Muro de contencion

Vista previa del material en texto

Hoja1
	MUROS DE CONTENCION
	Datos								∅ = 0º	ca= 1.00	cp= 0.00	tg= 0.00
	H= 4.55 m								∅ = 30º	ca= 0.33	cp= 3.00	tg= 0.58
	γs= 1920.00 k/m3								∅ = 90º	ca= 0.00	cp= 0.00
	σs= 1.50 k/cm3
	∅= 30º
	β= 0					S= 2000.00 k/m2
	μsc= 0.50				0.20 m
	f´c= 250 k/cm2
	Fy= 4200 k/cm2
	γw= 0.00 k/m3					6
	γc= 2400 k/cm2				1		7
			1.25 m							4.10 m
						2
			0.60 m
				5
					0.40 m
							3			0.45 m
					4
										0.60 m
					0.20 m
			1.35 m		1.65 m
	Altura/10=	0.455	> 0.40 m	Ok
	Largo= 0.7 x H=	3.185	> 3.00 m	Ok
	Largo/3	1.00
			Fuerza	Brazo	ME
			L*h*γ material	Centro*Eje			Caso= 1=>		β= 0	
		1	1968	1.350	2656.8		Caso= 2=>		β≠ 0	
		2	984	1.517	1492.4		Caso= 3=>	S= 2000 k/m2	β= 0	CASO 3
		3	3240	1.500	4860		Caso= 4=>			
		4	432	1.550	669.6
		5	1440	0.625	900
		6	787.2	1.583	1246.4
		7	9840	2.633	25912
		Total	18691.2		37737.2
	Caso= 1=>		β= 0	
			Fh
				h
			Y=h/3
	Mv=Fh*Y	Mv	Ca*γ*s*h
	Ca=		
	Fh= (Ca*γs*(h/2))=		
	Y=h/3=		
	Mv= Fh*Y=		
	fs=ME/Mv=			>2	Ok
	a= (ME-(fh*Y))/Fv=			CASO 1
	Rv=Fh=		
	CASO 1				CASO 2				CASO 2
	a>L/3				a=L/3				a<L/3
					qmax				qmax
	qmin=(Rv/L^2)*(6a-2L)				qmax=2*Rv/L				q=2*Rv/3*a	
	qmax=(Rv/L^2)*(4L-6a)				qmin=0		
	Fp=(Cp*γs*h)/2		
	μss=tg∅=		
	Fpta=((q+qss)/2)*L*μss*B=		
	FT=(qss/2)*L*μss*B=		
	Fresist=Fp+Fpta+Ft=		
	Fs=(Fresist/FH)> 1,5			
				Fuerza	Brazo	ME
		0.40 m		L*h*γ material	Centro*Eje
	0.80 m					
						
		0.20 m
	fs=ME/Mc=			>2	
	a= (ME-(fh*Y))/Fv=			
	Rv=Fh=		
	qmin=(Rv/L^2)*(6a-2L)				qmax=2*Rv/L				q=2*Rv/3*a	
	qmax=(Rv/L^2)*(4L-6a)				qmin=0		
	Fpta=((q+qss)/2)*L*μss*B=		
	FT=(qss/2)*L*μss*B=		
	Fresist=Fp+Fpta+Ft=		
	Fs=(Fresist/FH)> 1,5			
	Caso= 2=>	β≠ 0	
		F
	Fh
	Fv		Y=h/3
	Ca=		
	Fh= (Ca*γs*(h/2))=		
	Y=h/3=		
	Mv= Fh*Y=		
	fs=ME/Mv=			>2	
	a= (ME-(fh*Y))/Fv=			
	Rv=Fh=		
	CASO 1				CASO 2				CASO 2
	a>L/3				a=L/3				a<L/3
					qmax				qmax
	qmin=(Rv/L^2)*(6a-2L)				qmax=2*Rv/L				q=2*Rv/3*a	
	qmax=(Rv/L^2)*(4L-6a)				qmin=0		
	Fp=(Cp*γs*h´)/2		
	μss=tg∅=		
	Fpta=((q+qss)/2)*L*μss*B=		
	FT=(qss/2)*L*μss*B=		
	Fresist=Fp+Fpta+Ft=		
	Fs=(Fresist/FH)> 1,5			
				Fuerza	Brazo	ME
		0.40 m		L*h*γ material	Centro*Eje
	0.80 m					
						
