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author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
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committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3683/CH3/EX3.15/Ex3_15.sce | |
parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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initial commit / add all books
Diffstat (limited to '3683/CH3/EX3.15/Ex3_15.sce')
-rw-r--r-- | 3683/CH3/EX3.15/Ex3_15.sce | 20 |
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diff --git a/3683/CH3/EX3.15/Ex3_15.sce b/3683/CH3/EX3.15/Ex3_15.sce new file mode 100644 index 000000000..ead9a0163 --- /dev/null +++ b/3683/CH3/EX3.15/Ex3_15.sce @@ -0,0 +1,20 @@ +Df=120//thickness of flange, in mm
+Bw=200//breadth of web, in mm
+d=550//effective depth, in mm
+l=6//span, in m
+Bf=l*1000/12+Bw+3*Df//in mm
+m=13.33//modular ratio
+Ast=3200//in sq mm
+M=190*10^6//in N-mm
+//assume x>Df; equating moments of area on compression and tension sides about N.A.
+x=(m*Ast*d+Bf*Df^2/2)/(m*Ast+Bf*Df)//in mm
+//we find that x>Df, hence our assumption that x>Df is correct
+//as x<Xc, beam is under-reinforced; let stress in concrete at underside of slab be equal to 'a' times the stress in concrete at top
+a=(x-Df)/x
+//to find lever arm
+z=d-(1+2*a)/(1+a)*Df/3//in mm
+z=500//round-off, in mm
+//taking moments about tensile steel
+sigma_cbc=M/(Bf*Df*(1+a)*z/2)//in MPa
+sigma_st=m*sigma_cbc*(d-x)/x//in MPa
+mprintf("Stress in concrete=%f N/mm^2\nStress in tension steel=%f N/mm^2",sigma_cbc,sigma_st)
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