[{"data":1,"prerenderedAt":63},["ShallowReactive",2],{"q-111180-arch_structure-24":3},{"question":4,"neighbors":28,"sameNumber":47,"prev":36,"next":39},{"id":5,"classKey":6,"session":7,"year":8,"subject":9,"number":10,"groupStem":11,"ownStem":12,"stem":12,"options":13,"answer":18,"answerKind":19,"answerS":20,"answerNote":21,"images":22,"explanation":24,"withheld":11,"deepChars":25,"freq":26,"indexable":27},"arch-111180-801-0102-024","architect","111180",111,"建築結構",24,null,"如圖所示桿件受軸向外力作用，F1 = 100 kN，F2 = 500 kN，則 A、B 處反力大小為何？ 1m 2.5 m 4m 2.5 m",{"A":14,"B":15,"C":16,"D":17},"RA = 250 kN, RB = 350 kN","RA = 270 kN, RB = 330 kN","RA = 290 kN, RB = 310 kN","RA = 350 kN, RB = 250 kN",[],"all","B","第24題一律給分",[23],"\u002Fimages\u002Farch-111180-801-0102-024.png","本題考點：兩端固定的軸力桿屬一次靜不定，單靠力平衡只能得到 RA + RB = F1 + F2，必須再加「總伸長量為零」的變形諧和條件；以疊加法表示時，單一軸力 F 作用在距 A 端 a、距 B 端 b 處，RA = F × b \u002F L、RB = F × a \u002F L。\n【正解理由】考選部公告本題一律給分，以下照題圖條件說明各選項的計算事實。依題圖，F1 作用點距 A 端 1 m、距 B 端 4 m；F2 位於右側尺寸線 2.5 m 與 2.5 m 的分界處，距 A、B 兩端各 2.5 m；全長 L = 1 + 4 = 5 m，題圖桿件畫為等寬，以全長斷面與材料一致計算。兩力皆向下，各自單獨作用時，作用點以上一段受拉、以下一段受壓，兩段伸長量相加須為零，因此較短的一段分擔較多。疊加兩力：RA = 100 × 4 \u002F 5 + 500 × 2.5 \u002F 5 = 80 + 250 = 330 kN；RB = 100 × 1 \u002F 5 + 500 × 2.5 \u002F 5 = 20 + 250 = 270 kN；檢核 RA + RB = 600 kN = F1 + F2。各選項依這組數值逐一比對。考選部公告本題一律給分。\n【逐項排除】\n(A) RA = 250 kN、RB = 350 kN：兩者合計 600 kN，滿足力平衡；與依變形諧和算得的 RA = 330 kN、RB = 270 kN 相比，兩個數值都不同，且本選項是 B 端較大，與計算所得 A 端較大的大小關係相反。\n(B) RA = 270 kN、RB = 330 kN：兩者合計 600 kN，滿足力平衡；兩個數值與計算結果相同，但分配的端點互換——計算所得 A 端為 330 kN、B 端為 270 kN，本選項則把 270 kN 列在 A 端、330 kN 列在 B 端。\n(C) RA = 290 kN、RB = 310 kN：兩者合計 600 kN，滿足力平衡；與計算所得 RA = 330 kN、RB = 270 kN 數值不同，且本選項 B 端較大，與計算所得的大小關係相反。\n(D) RA = 350 kN、RB = 250 kN：兩者合計 600 kN，滿足力平衡；本選項 A 端較大，與計算所得的大小關係方向相同，但數值與計算所得 RA = 330 kN、RB = 270 kN 不同。\n四個選項都滿足 RA + RB = 600 kN，可見單憑平衡方程式無法區分，必須用變形諧和條件求出分配比例。\n【演算步驟】\n全長：L = 1 m + 4 m = 5 m\nF1 單獨作用：RA = 100 kN × 4 m \u002F 5 m = 80 kN；RB = 100 kN × 1 m \u002F 5 m = 20 kN\nF2 單獨作用：RA = RB = 500 kN × 2.5 m \u002F 5 m = 250 kN\n疊加：RA = 80 kN + 250 kN = 330 kN；RB = 20 kN + 250 kN = 270 kN\n檢核：RA + RB = 330 kN + 270 kN = 600 kN = 100 kN + 500 kN\n【記憶點】兩端固定桿受軸力，反力按「到對側端點的距離」比例分配：力離哪一端近，哪一端分得多。",652,1,true,[29,32,35,38,41,44],{"number":30,"session":7,"stem":31},21,"下圖之實線為混凝土的應力-應變曲線，圖中 A 線為通過原點的初始切線剛度，B、C、D…",{"number":33,"session":7,"stem":34},22,"有關建築物耐風設計規範的要求，下列敘述何者錯誤？",{"number":36,"session":7,"stem":37},23,"受均佈載重 w 之梁結構如下圖所示，A 為鉸支承（hinge），B 為滾動支承（ro…",{"number":39,"session":7,"stem":40},25,"三層構架如圖所示，假設質量僅分布於梁構件，那些變更會延長其基本振動週期？①增加柱斷面…",{"number":42,"session":7,"stem":43},26,"試分析下圖桁架結構，下列選項何者正確（T 為張力，C 為壓力）？ 10 m 10 m…",{"number":45,"session":7,"stem":46},27,"一桁架之載重如下圖所示，下列敘述何者錯誤？ 40 kN 3m 40 kN 3m 4m",[48,51,54,57,60],{"number":10,"session":49,"stem":50},"114180","下圖框架之 A 點彎矩為何？ D 1 1 1 1",{"number":10,"session":52,"stem":53},"113190","在靜態條件下，擋土牆可能之破壞型式不包括下列何者？",{"number":10,"session":55,"stem":56},"112190","桁架於 E 點受力 P，DF 軸力為何？ B D F H A C E G G P",{"number":10,"session":58,"stem":59},"110180","建築結構之樓地版設計活載重，依據規範下列何種用途類別的單位面積活載重最高？",{"number":10,"session":61,"stem":62},"109180","如圖示，AC 及 BC 均為曲梁，A、B 為鉸支承，C 為鉸接，下列有關支承反力敘述…",1791863202060]