مسائل فى ا&Ugr

مسائل فى ا&Ugr

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ﺔﻳﻮﺘﺴﻤﻟا ﺔﺣﺎﺴﻤﻟا ﻰﻓ ﻞﺋﺎﺴﻣ Prepared By:/ Amr A. El-Sayed, Civil Eng Dept., El-Minia Univ., Eg. 1 ﺔﻳﻮﺘﺴﻤﻟا ﺔﺣﺎﺴﻤﻟا ﻰﻓ ﻞﺋﺎﺴﻣ 1 - ﻪﻟﻮﻃ نﺎﻜﻓ ﻞﻴﺘﻟا ﻦﻣ ﻂﻳﺮﺸﺑ ﻂﺧ ﺲﻴﻗ (93.75 m) ﻮѧه ﻂﻳﺮﺸѧﻟا اﺬѧﻬﻟ ﻰﻤѧﺳﻹا لﻮѧﻄﻟا نأ ﻢѧﻠﻋ اذﺈﻓ ، (20.0 m) لﻮѧﻄﻟاو ، ﻪﻟ ﻰﻘﻴﻘﺤﻟا (20.01 m) ﻂﺨﻠﻟ ﻰﻘﻴﻘﺤﻟا لﻮﻄﻟا ﺐﺴﺣا . ﻞﺤﻟا ﻟو ،ﺐﻠﺼѧﻟا ﻦѧﻣ وأ نﺎѧﺘﻜﻟا ﻦѧﻣ نﻮѧﻜﻳ نأ ﻦѧﻜﻤﻳو ،ﺮﺷﺎﺒﻤﻟا سﺎﻴﻘﻠﻟ ﻂﻳﺮﺸﻟا مﺪﺨﺘﺴﻳ تارﺎѧﻴﺗ ﻰѧﻓ ﻪﻣاﺪﺨﺘѧﺳا ﺐﻌﺼѧﻳ ﻪѧﻨﻜ ًﺎ ﻴ ﻘ ﻓ أ ﻩﺪﺷ ﺔﺑﻮﻌﺼﻟ ةﺪﻳﺪﺸﻟا ءاﻮﻬﻟا . ﻂﻳﺮﺸﻠﻟ ﻰﻘﻴﻘﺤﻟا لﻮﻄﻟا ) ﺮﻳﺰﻨﺠﻟا وأ ( ﻂﺨﻠﻟ ﻰﻘﻴﻘﺤﻟا لﻮﻄﻟا = سﺎﻘﻤﻟا لﻮﻄﻟا × ﻂﻳﺮﺸﻠﻟ ﻰﻤﺳﻹا لﻮﻄﻟا ) ﺮﻳﺰﻨﺠﻟا وأ True length = 93.75 * 0 . 20 01 . 20 = 93.7968 m ∗∗∗∗∗∗ 2 - ﺮﺘﻤﻟا ﻦﻣ ﺔﻠﻘﻋ تﺪﻘﻓ سﺎﻘﻤﻟا ﻂﺨﻟا لﻮﻃ نﺎآو ،ﺮﻳﺰﻨﺠﻟا ﻦﻣ ﻦﻣﺎﺜﻟا (88.50 m) . ﻂﺨﻠﻟ ﻰﻘﻴﻘﺤﻟا لﻮﻄﻟا ﺐﺴﺣا . ﻞﺤﻟا ﺮѧﻳﺰﻨﺠﻟا ﺎѧﻓﺮﻃ ﻰѧﻬﺘﻨﻳو ،تﺎѧﻘﻠﺣ ﻖѧﻳﺮﻃ ﻦѧﻋ ﺎﻬﻀѧﻌﺒﺑ ﻞﺼѧﺘﺗ ﺐﻠﺼѧﻟا وأ ﺪѧﻳﺪﺤﻟا ﻦѧﻣ ﺔѧﻌﻴﻓر نﺎﺒﻀѧﻗ ﻦﻋ ةرﺎﺒﻋ ﺮﻳﺰﻨﺠﻟا ﻮه ﺮﻳﺰﻨﺠﻠﻟ فوﺮﻌﻤﻟا لﻮﻄﻟاو ،سﺎﺤﻨﻟا ﻦﻣ ﻦﻴﻀﺒﻘﻤﺑ (20.0 m) ﻮه ﺔﻠﻘﻋ ﻞآ لﻮﻃو ، (20.0 cm) تﺎﻘﻠﺣ ﻦﻣ ﺎﻬﻌﺒﺘﻳ ﺎﻤﺑ . ﺮﻳﺰﻨﺠﻠﻟ ﻰﻤﺳﻹا لﻮﻄﻟا = 20.0 m ﺮﻳﺰﻨﺠﻠﻟ ﻰﻘﻴﻘﺤﻟا لﻮﻄﻟا ، = 20.0 – 0.20 = 19.80 m true length = 88.50 * 0 . 20 80 . 19 = 87.615 m ∗∗∗∗∗∗ 3 - ﻪѧﻟﻮﻃ ﻂﻳﺮѧﺷ ماﺪﺨﺘѧﺳﺎﺑ ضرأ ﺔﺣﺎﺴѧﻣ ﺖﺴѧﻴﻗ (30.0 m) ﺔﺣﺎﺴѧﻤﻟا ﺖѧﻧﺎﻜﻓ (656.0 m 2 ) ا نأ ﻢѧﻠﻋ اذﺈѧﻓ ، ﻰѧﻘﻴﻘﺤﻟا لﻮѧﻄﻟ ﻮه ﻂﻳﺮﺸﻠﻟ (29.99 m) ضرﻷا ﺔﻌﻄﻘﻟ ﺔﻴﻘﻴﻘﺤﻟا ﺔﺣﺎﺴﻤﻟا ﺪﺟوﺄﻓ . ﻞﺤﻟا ) ﺮﻳﺰﻨﺠﻟا وأ ﻂﻳﺮﺸﻠﻟ ﻰﻘﻴﻘﺤﻟا لﻮﻄﻟا ( 2 ﺔﻴﻘﻴﻘﺤﻟا ﺔﺣﺎﺴﻤﻟا = ﺔﺳﺎﻘﻤﻟا ﺔﺣﺎﺴﻤﻟا × ) ﺮﻳﺰﻨﺠﻟا وأ ﻂﻳﺮﺸﻠﻟ ﻰﻤﺳﻹا لﻮﻄﻟا ( 2 True area = 656.0 * 2 0 . 30 99 . 29 = 655.562 m 2 . ∗∗∗∗∗∗ 4 - ا ﺔﻟﻻﺪﺑ مﺎﻈﺘﻧﺎﺑ ﺔﻠﺋﺎﻣ ضرأ ﻰﻠﻋ سﺎﻴﻘﻟا ﻦﻋ ﺞﺗﺎﻨﻟا ﺄﻄﺨﻟا ﺢﻴﺤﺼﺘﻟ ﺔﻗﻼﻌﻟا ﻖﺘﺷ : أ - ضرﻷا ﻞﻴﻣ ﺔﻳواز θ ب - ﻦﻴﺘﻄﻘﻨﻟا ﻦﻴﺑ بﻮﺴﻨﻤﻟا قﺮﻓ .
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مسائل فى ا&Ugr

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