pjlx?85.607?6.32?3278.672kNpjly?85.607?7.22?4437.867kN
根据教材《基础工程》表4-4两邻边固定两邻边简支板系数表和表4-5三边固定一边简支板系数表,查得弯矩系数: ?3x?0.0341,?3y?0.0203,x3x?0.628?4x?0.0267,?4y?0.0139,x4x?0.77322
边缘区格3:
M3x???3xpjlx??0.0341?3278.627??111.801kN?mM3y???3ypjly??0.0203?4437.867??90.089kN?m22
中间区格4:
M4x???4xpjlx??0.0267?3278.627??87.539kN?mM4y???4ypjly??0.0139?4437.867??61.686kN?m22
支座弯矩:
x??x?0.6280.773?2Ma??3x?4x?pjlx?????3278.627?234.285kN?m24??16?1624?x0.7732Mb?4xpjlx??3278.627?211.198kN?m1212
1?x3x1?0.6282pjly??4437.867?206.361kN?m881?x4x1?0.7732Md?pjly??4437.867?125.924kN?m88 Mc?6.1.2基础底板支座弯矩调整
基础梁宽b=0.5m,根据《基础工程》教材公式进行调整
Max?Ma?MbxMcyMdy1x3xpjb?234.285?0.25?0.628?85.607?6.3?0.5?191.948kN?m41?Mb?x4xpjlxb?211.198?0.25?0.773?85.607?6.3?0.5?159.085kN?m41?Mc?(1?x3x)pjlyb?206.361?0.25?(1?0.628)?85.607?7.2?0.5?177.800kN?m41?Md?(1?x4x)pjlyb?125.924?0.25?(1?0.773)?85.607?7.2?0.5?108.434kN?m46.1.3悬臂板弯矩
该方案基础板四周均从基础梁轴线向外悬挑0.7m,减去基础梁宽的1/2,剩下的则为悬臂带的宽度。
M?10.5??pjl2?0.5?85.607??0.7???19.262kN?m22??
6.2基础梁内力计算
三角形或者梯形面积内作用有向上的地基净反力Pj,等效于在横、纵梁上分别作用有向上三角形或梯形分布的荷载,最大值为
1q?lxpj?0.5?6.3?85.607?269.662kN/m2
6.2.1边缘横梁(JL1)计算
梁长L=14.4m。荷载由两部分组成:
边缘悬臂板传来的均布荷载q1?pja?85.607?0.7?59.925kN/m 梯形荷载,最大值为q?269.662kN/m,转化为均布的当量荷载p1,
p1?(1?2?2??3)qlx2ly ????
6.323?0.438,p1?(1?2?0.438?0.438)?269.662?188.855kN/m 2?7.2
两跨连续梁受均布荷载p?q1?p1?59.925?188.855?248.780kN/m作用。 1.支座弯矩:
MB?0.125ply?0.125?248.780?7.22?1612.094kN?m2.跨中最大弯:
2
矩跨中最大弯矩分别由均布荷载q1及梯形荷载q叠加求出:
2对均布荷载 M1max??0.070q1ly??0.070?59.925?7.2??217.456kN?m
2对梯形荷载(边跨,共2跨)
122q3ly?lx?0.4MB24269.662???(3?7.22?6.32)?0.4?1612.094??656.619kN?m 24Mmax?M1max?M2max??217.456?656.619??874.075kN?mM2max??3.支座剪力:剪力由三部分荷载产生:均布荷载q1,梯形荷载q和支座弯矩MB。
1?1?MQA??0.375q1ly??ly?lx?q?B2?2?ly??0.375?59.925?7.2?0.5?(7.2?0.5?6.3)?269.662?1?1?M左右QB??QB?0.625q1ly??ly?lx?q?B2?2?ly?0.625?59.925?7.2?0.5?(7.2?0.5?6.3)?296.662?1612.094?1094.305kN7.21612.094??483.961kN7.2??剪力和弯矩如图6-2-1所示
1094.305483.961-483.961-1094.305-874.075-874.075剪力图(kN)弯矩图(kN·m)1612.094图6-2-1
6.2.2中间横梁(JL2)计算
JL2承受两侧传来的梯形荷载q,q?2?269.662?539.324kN/m 均布当量荷载p1?2?188.855?377.71kN/m。 1.支座弯矩:
MB?0.125p1ly?0.125?377.71?7.22?2447.561kN?m
22.跨中最大弯矩:跨中最大弯矩近似由下式求得(边跨):
Mmax??122q3ly?lx?0.4MB24539.324???(3?7.22?6.32)?0.4?2447.561??1623.888kN?m24
??3.支座剪力。剪力由两部分荷载产生,梯形荷载q和支座弯矩MB,即
1?1?MQA???ly?lx?q?B2?2?ly
??0.5?(7.2?0.5?6.3)?539.324?1?1?M左右QB??QB??ly?lx?q?B2?2?ly2447.561??752.192kN 7.2
?0.5?(7.2?0.5?6.3)?539.324?2447.561?1432.07kN 7.2
剪力和弯矩如图6-2-2所示
1432.07752.192-752.192-1432.07-1623.888-1623.888剪力图(kN)弯矩图(kN·m)2447.561图6-2-2
6.2.3边梁纵梁(JL3)计算
梁长L=5?6.3=31.5m,荷载由两部分组成:
边缘悬臂板传来的均布荷载 q1?pjb?85.607?0.7?59.925kN/m。 三角形分布荷载,最大值为q?269.662kN/m,转化为均布的当量荷载p1为:p1?0.625q?0.625?269.662?168.539kN/m 均布荷载p?q1?p1?59.925?168.662?228.587kN/m 1.支座弯矩
利用5跨连续梁系数表,支座弯矩为
MB?0.105plx?0.105?228.587?6.32?952.625kN?mMc?0.079ply?0.079?228.587?6.32?716.737kN?m22
2.跨中最大弯矩 边跨