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{
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"cell_type": "markdown",
"metadata": {
"collapsed": true
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"source": [
"# Chapter 17:Shear and Development Length"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ex17.1:pg-287"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Nominal shear stress= 0.704 MPa\n",
"Shear strength of concrete= 0.64 MPa\n"
]
}
],
"source": [
"#given data\n",
"b=230#width, in mm\n",
"d=500#effective depth, in mm\n",
"l=4.5#span, in m\n",
"Ast=4*0.785*20**2#four 20 mm dia bars, in sq mm\n",
"fck=20#in MPa\n",
"W=24#in kN/m\n",
"Wu=1.5*W#factored load, in kN/m\n",
"Vu=Wu*l/2.0#in kN\n",
"Tv=Vu*10**3/b/d#in MPa\n",
"Tcmax=2.8#for M20, in MPa\n",
"#Tv<Tcmax, hence OK\n",
"p=Ast/b/d*100#p=1.1, approximately\n",
"#for p=1.1 and M20 grade concrete\n",
"Tc=0.64#in MPa\n",
"#Tv>Tc, hence shear reinforcement required\n",
"print \"Nominal shear stress=\",round(Tv,3),\" MPa\\nShear strength of concrete=\",Tc,\" MPa\"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ex17.2:pg-287"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Provide 6 mm dia stirrups at 118 mm c/c as shear reinforcement\n"
]
}
],
"source": [
"#given data\n",
"b=300#width, in mm\n",
"d=1010#effective depth, in mm\n",
"l=7#span, in m\n",
"Ast=round(6*0.785*22**2)#six 22 mm dia bars, in sq mm\n",
"fck=15#in MPa\n",
"fy=250#in MPa\n",
"W=45#in kN/m\n",
"Wu=1.5*W#factored load, in kN/m\n",
"Vu=Wu*l/2.0#in kN\n",
"Tv=Vu*10**3/b/d#in MPa\n",
"#Tv<Tcmax, hence OK\n",
"p=Ast/b/d*100#p=0.75, approximately\n",
"#for p=0.75 and M15 grade concrete\n",
"Tc=0.54#in MPa\n",
"#Tv>Tc, hence shear reinforcement required\n",
"Vus=Vu-Tc*b*d/10**3#in kN\n",
"#provide 6 mm dia stirrups\n",
"Sv=0.87*fy*2*0.785*6**2*d/Vus/10**3#in mm\n",
"Sv=171#approximately, in mm\n",
"Svmin=2*0.785*6**2*fy/b/0.4#in mm\n",
"Svmin=118#approximately, in mm\n",
"Sv=min(Sv,Svmin)#in mm\n",
"print \"Provide 6 mm dia stirrups at\",Sv,\" mm c/c as shear reinforcement\"\n"
]
}
],
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