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Tính toán ổn định uốn dọc mBC"?A"9X)"&'("9g(:"/5w@"(e("9X)"%5>+E"K53"?*/")4/"VC(:"<@.)"H@4"9X)":373"50(" (A1",N")5J")@ỳ"K(:"P@c)"&;(")B1(:")BCM")5h1")>(5")14("/5-+"< )"H@4"/-a(:",X"%54"5103" /]+"<$)"?3y@M"(5-(:")BC"<ẫ("/N")5O"&w"%54"5103"<J"9c)"v(",w(5E"I1",N"(:1A3"<3y/"`3O9")B+" /-a(:",X"/Z("%5'3"`3O9")B+"v(",w(5"@D("Vr/"/]+")BCE"mBC"/A(:"/+1M"<c(",="v(",w(5"@D(" Vr/"/A(:"H@+(")Br(:E"#O")u(:"v(",w(5"@D("Vr/M"/N")5O"Vj(:"&3y("%54%"(5-")u(:"&="VAF" )BC"51L/"Vj(:")BC"`e%E"H3y("(+F")5-a(:"Vj(:"/4/"&3y("%54%":\(",ú(:",O")>(5"v(",w(5" @D("Vr/"/]+")BC"(5-"%5-f(:"%54%"Ơ?h"<A"%5-f(:"%54%"(u(:"? (:E"_4/"%5-f(:"%54%" (AF",=@"&g"H@+")4/"VC(:"/5l(5")5O"/]+")BCE" _6)")BC")5A(5"/4/"&u(:"P1(:"P1(:"<73"9L)"50"?-@",O")>(5")14(M"(5-"<$F"?A")53;("<=" +(")1A(E"V3y/")>(5")14("v(",w(5"@D("Vr/"/N"Ge)",b(")4/"VC(:"/5l(5")5O"/]+")BC"<A"?A"9X)" <c(",="/\(", /"(:53;("/K@":3'3"H@Fb)E" a) Ph-ơng pháp Ơle G3'")53b)"/f"&'(Q"&g"H@+")4/"VC(:"/5l(5")5O"/]+")BCM"/6)"/4/"&u(:")BC"P1(:"P1(:"<73" 9L)"50"?-@",O")>(5")14(E"_13")5+(5"/N",X"VAF"`5d(:",v3M"?cF"&8(:",X"VAF")B@(:"&J(5M"<A" :3'",w(5")1A("&X")'3")Br(:",=@")$%")B@(:"?;(",l(5")5+(5")BCE" I*+"<A1"%5-f(:")BJ(5"<3"%5k("/f"&'("/]+")5+(5"@D("Vr/")+")J9", /")'3")Br(:":373" 50(Q" [...]... b)] (- sin j + 3 sin 3j) ỳ -2 ỳ3 - 4 cos 2( a + b) + cos 4( a + b) ỳ ỷ ộ[3 sin 3(a + b) - sin(a + b)](cos j - cos 3j) r - d B g b cos b ờ + 2 3 - 4 cos 2( a + b) + cos 4( a + b) ở + [cos 3(a + b) - cos(a + b)] (- sin j + 3 sin 3j ự ỳ+ 3 - 4 cos 2( a + b) + cos 4( a + b) ỷ 181 1 82 sổ tay KTTL * Phần 2 - công trình thủy lợi * Tập 2 + r2 dH -dB 1 ộ1 g b ờ sin 2( a - j) - sin 2a cos 4j + 4H 2 2 ộ sin 2a [-3 sin 2( a... )sin2( + ) 1 - cos2( + ) - ( + )sin2( + ) 1 - cos2( + ) f 2 (a + b) = 1 - cos2( + ) - ( + )sin2( + ) 1 - cos4( + ) f3 (a + b) = 3 - 4cos2( + ) + cos 4( + ) cos(a + b) - cos3( + ) f 4 (a + b) = 3 - 4cos2( + ) + cos 4( + ) 2[ 1 - cos2( + )] f5 (a + b) = 