Solid Waste Engineering
3rd Edition
ISBN: 9781305635203
Author: Worrell, William A.
Publisher: Cengage Learning,
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Chapter 7, Problem 7.2P
The ideal equation for the combustion of cellulose is C6H10O5 + 6O2→6O2 + 5H2O. What is a similar idealized equation for pyrolysis? What end products might you expect?
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A sample of Achilles saturated with water has a mass of 1710 g. After heating in an oven, a constant mass of 1815 g is obtained. The density of solid Achilles seeds is 2.78 g/cm3. We are asked to calculate:
a) The water content and void ratio
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8. A prestressed concrete beam is subjected to the
following stress distributions:
Pi is the initial prestressing force, Pe is the effective
prestressing force, M, is the bending moment due to self-
weight, Ma and M, are the dead load and live load bending
moment, respectively.
The concrete has the following properties: fr = 6000 psi
and fri = 4200 psi
+250 -85 -2500
+550
Pe+ Mo+Ma+Mi
P alone
P₁+ Mo
-2450 -3500
Stress at midspan
+210
+250
P, alone
Pe alone
-2500 -3500
Stress at ends
Using Table 22.1, evaluate whether the stresses at the center of the span and the end of the span comply with the
permissible stress limits. The beam is classified as U-class.
Provide justifications for each condition listed in the table.
Note: Calculated stresses are to be taken from the above diagram, and permissible stresses are to be calculated
using Table 22.1.
Compressive stresses
immediately after transfer
Tensile stresses
immediately after transfer
Compressive stresses
under sustained and total…
10. A short column is subjected to an eccentric loading. The axial load P =
1000 kips and the eccentricity e = 12 in. The material strengths are fy = 60 ksi
and f = 6000 psi. The Young's modulus of steel is 29000 ksi.
(a) Fill in the blanks in the interaction diagram shown below.
(2pts each, 10pt total)
Po
Pn
(1)
failure range
H
3"
30"
Ast 6 No. 10 bars
=
P
22"
I
e
H
3"
(4) e =
e small
Load
path for
given e
Radial lines show constant (2)
eb
(3)
e large
failure range
Mn
(5) e=
Mo
(b) Compute the balanced failure point, i.e., P and Mb.
Chapter 7 Solutions
Solid Waste Engineering
Ch. 7 - Prob. 7.1PCh. 7 - The ideal equation for the combustion of cellulose...Ch. 7 - You serve as the president of XYZ corporation,...Ch. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Prob. 7.8PCh. 7 - Prob. 7.9PCh. 7 - Cellulose is to be burned in a waste-to- energy...
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- No chatgpt plsarrow_forward11. The prestressed T beam shown below is pretensioned using low relaxation stress-relieved Grade 270 strands. The steel area Aps = 2.5 in². The tensile strength is fpu = 270 ksi, and the concrete compressive strength is fr = 6000 psi. (a) Calculate the nominal moment strength Mn with hr = 6 in. 22" 15" T hf (b) Since this beam is a T-beam, the nominal moment strength M₁ increases with a thicker hf. However, M, stops increasing if he reaches a value. Determine the minimum thickness hy that can achieve the maximum nominal moment strength Mr. Also, calculate the corresponding maximum nominal moment strength Mn with the computed hf.arrow_forward10. A short column is subjected to an eccentric loading. The axial load P = 1000 kips and the eccentricity e = 12 in. The material strengths are fy = 60 ksi and f = 6000 psi. The Young's modulus of steel is 29000 ksi. (a) Fill in the blanks in the interaction diagram shown below. 30" Ast 6 No. 10 bars = Pn (1) Po (4) e = e small Load path for given e failure range Radial lines show constant (2) eb (3) e large failure range Mn (5) e= Mo (b) Compute the balanced failure point, i.e., P and Mb. H 3" P 22" I e H 3"arrow_forward
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- I will rate, thanksarrow_forward. 9. A reinforced concrete beam is subjected to V/ = 40 kips and Tu/ = 12 ft kips at the critical section. Given conditions: ⚫ Longitudinal reinforcements use No. 8 grade 60 steel with an effective depth d = 20 in. For shear capacity, V = 18 kips and V₂ = 22 kips • For transverse reinforcements, use No. 3 bars with grade 60. • The effective torsional area of A. = 150 in². • Crack angle = 45° ⚫ The minimum stirrup spacing is Smin = 4" and the maximum stirrup spacing is Smax = Find the required stirrup spacing at the critical section. 8".arrow_forward3. The beam shown on the right uses three No. 8 bars made of Grade 60 steel as longitudinal reinforcement. The allowable maximum center-to-center spacing of the longitudinal rebars has been determined to be 10 inches. Now assume that Grade 80 steel will be used instead. Determine whether the beam satisfies the rebar spacing requirements according to the ACI Code. Additional assumptions: • Estimate fs = fy • 20" Clear cover: ? 12" Clear side cover: 1.5" The clear cover depth cc and the clear side cover remain unchanged, regardless of the change in material.arrow_forward
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