已知应力状态如图所示,图中应力单位皆为MPa 。试用解析法及图解法求: (1)主应力大小,主平面位置; (2)在 单元体上绘出主平面位置及主应力方向 ; (3)最大切应力。[p=align:center]
题目解答
答案
8EKyksPOW5bKyh0onkdpTWfS+jgrwY9ZeSeuRqp591oBZy+pZZbvTlyrBhh650JCsUQ3TYuHgqYi36la8bPXZKqsMYQFYDIFOnCoztUikbs= (1) 解析法 IfEG3NsBfGhtbCalasoF/29rA4gm3rEYKNqouNtWP1s+7PliEeaB5cPhg7XY73HRIVMlGWvKDHnl+qbEglBCwlHSms11KnOma91rxRmXqQvZrFBU0kVcsqsmD0JlU3JulQaWJcRA/tlNkPZDRz5gBUCK8+wULp2mbU/7BJTqu8oJP1bP/3GnbDCxUv03B1F1fonHttk0y5vm8lBM56kJsS8NuzvIk/qiE5LeOAq7UMU= Y8SQf1wN+eKHcMfLyk+I8p155Jl/yrVZ2oCTrxDmiZWweaSgOFxxtyVElyVOOHmbVvnL0GUegTPlG6alZWi+6HG3S7X2/c7LFyrUROCbzY0R05Q8ejTavIhuUPhj2n/M5DiGzh5J+eRyBWlsBz8UdVd4O44UT3ZlXECCSCrmjoSf4JKpVgd/uOQZKIciZY8uFUSnBuL28/WKgSdcSJXTdg== 按照主应力的记号规定 UD5Uh4Sf0JOreHxD3gt15ngkg5W65Xi2v2a/EkqeCgiKqrFOY8AQXtTpZnHtmejBE4OZbWSKTe7Mquvi3Dep40qdDzJ9QCjr6mLpLgg0ELssm68CdDehb64xpVZFSOib5EHVVoaIx91YBbjLu3tbuDUJekfvGyS+Fp4u7/xts5fK5ta97ujen9JDYxrSukR3OlKCJdXKN091MHe369uUnTe6y32XqCNa3qF+0xqz4Qw7cPObW9aWcrd0r/Kr9CXjKgPbm84J6CBKzvNB9IG8gTjWJd5Q0eKC+BK+wOYAsOm3KKhTeF20pmY9eDXABmJwLTpNWifA1XeOI85hf1da1KE0PeaiRHEd174CUZC8FzvhdjR2C8aMQlf0GKaGx/2MZjhvhz9vCkcMVjtfgWRQZFwcDJrIZjYJrlosctZHF/4= （2）图解法 作应力圆如图 i7ViSvVT6e9lCibve2jq+RRNPHzsrvdEPHX5scwh8wk= 所示。应力圆写 G/buLKOLYVDEKMZ76t752w== 轴的两个交点的坐 标即是主应力 3kjPgmaK9gguubcUzpnAGkT0GtKLjKD1q/nKyLJPd1I= 的数值。由 GKX8yMdOkLP1KvFisLh/uA== 顾时针旋转 co3VC3ez+yZzCX9G9AAT0Q==, 可确定主平面 的方位。GKX8yMdOkLP1KvFisLh/uA== 的长度即为最大切应力的数值。主应力单元体如2qYj6sq0SzyqA+fKGzI2RsbrxaiTRtCgdmOyQ8gGlmY=所示 17aaa48f65ffbfb.png