3 - 4cos2( + ) + cos 4( + ) 3sin2(a + b) - sin6(a + b) f 6 (a + b) = 8 - 9cos2( + ) + cos 6( + ) 2[ 2sin2(a + b) - sin4(a + b)] f 7 (a + b) = 8 - 9cos2( + )... j) 3 - 4 cos 2( a + b) + cos 4( a + b) ỷ + r2 + dH -dB ổ sin 2a [-3 sin 2( a + b) + sin 6(a + b)] ộ1 g b ờ + sin 2a sin 4j +ỗ ỗ 8 - 9 cos 2( a + b) + cos 6(a + b) 4H 2 ố 2 sin 2b [2 sin 2( a + b) - sin 4( a + b)] ử ữ(cos 2j - cos 4j) 8 - 9 cos 2( a + b) + cos 6(a + b) ữ ứ ổ ộ 3 1 ự ỗ 2 - 2 cos 2( a + b) - 2 cos 6(a + b)ỳ ỗ ỷ ở + ỗ sin 2a 8 - 9 cos 2( a + b) + cos 6(a + b) ỗ ỗ ố + ự - 2 sin 2b[cos 2( a + b) - cos... 2( a + b) + cos 6(a + b) ổ ộ 3 1 ự ỗ 2 - 2 cos 2( a + b) - 2 cos 6(a + b)ỳ ỗ ỷ + ỗ sin 2a ở 8 - 9 cos 2( a + b) + cos 6(a + b) ỗ ỗ ố + ự - 2 sin 2b[cos 2( a + b) - cos 4( a + b) ử ữ sin 4jỳ 8 - 9 cos 2( a + b) + cos 6(a + b) ữ ứ ỷ 1 ộ 1 ự ờ 2 [1 - cos 2( a + b](1 - cos 2j) - 2 sin 2( a + b)(2j - sin 2j) ỳ Sj = FB gbsina ờ1 + ỳ+ (a + b) sin 2( a + b) - 1 + cos 2( a + b) ờ ỳ ờ ỳ ở ỷ +r( FH - FB gb sina + lg -. .. sin 2( a + b) + sin 6(a + b)] +ờ + ở 8 - 9 cos 2( a + b) + cos 6(a + b) + 2 sin 2b [2 sin 2( a + b) - sin 4( a + b)] ựổ 1 ử ỳỗ 2 sin 2j - sin 4j ữ 8 - 9 cos 2( a + b) + cos 6(a + b) ỷố ứ ổ ộ 3 1 ự ỗ 2 - 2 cos 2( a + b) - 2 cos 6(a + b)ỳ ỗ ỷ - ỗ sin 2a ở 8 - 9 cos 2( a + b) + cos 6(a + b) ỗ ỗ ố - ự 2 sin 2b[cos 2( a + b) - cos 4( a + b) ử ữ(cos 2j - cos 4j)ỳ ữ 8 - 9 cos 2( a + b) + cos 6(a + b) ứ ỷ Sau khi tìm... cos 2j) - 1 sin 2( a + b)(2j + sin 2j) ự ờ ỳ 2 Sr = FBgb sina ờ1 + 2 ỳ(a + b) sin 2( a + b) - 1 + cos 2( a + b) ờ ỳ ờ ỳ ở ỷ FH - FB gb sina + lg - dBgb) cosa H ộ ộ 1 ự ờ ờsin 2( a + b) + 2 sin 4( a + b)ỳ (sin j + sin 3j) ỷ ờcos 3j - ở ờ 3 - 4 cos 2( a + b) + cos 4( a + b) ờ ở -r( 180 sổ tay KTTL * Phần 2 - công trình thủy lợi * Tập 2 1 ự [1 - 2 cos 2( a + b) + cos 4( a + b)](cos j + 3 cos 3j) ỳ -2 ỳ+ 3 - 4. .. bảng 4- 4 để xác định các trị số f1(a + b) 1 84 sổ tay KTTL * Phần 2 - công trình thủy lợi * Tập 2 Bảng 4- 4 Bảng tra trị số (a + b) và các thông số f1, f2, , f7 (a + b) 0 45 500 550 600 650 700 f1(a+ b) f2(a + b) f3(a + b) f4(a + b) f5(a + b) f6(a + b) f7(a + b) 3.66 2. 