.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters d A = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhl A . (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters d A = 90 mm and dB = 270 mm at ends A and B, re s pec lively. Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhl A . (a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress (b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
Solution Summary: The author calculates the maximum bending stress in case of the tapered cantilever beam.
.2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular lubes (see ligure part at. for purposes of this analysis, each beam may be represented as a cantilever AB of length L = 8.0 m subjected to a lateral load P = 2.4 kN at the free end. The tubes have a constant thickness ; = 10.0 mm and average diameters dA = 90 mm and dB = 270 mm at ends A and B, re s pec lively.
Because the thickness is small compared to the diameters, the moment of inerlia at any cross section may be obtained from the formula / = jrrf3;/8 (see Case 22, Appendix E); therefore, the section modulus mav be obtained from the formula S = trdhlA.
(a) At what dislance A from the free end docs the maximum bending stress occur? What is the magnitude trllul of the maximum bending stress? What is the ratio of the maximum stress to the largest stress
(b) Repeat part (a) if concentrated load P is applied upward at A and downward uniform load q {-x) = 2PIL is applied over the entire beam as shown in the figure part b What is the ratio of the maximum stress to the stress at the location of maximum moment?
It is required to treat 130 kmol/hr of chloroform-air feed gas mixture that contains
12% chloroform. It is required to remove 93% of chloroform using 150 kmol/hr of
solvent that contains 99.6% water and 0.4% chloroform. The cross sectional area of the
column is 0.8 m². Calculate the column height using the following data; kx'.a = 1.35
(kmol/m³.s (Ax)), and ky'.a = 0.06 (kmol/m³.s (Ay)), kx/ky = 1.35, and the equilibrium
data are:
X 0 0.0133 0.033
y 0 0.01 0.0266
0.049 0.064 0.0747 0.0933 0.1053
0.0433 0.06 0.0733
0.111
0.1
0.12
0.14
४
B:
Find the numerical solution for the 2D equation below and calculate the temperature values for
each grid point shown in Fig. 2 (show all steps).
(Do only one trail using following initial values and show the final matrix)
[T1]
T₂
T3
[T] 1
=
[0]
0
0
d
dx
dx)
(ka)+4(ka)
=
dy
-20xy, k = 1 + 0.3 T
ge
L=3cm, 4x= Ay
B.Cs.:
at x=0=LT=0°C
at y=0-L T=10°C
Fig. (2)
: +0
العنوان
use only
Two rods fins) having same dimensions, one made orass (k = 85 Wm
K) and the mer of copper (k = 375 W/m K), having of their ends inserted
into a furna. At a section 10.5 cm a way from furnace, the temperature of
brass rod 120 Find the distance at which the ame temperature would be
reached in the per rod ? both ends are ex osed to the same environment.
ns
2.05
۲/۱
ostrar
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