[{"data":1,"prerenderedAt":62},["ShallowReactive",2],{"q-110180-arch_structure-31":3},{"question":4,"neighbors":27,"sameNumber":46,"prev":35,"next":38},{"id":5,"classKey":6,"session":7,"year":8,"subject":9,"number":10,"groupStem":11,"ownStem":12,"stem":12,"options":13,"answer":18,"answerKind":20,"answerS":11,"answerNote":11,"images":21,"explanation":23,"withheld":11,"deepChars":24,"freq":25,"indexable":26},"arch-110180-801-0102-031","architect","110180",110,"建築結構",31,null,"原有一剛構架進行耐震補強，在兩側增設圖示之桿件，其中 A、D 為固端，B、C 為鉸接。請問原本之構架在補強後，靜不定度增加了多少？",{"A":14,"B":15,"C":16,"D":17},"2","4","6","8",[19],"B","single",[22],"\u002Fimages\u002Farch-110180-801-0102-031.png","本題考點：以「封閉迴圈法」計算剛構架靜不定度——每一個封閉迴圈提供 3 次靜不定，每一個連接兩根桿件的鉸釋放 1 次。\n【正解理由】依題圖所示，原有剛構架兩柱腳固定於地面，梁柱剛接，構架與地面圍成 1 個封閉迴圈，靜不定度為 3 × 1 = 3。補強後兩側各增設一根折桿：下端 A、D 為固端，上端以鉸 B、C 接到原構架的梁柱接頭。每加一根，就與原構架、地面再圍成一個新的封閉迴圈，總迴圈數成為 3；B、C 兩個鉸各連接兩根桿件，各釋放 1 個彎矩約束。補強後靜不定度 = 3 × 3 − 2 = 7，增加量 = 7 − 3 = 4。也可以逐側看：每側新增一個封閉迴圈加 3、鉸釋放 1，淨增 3 − 1 = 2，兩側合計 (3 − 1) × 2 = 4，故選 B。\n【逐項排除】\n(A) 不符。增加 2 只算到單側補強的淨增量 3 − 1 = 2；題目在兩側都增設桿件，兩側各增加 2，合計為 4。\n(B) 符合。兩側各形成一個新封閉迴圈（各加 3），B、C 兩個鉸各釋放 1，淨增 4。\n(C) 不符。增加 6 是把 B、C 當成剛接，只算兩個新迴圈 3 × 2 = 6，卻漏扣兩個鉸的釋放；題目明示 B、C 為鉸接，每個鉸要扣 1。\n(D) 不符。增加 8 與正確結果不符；新增的固端支承已隱含在「新封閉迴圈加 3」之中，不能再另外加計固端反力，也不能少扣鉸的釋放。\n【演算步驟】\n原構架：靜不定度 = 3 × 迴圈數 = 3 × 1 = 3\n補強後：靜不定度 = 3 × 迴圈數 − 鉸釋放數 = 3 × 3 − 2 = 7\n增加量 = 7 − 3 = 4\n逐側驗算：每側淨增 3 − 1 = 2，兩側 (3 − 1) × 2 = 4\n【記憶點】封閉迴圈一個加 3、連接兩桿的鉸一個減 1；地面本身算成一根桿件，固端支承會把桿件與地面圍成迴圈。",540,1,true,[28,31,34,37,40,43],{"number":29,"session":7,"stem":30},28,"下列圖示的梁柱構架系統，在地震橫力作用下，地面層何處梁段較容易因地震而造成剪力破壞？…",{"number":32,"session":7,"stem":33},29,"我國交通部中央氣象局於 109 年施行新的地震震度分級制度，讓地震震度分布與災害位置…",{"number":35,"session":7,"stem":36},30,"無梁版系統在我國較少應用於上部結構，大多僅應用在地下室結構，下列敘述何者錯誤？",{"number":38,"session":7,"stem":39},32,"圖示桁架結構在 F、E 點受力分別為 P1 = 10 kN 及 P2 = 15 kN…",{"number":41,"session":7,"stem":42},33,"有一簡支梁承受均布載重如圖所示，若梁自重不計，下列何者所得之最大正彎矩值與此梁相同？",{"number":44,"session":7,"stem":45},34,"圖中構架 ABCD 之 A 點固端彎矩為何？ 3m 2 kN 4m 10 kN-m …",[47,50,53,56,59],{"number":10,"session":48,"stem":49},"114180","有關鋼筋混凝土結構設計概念，下列敘述何者較不適當？",{"number":10,"session":51,"stem":52},"113190","關於鋼筋混凝土結構之敘述，下列何者錯誤？",{"number":10,"session":54,"stem":55},"112190","如下圖所示的三鉸式剛構架，A、E 為鉸支承，C 為鉸接。此剛構架於 B 點承受 6 …",{"number":10,"session":57,"stem":58},"111180","下列何者有利於鋼筋混凝土梁受彎之韌性行為？",{"number":10,"session":60,"stem":61},"109180","如下圖之梁結構，兩側懸臂端在集中力 P 作用下，下列敘述何者正確？",1791863205087]