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DESIGN OF HOPPER BOTTOMS NOTE :- BEFORE USING THIS EXCEL SHEET PLEASE SEE THE THE PAGE 186 OF REYNOLD'S BOOK
DESIGN BY MOHAMMAD AMIR CHECK BY MOHAMMAD AMIR 2
415 N/mm
GRADE OF STEEL LENGTH OF HOPPER (L) BREADTH OF HOPPER (B) ANGLE OF HOPPER WITH THE BOTTOM ( )
9.000 m 10.000 m 71.160 (Given)
WEIGHT OF CONTENTS PER UNIT VOLUME (D) THICKNESS OF SLOPING SLAB (T) LENGTH OF HOPPER AT LEVEL OF X BREADTH OF HOPPER AT LEVEL OF X LENGTH OF HOPPER AT BOTTOM (a 1)
32.000 KN/m 0.650 ASSUME 4.436 m 5.536 m 1.400 m
l1(xb
3
BREADTH OF HOPPER AT BOTTOM (a 2)
2.500 m
(FROM THE FIGURE CREATED BY AUTO CAD)(b 1)
8.255 m
(FROM FIGURE CREATED BY AUTOCAD)(b 2)
6.918 m
(FROM FIGURE CREATED BY AUTOCAD)(l 1)
7.155 m
(FROM THE FIGURE CREATED BY AUTO CAD)(l 2)
8.077 m
(FROM THE FIGURE CREATED BY AUTO CAD)(h 1)
7.162 m
HEIGHT OF HOPPER BELOW LEVEL OFH1(h 2)
7.328 m
HEIGHT OF HOPPER BELOW LEVEL OF X(h 3)
4.171 m
LENGTH OF HOPPER AT DEPTH H 1
6.516 m
h1
h
h2 a3 h3
BREADTH OF HOPPER AT DEPTH H 1 DIAMETER OF CIRCLE(d) (FROM FIG. BY AUTO CAD) k 2 (FROM THE FIGURE CREATED BY AUTO CAD)(h)
7.616 m 6.193 m 0.333 10.319 m
WEIGHT OF SLOPING SLAB PER UNIT AREA(g)
16.250 KN/m
AREA OF HOPPER AT LEVEL OF X
24.560 m
2
3.500 m
2
a1
2
AREA OF HOPPER AT BOTTOM VOLUME OF HOPPER BELOW LEVEL OF X WEIGHT OF HOPPER BOTTOM BELOW LEVEL OF X (Gx) AREA OF HOPPER AT LEVEL H 1 VOLUME OF HOPPER BELOW LEVEL OF H 1
3
51.910 m (BY SIMPSON'S RULE) 1297.750 KN 49.630 m
2
161.980 m
3
a3 l2
4049.500 KN
WEIGHT OF HOPPER BOTTOM OF DEPTH H 2 (G) Fx = D{h3/3[a1a2 +b2l2 + sqrt(a1a2b2l2)] +b2l2h} + Gx
23012.580 KN
F = D{h2/3[a1a2 +b1l1 + sqrt(a1a2b1l1)] +b1l1h1} + G
23600.380 KN 2
330.208 KN/m 109.960
q = Dh Qh = k 2Dh 2
141.290 KN/m
Qn = Qh[SIN θ]+q[COS θ]+g[COSθ] 2
BM AT CENTRE & TOP OF SLOPING SLAB = (1/32) Qnd (kn-m) FACTORED BM DIR. TENS. (IN DIR. OF SLOPE,AT CENTRE/WIDTH)=F CENTRE/WIDTH)=Fx/2SINθ(l2+b2) DIR. TENS. (IN DIR. OF SLOPE,AT TOP/WIDTH)=F/2SINθ(l TOP/WIDTH)=F/2SINθ(l 1+b1)
169.350 KN-m/m 254.025 KN-m 816.590 KN-m 837.450
VERTICAL HANGING UP FORCE = F/2(l 1+b1) CHECK FOR THICKNESS (m)
765.750 0.280
2
a2
2
2
Mu/bd PERCENTAGE OF REINFORCEM REINFORCEMENT ENT AREA OF STEEL
