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地基允許壓力 25  t/
                                                2
                          地基土壤與混凝土間摩擦角為 35˚

                          [解]1.假設斷面如下圖  附 3-2








                                                                                           1.6
                                                                             其中tan  =     = 0.2
                                                                                           8.0
                                                                                    α = 11.3°
                                                                                 ∴ λ = α + δ
                                                                                    β = 15°

                                                                             該混凝土與土壤之摩擦

                                                                             角
                                                                                  2
                                                                             δ = � = 20°
                                                                                  3

                                                                             ∴ λ = 11.3° + 20° =
                                                                             31.3°

                                                                             sin λ = 0.5195
                                                                             cos λ = 0.8545

                                                                             ℎ = sin 15° = 0.26
                                                                               ′


                                圖  附 3-2  半重力式擋土牆示意圖

                          庫倫土壓係數



                                                          2
                                                       (30° − 11.3°)
                       =                                                                      2
                        
                                                                sin(30° + 20°) sin(30° − 15°)
                            cos 11.3° cos(20° + 11.3°) �1 + �                                    �
                                                              cos(20° + 11.3°) cos(15° − 11.3°)
                                                            2
                                                          18.7°
                                     =
                                                                                   2
                                                                   sin 50° sin 15°
                                       cos 11.3° cos 31.3° �1 + �                 �
                                                                 cos 31.3° cos 3.7°

                                                          0.8972
                                      =
                                                                                  2
                                                                0.7660 × 0.2588
                                        0.9806 × 0.8545 �1 + �                   �
                                                                 0.8545 × 0.998


                                                      0.8972
                                         =                             = 0.487
                                            0.9806 × 0.8545 × 2.1972

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