Homework 4: yB0-3) 32 1om 462入 C(-2) 1⊙料 ① A3+) WOt D(3) 30m 20m∠
Homework 4:
田1. Axis Column Loads Axis Column Loads Axis Column Loads Axis Column Loads 1-1 1058 1-1 1558 1-1 958 1-1 325 1-2 733 1-2 983 1-2 383 1-3 350 1-3 350 A 2-1 1233 B 2-1 1983 C 2-1 1383 D 2-1 500 2-2 733 2-2 983 2-2 383 2-3 350 2-3 350 3-1 325 3-1 575 3-1 575 3-1 325 2.I=1x10x20x10+1x20x20x5=4000kNm
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 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 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
混凝土核心筒 月 周 5m 30m
30m 5m 5m 30m 混凝土核心筒
Answer: Vertical total load:W=20x30x30x10=180000kN Stress of vertical load-W/A= 180000/(0.3x4x4.7)=31.9Pa 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. How to improve the 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. How to improve the design?