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跨 内计算简图 + (×+×)×62=m2 (×+×)×62= kN·m/m +×=·m/m +×= kN·m/m + (×+×)×= kN/m2 (×+×)×= kN·m/m +×=·m/m +×=·m/m ??0mx my ??0.2 mx(u) m(yu) 支计算简图 ××= ·m/m ××= kN·m/m mx1my1 座 ××62=m2 ××62=m2 支座处的弯矩 A—B支座 mx??(?19.9?17)??18.4 kN·m/m
12挠度验算
(1)短边方向
C?20mm 已知:Mkmax?7790000N·m , ftk?2.01N/mm2,ES?2.0?105N/mm2,
Ec?3.0?104N/mm2
E?E?S?6.67,AS?419mm2,??2 ,h0?100mm
ECA419??S??0.0042,
bh01000?100?sk
Mk7.79?106???213 0.87h0AS0.87?100?419
11200?103?604?1002B?Bs???9.9?1011221.15?0.2?0.2?6?6.67?0.0042l05MKl0257.79?106?60002???29.7mm??30mm 符合要求。 1148B489.9?10200(2)长边方向
已知:Mymax?4370000N.m ,ftk?2.01N/mm2,ES?2.0?105N/mm2,
Ec?3.0?104N/mm2。?E?,??2 ,h0?100mm
ES?6.67,AS?419mm2 ECAS419??0.0042, bh01000?100??0.2
??11200?103?419?1002B?Bs????9.9?1011221.15?0.2?0.2?6?6.67?0.0042l05MKl0254.37?106?80002???29.42mm??40mm符合要求。 1148B489.9?10200A— B支座
已知:Mymax?14940000N.m ,ftk?2.01N/mm2,ES?2.0?105N/mm2,
Ec?3.0?104N/mm2。
E?E?S?6.67,AS?942mm2,??2 ,h0?100mm
ECA419??S??0.0042,
bh01000?100??0.64 11200?103?942?1002B?Bs????7.8?1011221.15?0.64?0.2?6?6.67?0.009l05MKl02514.94?106?30002???20mm??30mm符合要求。 1148B487.8?10200
6支承梁的验算
长边方向支承梁的验算
(1)荷载计算
恒荷载标准值:g=÷= kN/m 活荷载标准值:q=÷×=kN/m (2)弯矩计算
支座最大弯矩值 :
Mmax??0.105?11.72?2?7.942?0.119?8.35?2?7.942??280.45kN/m 跨中最大弯矩为:
Mmax?0.033?11.72?2?7.942?0.119?8.35?2?7.942?131.94kN/m 边跨最大弯矩为:
Mmax?0.078?11.72?2?7.942?0.098?8.35?2?7.942?218.44kN/m (3)梁裂缝宽度验算 跨中裂缝验算
已知b?h?300mm?500mm,c?35mm,ftk?2.01N/mm2, ?lim?0.2mm
Mmax?131.94kN?m,,As?1609mm2,h0?460mm。 ?te?0.02
deq??nid2i?nidi?32mm vi?1.0
Mk131.94?106 ?s???205N/mm2
0.87hoAs0.87?460?1609f0.65?2.01 ??1.1?0.65tk?1.1??0.78
?te?s0.02?205?max??cr??sEs(1.9cs?0.08dep?te)
20532?(1.9?25?0.08?) 3200?100.02 ?0.195mm??lim?0.2mm 满足要求
?1.9?0.78?支座处裂缝验算
已知c?35mm,ftk?2.01N/mm2,h0?460mm,
Mmax?280.45kN?m,?lim?0.2mm,A2s?3217mm ?te?0.04
ddeq??nii2?n?32mm vi?1.0
idiM6 ?k280.45?10s?0.87h??218N/mm2
oAs0.87?460?3217 ??1.1?0.65ftk0.65?2.01???1.1??0.95
tes0.04?218 ?max??cr??sE(1.9cs?0.08dep)
s?te ?1.9?0.95?218200?103?(1.9?35?0.08?320.04)
?0.192mm??lim?0.2mm 满足要求
边跨裂缝验算
已知c?35mm,ftk?2.01N/mm2,h0?460mm, Mmax?218.44kN?m,?lim?0.2mm, As?2841mm2
deq??nidi2?nmm vi?1.0
id?30i?Mk218.44?106 s?0.87hA??192N/mm2
os0.87?460?2841 ??1.1?0.65ftk??1.1?0.65?2.01?192?0.93
te?s0.04 ?max??cr??sE(1.9cs?0.08deps?)