		0.20 m
	fs=ME/Mc=			>2	Ok
	a= (ME-(fh*Y))/Fv=			CASO 1
	Rv=Fh=		
	qmin=(Rv/L^2)*(6a-2L)				qmax=2*Rv/L				q=2*Rv/3*a	
	qmax=(Rv/L^2)*(4L-6a)				qmin=0		0
	Fpta=((q+qss)/2)*L*μss*B=		
	FT=(qss/2)*L*μss*B=		
	Fresist=Fp+Fpta+Ft=		
	Fs=(Fresist/FH)> 1,5			Ok
	Caso= 3=>	S= 2000 k/m2	β= 0	CASO 3
				h´
				FH	h
				Y
				Ca*γ*s*h
	h´=S/γs=		1.042
	Ca=		0.33
	Fh= (Ca*γs*(h+2*h´)*h)/2=		9561.552
	Y=(h^2+(3*h*h´))/(3*(h+2*h´))=		1.755
	Mv= Fh*Y=		16778.962
	fs=ME/Mv=		2.249	>2	Ok
	a= (ME-(fh*Y))/Fv=		1.12	CASO 1
	Rv=Fh=		18691.2
	CASO 1				CASO 2				CASO 2
	a>L/3				a=L/3				a<L/3
					qmax				qmax
	qmin=(Rv/L^2)*(6a-2L)		1.511		qmax=2*Rv/L				q=2*Rv/3*a	
	qmax=(Rv/L^2)*(4L-6a)		10.949		qmin=0		
	Fp=(Cp*γs*h´)/2		3000
	μss=tg∅=		0.577
	Fpta=((q+qss)/2)*L*μss*B=		108745.609738365
	FT=(qss/2)*L*μss*B=		20324.9007225
	Fresist=Fp+Fpta+Ft=		132070.510460865
	Fs=(Fresist/FH)> 1,5		13.8126645612	Ok
				Fuerza	Brazo	ME
		0.40 m		L*h*γ material	Centro*Eje
	0.80 m			576	1.55	892.8
				18835.2		37960.4
		0.20 m
	fs=ME/Mc=			>2	
	a= (ME-(fh*Y))/Fv=			
	Rv=Fh=		
	qmin=(Rv/L^2)*(6a-2L)				qmax=2*Rv/L				q=2*Rv/3*a	
	qmax=(Rv/L^2)*(4L-6a)				qmin=0		
	Fpta=((q+qss)/2)*L*μss*B=		
	FT=(qss/2)*L*μss*B=		
	Fresist=Fp+Fpta+Ft=		
	Fs=(Fresist/FH)> 1,5			
	Caso= 4=>		
				h0
	Ca*(γw+γs)*ho		Ca*γ*s*ho	NF		SI(A8=0;(SI(F8=0;C57;SI((H34=0);(SI(A8>0;C112;(SI(F8>0,(SI(A8=0,C170,"")),"")));"")));"")
						SI(A8=0,(SI(F8=0,"CASO 1","")),"")
			+	hw		SI((H34=0),(SI(A8>0,"CASO 2","")),"")
						SI(F8>0,(SI(A8=0,"CASO 3","")),"")
		Ca*(γw+γs)*h	γw*h
		h=ho+hw
	MURO
									As sup
									0.20 m
	FH=		18,691.200		h=		40.0 cm						Designacion	Φ en pulg	Φ en cm	Area en cm2
	Y=		1.755		h=		20.0 cm						3	⅜"	0.95	0.71
	Mu=		45920.005		B=		100.0 cm						4	⅟₂"	1.27	1.27
					recub inf=		7.5 cm						5	⅝"	1.59	1.98
	R=		0.193		recub sup=		5.0 cm						6	₃⁄₄"	1.93	2.85
	q=		0.222						0.40 m		Mu		7	⅞"	2.22	3.88
	As min=		10.833 cm						As inf				8	₁"	2.54	5.07
	As=		43.002 cm										11	₁⅜"	3.58	10.07
	Φ en pulg	Φ en cm	Area en cm2		Area de As=		25.87 cm
	⅞"	2.22	3.88		N° barras=		7 Barras	⅞"
					1 Φ	⅞"	L1 @ 30
					1 Φ	⅞"	L2 @ 30
	a=		2.556
	Tu=		54320
	Φ Mn=		15263.7538
	Φ Mn=		5486.1538
		0	5486.1538
					0.325	Max= 0.325
					0.266							L= 4.975
	4.10 m						3.062					L= 3.937
						2.74 m					4.10 m
					45920.005
				15263.7538							0.45 m
											0.60 m
	As h=	Altura de 40 cm	7.2		Φ en pulg	Φ en cm	Area en cm2		As h=	8 Barras	⅟₂"
	As v=	Altura de 40 cm	4.8		⅟₂"	1.27	1.27		As v=	8 Barras	⅟₂"
	As h=	Altura de 20 cm	3.6
	As v=	Altura de 20 cm	2.4
	PUNTA
	Mu=		6830.797
	R=		0.022							0.45 m
	q=		0.022
	As min=		12.500 cm						135
	As=		49.617 cm
	Φ en pulg	Φ en cm	Area en cm2		Area de As=		6.35 cm
	⅟₂"	1.27	1.27		N° barras=		5 Barras	⅟₂"
	TALON
	Pu=		16768.08
	Mu=		10468.0291666667							0.45 m
	R=		0.033
	q=		0.034								1.25 m
	As min=		12.500 cm
	As=		7.534 cm
	Φ en pulg	Φ en cm	Area en cm2		Area de As=		8.47 cm
	⅟₂"	1.27	1.27		N° barras=		7 Barras	⅟₂"
	As temp
	Muro		5.85		N° barras=		5 Barras	⅟₂"
			2.25		N° barras=		2 Barras	⅟₂"
	Talon=Pta=		6.75		N° barras=		5 Barras	⅟₂"
	fY=		25
	Chequeo
	Vc=		8.380
	Muro
	Vu=		9.472	< 8.380	No, Rediseñar-Muro
	Punta
	Vu=		0.843	< 8.380	OK
	Talon
	Vu=		4.417	< 8.380	OK
FH
Y
h´
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