TROB 29 MÀ anered cantilever beam AB having rectangular cross sections is subjected to a concentrated load F = 90 N-m acting at the free end [see figure part (a)]. The width b of the beam 3 N and a couplc Mo ant and cqual to 25 mm, but the height varies linearly from ha 50 mm at the loaded end to ha = 75 mm thr support. 3: At what distance x from the free end does the maximum bending stress omax occur? What is magntude amas of the maximum bending stress? What is the ratio of the maximum stress to the largest str ity äl the support? (h: Repcat (a) if, in addition to P and Mo, a triangular distributed load with peak intensity 9o = 3PIL a upward over the entire beam as shown. What is the ratio of the maximum stress to the stress at the location Aimum moment? ЗР 90 = P= 220 N P 220 N Mo = 90 N-m В Mo = 90 N-m В A ThA = 50 mm hg= 75 mm : 25 min b = 25 mm L = 500 mm L = 500 mm (b) (a) PROB 30
TROB 29 MÀ anered cantilever beam AB having rectangular cross sections is subjected to a concentrated load F = 90 N-m acting at the free end [see figure part (a)]. The width b of the beam 3 N and a couplc Mo ant and cqual to 25 mm, but the height varies linearly from ha 50 mm at the loaded end to ha = 75 mm thr support. 3: At what distance x from the free end does the maximum bending stress omax occur? What is magntude amas of the maximum bending stress? What is the ratio of the maximum stress to the largest str ity äl the support? (h: Repcat (a) if, in addition to P and Mo, a triangular distributed load with peak intensity 9o = 3PIL a upward over the entire beam as shown. What is the ratio of the maximum stress to the stress at the location Aimum moment? ЗР 90 = P= 220 N P 220 N Mo = 90 N-m В Mo = 90 N-m В A ThA = 50 mm hg= 75 mm : 25 min b = 25 mm L = 500 mm L = 500 mm (b) (a) PROB 30
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![TROB 29
M4 tanered cantilever beam AB having rectangular cross sections is subjected to a concentrated load F
* and a couple Mo = 90 N-m acting at the free end [see figure part (a)]. The width b of the beam
astant and cqual to 25 mm, but the height varies linearly from ha = 50 mm at the loaded end to he = 75 mm
%3D
%3D
14: At what distance x from the free end does the maximum bending stress omax occur? What is
FRenitude aman of the maximum bending stress? What is the ratio of the maximum stress to the largest str
#z äl the support?
(h: Repcat (a) if, in addition to P and Mo, a triangular distributed load with peak intensity qo = 3P/L a
upward over the entire beam as shown. What is the ratio of the maximum stress to the stress at the location
mEimum moment?
3P
90 =
P= 220 N
P = 220 N
Mo = 90 N-m
B
%3D
Mo = 90 N-m
%3D
ThA =
hB
75 mm
$0 mm
1: 25 mm
b = 25 mm
L = 500 mm
L = 500 mm
(b)
(a)
PROR 30
| I|](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0853d91a-0eec-4e5c-8a02-1feb188b2250%2Feec129b6-cef4-4e27-b8ff-cbc17a17ac13%2Fv1zhzii_processed.jpeg&w=3840&q=75)
Transcribed Image Text:TROB 29
M4 tanered cantilever beam AB having rectangular cross sections is subjected to a concentrated load F
* and a couple Mo = 90 N-m acting at the free end [see figure part (a)]. The width b of the beam
astant and cqual to 25 mm, but the height varies linearly from ha = 50 mm at the loaded end to he = 75 mm
%3D
%3D
14: At what distance x from the free end does the maximum bending stress omax occur? What is
FRenitude aman of the maximum bending stress? What is the ratio of the maximum stress to the largest str
#z äl the support?
(h: Repcat (a) if, in addition to P and Mo, a triangular distributed load with peak intensity qo = 3P/L a
upward over the entire beam as shown. What is the ratio of the maximum stress to the stress at the location
mEimum moment?
3P
90 =
P= 220 N
P = 220 N
Mo = 90 N-m
B
%3D
Mo = 90 N-m
%3D
ThA =
hB
75 mm
$0 mm
1: 25 mm
b = 25 mm
L = 500 mm
L = 500 mm
(b)
(a)
PROR 30
| I|
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