73 2. 12 1.53 1. 12 0.80 4. 66 3.73 3. 12 2.53 2. 12 1.80 1.000 0.7 04 0 .49 0 0.333 0 .21 7 0.1 32 0.707 0. 547 0. 42 7 0.333 0 .25 7 0.193 1.000 0.8 52. .. 2 1 ả 1 2 ỗ 2 + + ỗ ảr r ảr r 2 ảj 2 ố ửổ ả 2 F 1 ảF 1 ả 2 F ử ữ=0 ữỗ 2 + + ữỗ ảr r ảr r 2 ảj 2 ữ ứ ứố (4 -2 7 ) trong đó hàm số ứng suất F(r,j) có dạng: ỹ ù ù ù (4 -2 8 ) ý ù 1 1 1 ộ1 ựù + r 4 ờ C1 cos 4j + C 2 sin 4j + C3 cos 2j + C 4 sin 2jỳ ù 12 3 3 ở 12 ỷỵ trong đó a1, a2, a3, a4, b1, b2, b3, b4, C1, C2, C3, C4 là những hằng số sẽ được xác định bằng điều kiện biên Thay trị số F của công thức (4 -2 8 )... cos 2( a + b) + cos 4( a + b) ỳ ỳ ỷ ộ[3 sin 3(a + b) - sin(a + b)](sin j + sin 3j) r + + d B gb cosb ờ 2 3 - 4 cos 2( a + b) + cos 4( a + b) ở + [cos 3(a + b) - cos(a + b)](cos j + 3 cos 3j ự ỳ + gb rdBcos(a-j) 3 - 4 cos 2( a + b) + cos 4( a + b) ỷ + r2 + dH -dB 1 2 g b ờ + cos 2( a - j) + sin 2a sin 4j + 4H 2 ở3 sin 2a [-3 sin 2( a + b) + sin 6(a + b)] + 2 sin 2b [2 sin 2( a + b) - sin 4( a + b)] cos 4j 8 - 9... cos 4( a + b) ử ữ (2 sin 2j - sin 4j)ỳ 8 - 9 cos 2( a + b) + cos 6(a + b) ữ ứ ỷ 1 ộ1 ự ờ 2 sin 2( a + b)(1 - cos 2j) - 2 [1 - cos 2( a + b)] sin 2j ỳ t= FBgb sina ờ ỳ+ (a + b) sin 2( a + b) - 1 + cos 2( a + b) ờ ỳ ở ỷ +r( FH - FB g b sina + lg - dBgb) cosa H ộ ộ 1 ự ờ ờsin 2( a + b) + 2 sin 4( a + b)ỳ (cos j - cos 3j) ỷ ở ờsin 3j ờ 3 - 4 cos 2( a + b) + cos 4( a + b) ờ ờ ở 1 ự [1 - 2 cos 2( a + b) + cos 4( a . " ũũ = ỳ ỷ ự ờ ở ộ = HH VG VG )GFV EJVG EJ s 0 2 2 2 0 2 ).( 2 1 2 1 =" [ ] ũ w H VGGFEJ) 0 2 2 )("sin 2 1 " H X Y 45 #6$7897 A - Đập bê tông và bê tông cốt. "STU!W" mBw"PD"/]+"Y")B+"5J(5"TU9M")B1(:",N")Bw"PD"x"/N")5O")>(5")5h1"/d(:")5K/Q" " '' H1 '' cp1 cp1H1 1 1 NN4 )"N2"N (4 q q - - =x "STU6W" q x 10.0 1.0 5.0 15.0 25 .0 20 .0 d H y B d x = 0 . 5 Q = y 2. 0 3.0 kp 4. 0 cp 2 EJ l x