[{"data":1,"prerenderedAt":62},["ShallowReactive",2],{"q-106180-arch_structure-29":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-106180-801-0102-029","architect","106180",106,"建築結構",29,null,"剛架結構受力如下圖，接點 C 之內力矩為多少 kN-m？",{"A":14,"B":15,"C":16,"D":17},"36 6kN B","12 C","24 8m","30 A 6m 6m",[19],"C","single",[22],"\u002Fimages\u002Farch-106180-801-0102-029.png","本題考點：靜定剛架的支承反力與指定斷面的內力矩；從受力較少的一側（CB 段）切開最省事。\n【正解理由】依題圖，A 為鉸支承，B 為放在水平面上的滾支承，只能提供垂直反力；C 點高 8 m，距 A 水平 6 m，CB 為水平桿長 6 m，6 kN 水平力向右作用在 C 點。對 A 取力矩：6 kN 水平力的力臂是垂直高度 8 m，RB 的力臂是水平距離 6 + 6 = 12 m，RB × 12 = 6 × 8，RB = 6 × 8\u002F12（向上）。在 C 點緊鄰處切開取 CB 段，CB 段上只有 RB 一個外力，C 點內力矩 = RB × 6 m = (6 × 8\u002F12) × 6 = 24 kN-m，故選 C。\n【逐項排除】\n(A) 36：等於 6 kN × 6 m，是把水平力乘上水平距離；水平力對某點的力臂應是垂直距離，而且 6 kN 就作用在 C 點，對 C 點本身的力臂為零，不會產生 C 點彎矩。\n(B) 12：只有正確值 24 的一半，與 CB 段由 RB 乘上 6 m 力臂的平衡結果不符。\n(C) 24：正解。由 CB 段平衡，M_C = RB × 6 m。\n(D) 30：比正確值大，與 RB × 6 m 不符；從 AC 段計算也會得到相同的 24 kN-m，不會是 30。\n【演算步驟】\n① ΣMA = 0：RB × 12 m = 6 kN × 8 m → RB = 6 × 8\u002F12 kN（向上）。\n② 取 CB 段自由體：M_C = RB × 6 m。\n③ M_C = (6 × 8\u002F12) kN × 6 m = 24 kN-m。\n【記憶點】求剛架某點彎矩，先求反力，再從外力最少的一側切開；水平力的力臂是垂直距離。",433,1,true,[28,31,34,37,40,43],{"number":29,"session":7,"stem":30},26,"下圖簡支梁之跨度為 L。已知材料之彈性係數為 E，梁斷面之慣性矩為 I。今於跨度中央…",{"number":32,"session":7,"stem":33},27,"下圖之懸臂梁，端點 B 承受一集中載重 P，則 B 點之垂直位移為： PL2",{"number":35,"session":7,"stem":36},28,"桁架結構受力如下圖，桿件 EC 之軸向力為多少 kN？",{"number":38,"session":7,"stem":39},30,"下圖門形構架在 B 點承受一水平載重 P，則下列何處有最大彎矩值？",{"number":41,"session":7,"stem":42},31,"下圖桁架受外力作用之情形如圖所示，則下列有關此桁架的敘述，何者正確？",{"number":44,"session":7,"stem":45},32,"下圖之構架在 B 點受 4 tf-m 力矩作用，令材料性質 EI 為常數，則 BC …",[47,50,53,56,59],{"number":10,"session":48,"stem":49},"114180","依建築物混凝土結構設計規範，進行構材斷面強度設計時，混凝土最外受壓纖維之最大應變假設…",{"number":10,"session":51,"stem":52},"113190","關於預力混凝土梁之敘述，下列何者錯誤？",{"number":10,"session":54,"stem":55},"112190","試分析下圖結構，下列剪力圖與彎矩圖何者正確？ 300 N\u002Fm 800 N A B 6…",{"number":10,"session":57,"stem":58},"111180","如下圖所示之 4 個靜不定剛構架（rigid frame），撓曲剛度（EI）為定值，…",{"number":10,"session":60,"stem":61},"110180","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…",1791863212036]