Homework 5 Check if the thickness of concrete square core tube with 300mm is enough for wind, earthquake and dead loads.Use "Footprint Method”,Tube Action”and assume the layout diagram as attached (The building is totally supported by the core tube).The height of building is 60m with 20 stories,the concrete strength is 40N/mm2,the wind load is 1kN/m 2, the floor DL is 10kN/m 2,earthquake load is 5%DL
Homework 5 Check if the thickness of concrete square core tube with 300mm is enough for wind, earthquake and dead loads. Use “Footprint Method”, “Tube Action” and assume the layout diagram as attached (The building is totally supported by the core tube). The height of building is 60m with 20 stories, the concrete strength is 40N/mm², the wind load is 1kN/m ² , the floor DL is 10kN/m ²,earthquake load is 5% DL
娱凝±核筒 卡5m头 ↓ 30m
Answer: Vertical total load:W=20x30x30x10=180000kN Stress of vertical load=W/A= 180000/(0.3x4x4.7)=31.9MPa Wind induced Mmax=1x30x60x30=54000kNm Earthquake induced Mmax= 5%Wx60x2/3=360000kNm>54000kNm Maximal stress of bending moment= (3/4)x360000/(4.7x4.7x0.3)=+-40.7MPa Maximal stress in pressure is 31.9+40.7=72.6Mpa>40Mpa. The thickness of tube is not enough. 40.7-31.9=8.8 tensile stress,it's not a balance design
Answer: Vertical total load: W=20x30x30x10=180000kN Stress of vertical load=W/A= 180000/(0.3x4x4.7)= 31.9MPa Wind induced Mmax=1x30x60x30=54000kNm Earthquake induced Mmax= 5%Wx60x2/3=360000kNm>54000kNm Maximal stress of bending moment= (3/4)x360000/(4.7x4.7x0.3)=+-40.7MPa Maximal stress in pressure is 31.9+40.7=72.6Mpa>40Mpa. The thickness of tube is not enough. 40.7-31.9=8.8 tensile stress, it’s not a balance design
Homework 6 A 50-story (every story's height is 3 m) steel square framed tube building utilizes its exterior column to carry 1/2 of the floor loads (3kN/m 2)and resist wind forces(1kN/m 2).Attached is the column layout.Using "footprint concept""Tube action”ands“Shear lag action'”, determine the section areas of middle and corner steel columns.The strength of steel is 315N/mm2
Homework 6 A 50-story (every story's height is 3 m) steel square framed tube building utilizes its exterior column to carry 1/2 of the floor loads (3kN/m ²) and resist wind forces(1kN/m ²). Attached is the column layout. Using “footprint concept” “Tube action” and “Shear lag action”, determine the section areas of middle and corner steel columns. The strength of steel is 315N/mm²
40m 40m