The cantilever beam is loaded with Pupward concentrated load acting at distance s from the free- end and the distributed load intensity is defined by the equation W = -7x + 63 in kN per meter is loaded from x = 0m (free end) to x = 9m (fixed end) as shown. The beam has the following properties: E = 200 GPa, I = 2x10⁹ mm A S W P 5m B 3 m C fixed Calculate the following using Area Moment Method or Conjugate Beam Method. B.) If the load P is removed and s = 2.00m, 15. What will be the maximum deflection? 16. What will be the maximum slope? 17. If the maximum deflection is to be limited at 10 mm, what diameter of circular beam is required?
The cantilever beam is loaded with Pupward concentrated load acting at distance s from the free- end and the distributed load intensity is defined by the equation W = -7x + 63 in kN per meter is loaded from x = 0m (free end) to x = 9m (fixed end) as shown. The beam has the following properties: E = 200 GPa, I = 2x10⁹ mm A S W P 5m B 3 m C fixed Calculate the following using Area Moment Method or Conjugate Beam Method. B.) If the load P is removed and s = 2.00m, 15. What will be the maximum deflection? 16. What will be the maximum slope? 17. If the maximum deflection is to be limited at 10 mm, what diameter of circular beam is required?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Roundoff your answer to
Deflections, locations, forces & Moments:
decimal places
Slopes
Diameters
W
The cantilever beam is loaded with Pupward
concentrated load acting at distance s from the free-
end and the distributed load intensity is defined by the
equation W = -7x + 63 in kN per meter is loaded from x
= 0m (free end) to x = 9m (fixed end) as shown. The
beam has the following properties:
E = 200 GPa, I = 2x10⁹ mm4
5m
5 decimal places
round up to whole number
2
B
3m
C
fixed
Calculate the following using Area Moment Method or Conjugate Beam Method.
B.) If the load P is removed and s = 2.00m,
15. What will be the maximum deflection?
16. What will be the maximum slope?
17. If the maximum deflection is to be limited at 10 mm,
what diameter of circular beam is required?
18. If the maximum slope is to be limited to 0.20
degrees, what diameter of circular beam is required?
19. If the bending stress at the fixed support is to be
limited to 30 MPa, what diameter of circular beam is
required?
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