P A В C 60 mm 60 mm 0.5 m -0.2 m→
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Before the load P was applied, a gap, ?0(2.75mm) existed between the cantilever beam AC and
the support at B. Knowing that E=200 GPa, determine the magnitude of P for which the
deflection at C is δ(5.5mm) and the reaction at B.
(Hint: Use the method of superposition and beam deflections in Appendix A)
![P
A
В
60 mm
og.
60 mm
0.5 m
-0.2 m→](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9ba0b78-ff2d-4947-9ef3-28a985804a8b%2F8082b2f0-bc81-4b86-a575-d4e66822f57f%2F73av0g_processed.png&w=3840&q=75)
Transcribed Image Text:P
A
В
60 mm
og.
60 mm
0.5 m
-0.2 m→
![Appendix A
Beam Deflections and Slopes
gbx
(3L + 3a – 2x)
12EI
(0sxsa)
qbx
2EI +a - x)
(0sxsa)
* - 4Lr + 6L?r²– 4a'x + a*)
(a SxS L)
24EI
=- – 3Lr² + 3Ł?x – a')
6EI
(aSrS L)
qa*b
12E 3L + a)
qabL
2EI
At x= a: v=-
8g =
24EI
24E7 (3L* - 4a'L +a)
Og =
6EI
P
(3L - x)
6EI
Px
(2L – x)
2EI
PL
PL?
Og =
2EI
3EI
Pr
«За — х)
6EI
Px
(2a – x)
2EI
(0Sxsa)
Pa
3х — а)
6EI
Pa
2EI
(a sxs L)
Pa
Pa
At x= a: v =
3EI
2EI
Pa
(3L – a)
6EI
Pa
2EI
Mox
EI
2EI
Mo
MOL?
8g =
2EI
MoL
Oz =
EI](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9ba0b78-ff2d-4947-9ef3-28a985804a8b%2F8082b2f0-bc81-4b86-a575-d4e66822f57f%2Fsllpvn_processed.png&w=3840&q=75)
Transcribed Image Text:Appendix A
Beam Deflections and Slopes
gbx
(3L + 3a – 2x)
12EI
(0sxsa)
qbx
2EI +a - x)
(0sxsa)
* - 4Lr + 6L?r²– 4a'x + a*)
(a SxS L)
24EI
=- – 3Lr² + 3Ł?x – a')
6EI
(aSrS L)
qa*b
12E 3L + a)
qabL
2EI
At x= a: v=-
8g =
24EI
24E7 (3L* - 4a'L +a)
Og =
6EI
P
(3L - x)
6EI
Px
(2L – x)
2EI
PL
PL?
Og =
2EI
3EI
Pr
«За — х)
6EI
Px
(2a – x)
2EI
(0Sxsa)
Pa
3х — а)
6EI
Pa
2EI
(a sxs L)
Pa
Pa
At x= a: v =
3EI
2EI
Pa
(3L – a)
6EI
Pa
2EI
Mox
EI
2EI
Mo
MOL?
8g =
2EI
MoL
Oz =
EI
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