GVHD: Lê Thị Bích Thủy Đồ án cầu bê tơng SVTH: Bùi Cơng Danh 81100487 31 CHƯƠNG IV DẦM NGANG 1. GIẢ THUYẾT TÍNH TOÁN Dầm ngang làm việc như một dầm hai đầu ngàm chòu uốn dưới tác dụng của lực thẳng đứng Để tính dầm ngang ta đi xác đònh lực từ bản mặt cầu truyền xuống Khẩu độ tính toán của dầm ngang là khoảng cách tim giữa hai dầm chủ 2. TẢI TRỌNG TÁC DỤNG LÊN DẦM NGANG Vì khoảng cách giữa hai dầm ngang, L = 36.3m > 1800 mm, sự phân bố tải trọng cho dầm ngang được tính theo phương pháp đòn bẩy 2.1 Xác đònh phản lực từ bản mặt cầu truyền xuống dầm ngang a. Tónh tải o Bản mặt cầu : 1 . . 25 0.18 0.675 3.038 / ban b f DC h L kN m o Lớp phủ mặt cầu có chiều dày trung bình h cm , cm 1 . . (22.5 0.075 0.005 18.5) 0.675 1.202 / cm cm DW h L kN m Bản thân dầm ngang 1350 1020 725 75 100 800 800 800 . 0.8 0.8 25 1.6 / dd DC A kN m b. Phản lực truyền xuống dầm ngang do hoạt tải Sơ đồ tính: GVHD: Lê Thị Bích Thủy Đồ án cầu bê tơng SVTH: Bùi Cơng Danh 81100487 32 110/2 110/2 1200 1350 145/2 1 0.11 - Phản lực do tải trọng làn : 1.35 1 9.3 9.3 6.278 2 lan R kN Theo phương ngang cầu, tải trọng làn được giả thiết chiếm chiều rộng 3 m của một làn xe Phản lực tải trọng làn ở dạng phân bố đều theo phương ngang cầu là : 6.278 2.093 / 3 lan R kN m - Phản lực do dãy bánh xe tải thiết kế : kNxyPR i tr iK 5.721 2 145 - Phản lực do dãy bánh xe hai trục thiết kế : 110 1 0.11 61.05 2 ta m i i R P y kN R = max(R k ;R m ) = 72.5 kN 2.2 Xác đònh nội lực trong dầm ngang a. Moment ở nhòp và gối: Các trường hợp xếp tải : o Trường hợp 1 (m = 1.2) GVHD: Lê Thị Bích Thủy Đồ án cầu bê tơng SVTH: Bùi Cơng Danh 81100487 33 1350 R lan DAH M 0.3375 R o Trường hợp 2 (m = 1) 1350 R lan DAH M 0.3375 RR 1200 0.0375 0.0375 Diện tích đường ảnh hưởng : 0.228 m 2 Momen do tónh tải : - Lớp phủ : . 1.202 0.228 0.274 . DW M DW kN m - Bản mặt cầu : . 3.308 0.228 0.754 . DCb b M DC kN m - Dầm ngang : . 1.6 0.228 0.365 . DCd d M DC kN m Momen do hoạt tải : - Tải trọng làn : 2.093 0.228 0.477 . L lan M R kN m - Hoạt tải xe : o Trường hợp 1 : 72.5 0.3375 24.469 . tr ki M R y kN m o Trường hợp 2 : GVHD: Lê Thị Bích Thủy Đồ án cầu bê tơng SVTH: Bùi Cơng Danh 81100487 34 72.5 2 0.0375 5.438 . tr i M R y kN m Tổ hợp momen taiï mặt cắt giữa nhòp theo trạng thái giới hạn cường độ I : Trường hợp 1: 12 ( ) 1 100 O p DCab DCd p DW n L IM M M M M m M M 25 1 1.25(0.754 0.365) 1.5 0.274 1.2 1.75 1 24.469 0.477 100 O M = 83.454 kNm Trường hợp 2: 12 ( ) 1 100 O p DCab DCd p DW n L IM M M M M m M M 25 1 1.25(0.754 0.365) 1.5 0.274 1.2 1.75 1 5.438 0.477 100 O M = 21.008 kNm M o = 83.454 kNm M o + = 0.5M o = 0.5 x 83.454 = 41.727 kNm M o - = 0.8M o = -66.763 kNm b. Tính lực cắt: 1350 R lan DAH V R 1.000 Diện tích đường ảnh hưởng : 0.675 m 2 GVHD: Lê Thị Bích Thủy Đồ án cầu bê tơng SVTH: Bùi Cơng Danh 81100487 35 Lực cắt do tónh tải : - Lớp phủ : . 1.202 0.675 0.811 DW V DW kN - Bản mặt cầu : . 3.308 0.675 2.233 DCb b V DC kN - Dầm ngang : . 1.6 0.675 1.08 DCd d V DC kN Lực cắt do hoạt tải : - Tải trọng làn : 2.093 0.675 1.413 L làn V R kN - Hoạt tải xe : 72.5 1 72.5 tr i V R y kN Tổ hợp lực cắt taiï mặt cắt ngàm theo trạng thái giới hạn cường độ I : 1.75 1 1.75 1.5 1.25 100 ngàm L DW DCb DCd IM V m V V V V V 25 1.2 1.75 1 72.5 1.75 1.413 1.5 0.811 1.25 2.233 1.08 100 ngàm V = 198.638 kN Bảng tổng hợp tổ hợp nội lực dầm ngang theo trạng thái giới hạn cường độ I M giữa (kN.m) M ngàm (kN.m) V ngàm (kN) 41.727 66.763 198.638 3. TÍNH TOÁN CỐT THÉP VÀ KIỂM TOÁN DẦM NGANG THEO THGH CƯỜNG ĐỘ I - Chọn cốt thép 20 để bố trí thớ trên và thớ dưới. diện tích cốt thép A 1s = 314.159mm 2 - Cốt thép G60 có f y = 420 Mpa - Cấp bê tông : ' c f = 40 MPa - Chọn lớp bê tông bảo vệ thớ trên và thớ dưới là 50 mm 3.1 Xét mặt cắt giữa nhòp a. Tính toán cốt thép : - Hệ số sức kháng uốn 2 ef u n bd M R Trong đó: d e = d s = 800 – 50 – 9 = 740 mm = 0.74m ( khoảng cách hữu hiệu tương ứng từ thơ . 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. 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