te ?1.9?0.93?192200?103?(1.9?35?0.08?300.04) ?0.2mm??lim?0.2mm 符合要求
(4)梁挠度变形验算 跨中挠度
已知:ftk?2.01N/mm2,ES?200?103N/mm2,?ESE?E?6.67,AS?1609mm2,??2 ,h0?460mm。C??ASbh?1609?0.01,
0300?460 ??0.78
?te?0.04
Ec?30?103N/mm2,
ESASh02200?103?1609?4602BS???4.5?10131.15??0.2?6?E?1.15?0.78?0.2?6?6.67?0.014.5?1013B???2.3?1013
?2BS
l05MKl025131.94?106?79402af????31.6mm??32mm符合要求。 1348B482.3?10250支座挠度
已知:ftk?2.01N/mm2,ES?200?103N/mm2,Ec?30?103N/mm2,
AS?3217mm2,??2 ,h0?460mm ,Mmax?280.45kN/m A3217??S??0.02,
bh0300?460??0.95ESASh02200?103?3217?4602BS???6.5?10131.15??0.2?6?E?1.15?0.95?0.2?6?6.67?0.026.5?1013B???3.3?1013
?2BS
l0??5MKl025280.45?106?39702???14mm??16mm符合要求。 f?48B483.3?1013250边跨挠度:
已知:ftk?2.01N/mm2,ES?200?103N/mm2,Ec?30?103N/mm2,
ES?6.67,AS?2841mm2,??2 ,h0?460mm。 ECA2841??S??0.02,
bh0300?460 ??0.93
?E?ESASh02200?103?2841?4602BS???5.8?10131.15??0.2?6?E?1.15?0.93?0.2?6?6.67?0.025.8?1013B???2.9?1013
?2BS
l05MKl025218.44?106?79402af????28.7mm??32mm符合要求。
48B482.9?1013250短边方向支撑梁验算。
(1)梁的荷载计算
恒荷载标准值:g=÷= kN/m 活荷载标准值:q=19÷×=kN/m (2)弯矩计算
支座最大弯矩值 :
Mmax??0.105?10.88?2?5.942?0.119?6.79?2?5.942??109.13kN/m 跨中最大弯矩为:
Mmax?0.033?10.88?2?5.942?0.079?6.79?2?5.942?63.19kN/m 边跨最大弯矩为:
Mmax?0.078?10.88?2?5.942?0.098?6.79?2?5.942?106.84kN/m
(3)梁裂缝宽度验算 跨中验算
已知b?h?300mm?600mm,c?33mm,ftk?2.01N/mm2 ?lim?0.2mm
Mmax?63.19kN?m, As?763mm2,。则h0?600?40?560mm。 ?te?0.008
deq??nid2i?nidi?18mm vi?1.0
Mk63.19?106 ?s???170N/mm2
0.87hoAs0.87?560?763f0.65?2.01 ??1.1?0.65tk?1.1??0.14
?te?s0.008?170?max??cr??sEs(1.9cs?0.08dep?te)
17018?(1.9?33?0.08?) 3200?100.008 ?0.05mm??lim?0.2mm 满足要求
?1.9?0.14?支座验算
已知b?h?300mm?600mm,c?33mm,ftk?2.01N/mm2 ?lim?0.2mm
Mmax?109.13kN?m, As?1272mm2,。则h0?600?40?560mm。 ?te?0.014
deq??nid2i?nidi?18mm vi?1.0
Mk109.13?106 ?s???176N/mm2
0.87hoAs0.87?560?1272f0.65?2.01 ??1.1?0.65tk?1.1??0.57
?te?s0.014?176?max??cr??sEs(1.9cs?0.08dep?te)
17018?(1.9?33?0.08?)
200?1030.008 ?0.05mm??lim?0.2mm 满足要求
?1.9?0.14?边跨验算
已知b?h?300mm?600mm,c?33mm,ftk?2.01N/mm2 ?lim?0.2mm
Mmax?106.84kN?m, As?1071mm2,。则h0?600?40?560mm。 ?te?0.006
deq??nid2i?nidi?18mm vi?1.0
Mk106.84?106 ?s???204N/mm2
0.87hoAs0.87?560?1071