ĐẶC TRƯNG HÌNH HỌC CỦA MẶT CẮT NGANG pptx

... 4R2JJJ4pyxπ=== Hình 5.5 x y bdy h/2 y h a)b) b ydy y h Hình 5.6b)D d y x dρ ρ y xRDa)- 50 -Chương 5ĐẶC TRƯNG HÌNH HỌC CỦA MẶT CẮT NGANG 5.1. Khái niệm chung ... Giao điểm của 2 trục trung tâm gọi là trọng tâm của mặt cắt .Gọi xc , yc là toạ độ trọng tâm của 1 hình, ta có : Sx = F.yc , Sy = F.xc( với F là diện tích mặt cắt ngang ) Hình 5.1 ... những đặc trưng hình học của mặt cắt được nghiên cứu sau đây:.5.2. Momen tĩnh: 5.2.1. Momen tĩnh đối với 1 trục:Định nghĩa : ∫∫==FyFxxdFS;ydFSSx , Sy là moment tĩnh của diện tích mặt...

... Chương 6: Đặc trưng hình học của mặt cắt ngang 2 Xét một hình phẳng biểu diễn mặt cắt ngang F ( mặt cắt F ) như trên H.6.2. Lập một hệ tọa độ vuông góc Oxy trong mặt phẳng của mặt cắt. M(x,y) ... _________________________________________________________________ Chương 6: Đặc trưng hình học của mặt cắt ngang 1 Chương 6 ĐẶC TRƯNG HÌNH HỌC CỦA MẶT CẮT NGANG 6.1 KHÁI NIỆM Ở chương 3, khi tính độ bền của thanh chịu kéo (nén) đúng ... vào hình dáng, cách bố trí mặt cắt nghóa còn những yếu tố khác mà người ta gọi chung là đặc trưng hình học của mặt cắt ngang. Xét thanh chịu uốn trong hai trường hợp mặt cắt...

... Đặc tr-ng hình học của mặt cắt ngang Trong ch-ơng kéo nén đúng tâm, ta đà biết khả năng chịu lực của mặt cắt ngang chỉ phụ thuộc vào diện tích của mặt cắt ngang mà không phụ thuộc vào hình ... Jp=Jđăc-Jrỗng=0.1D4(1-4) 3 Các phép biến đổi hệ trục toạ độ Hầu hết các mặt cắt ngang ngoài thực tế đều là các hình ghép bởi các hình đơn giản, cho nên khi chuyển về hệ trục toạ độ chung ta phải ... công thức xác định mô men tĩnh của hình phẳng và đồng thời cũng là công thức xác định trong tâm của hình phẳng khi biết mmô men tĩnh và diện tích. Trong tr-ờng hợp hình phẳng bao gồm các hính...

... hình dáng) Hình 4.10Chơng 4. Đặc trng hình học của mặt cắt ngang Các thuyết bền 27Chơng 4. đặc trng hình học của mặt cắt ngang - Các thuyết bền A. Đặc trng hình học của mặt cắt ... bn c vit l: Chơng 4. Đặc trng hình học của mặt cắt ngang Các thuyết bền 30 =xyxy2JtgJJ (4.11) VI. Mômen quán tính của một số mặt cắt ngang 1. Hình chữ nhật (hình 4.6) Hệ trục đối ... (m3) (4.2) Hình 4.2 Hình 4.1 a)c)b)4a4a a 0,7D D da PP Chơng 4. Đặc trng hình học của mặt cắt ngang Các thuyết bền 33l những giả thuyết về nguyên nhân phá hoại của vật liệu,...

... )442424444a8510a65382a124a17a322a17a32J..'=+−±+=BTrọng tâm mặt cắt ==FSyFSxxCyCBAE5F%GHJj; /:<61a17a32a12x2JJJ22444YXXY....

... trung tâm 4. Trọng tâm mặt cắt ngang III. MOMEN QUÁN TÍNH CỦA MẶT CẮT NGANG IV. MOMEN QUÁN TÍNH CỦA MỘT SỐ MẶT CẮT NGANG 1. Xác định momen quán tính của mặt cắt ngang hình chữ nhật đối với ... dương của các đại lượngĠgọi là bán kính quán tính của mặt cắt đối với các trục tương ứng CHƯƠNG 5 ÐẶC TRƯNG HÌNH HỌC CỦA MẶT CẮT NGANG I. KHÁI NIỆM II. MOMEN TĨNH CỦA MẶT CẮT NGANG ... trưng cho hình dạng của mặt cắt ngang về hình học. Ðó là momen tĩnh và momen quán tính. II- MOMEN TĨNH CỦA MẶT CẮT NGANG 1. Momen tĩnh đối với một trục TOPTa gọi momen tĩnh của mặt cắt ngang...

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... Xét mặt cắt ngang có diện tích A . Tại điểm M(x,y) thuộc mặt cắt ngang lấy vi phân diện tích Da. a. Mô men tĩnh của mặt cắt ngang A đối với trục Ox: (4.1) Mô men tĩnh của mặt cắt ngang ... giá trị âm. 4.1.4. Công thức chuyển trục song song Mặt cắt ngang ngang A trong hệ trục ban đầu Oxy có các đặc trưng hình học mặt cắt ngang là Sx, Sy, Ix, Iy, Ixy. Hệ trục mới O'uv ... diện tích mặt cắt ngang đối với nó bằng 0. 4. Hệ trục quán tính chính trung tâm của diện tích mặt cắt ngang: là hệ trục quán tính chính, có gốc tọa độ trùng với trọng tâm mặt cắt ngang. 4.1.3....

... lớn phụthuộc vào hình dạng, kích thước của mặt cắt ngang - đặc trưng hình học của mặt cắt ngang FyxzyxzF University of ArchitechtureChương 4ĐẶC TRƯNG HÌNH HỌC MẶT CẮT NGANG ... tích mặt cắt ngang • Thanh tiết diện chữ nhật khả năng chịu lực theo hai phương x, y khác nhau• Khả năng chịu lực của thanh phụthuộc vào diện tích, hình dáng,cách sắp xếp, của mặt cắt ngang • ... 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4. Đặc trưng hình học của mặt cắt ngang 4.1. Khái niệm chung4.2. Mômen tĩnh và các mô men quán tính4.3. Mô men quán tính một số hình đơn giản4.4. Công thức chuyển...

... vào hình dạng, kích thướccủamặtcắt ngang - đặctrưng hình họccủamặtcắt ngang FyxzyxzF(5)25July 2010Tran Minh Tu - University of Civil Engineering 4.1. Khái niệm chung Hình dạng các mặt ... dụ4.6.1. Cho mặtcắt ngang có hình dạng và kích thướcnhư hình vẽ.Xác định các mô men quán tínhchính trung tâm củamặtcắt ngang Giải: Chọn hệ trụctoạ độ ban đầux0y0như hình vẽ. Chia mặtcắt ngang làm ... có gốc tọa độ trùng vớitrọng tâm mặt cắt ngang. Hệ trục quántính chính của diện tích mặt cắt ngang: làhệ trục mà mô men quántính ly tâm của diện tích mặt cắt ngang đối với nó bằng 0.()xyAI...