methods.
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