Consider a cantilever beam as shown in Fig 1(a) with the following details: • Young's Modulus = 12,000 MPa • Length of the beam, L = 3.0 m • Beam cross-section = Rectangular (width, b = 0.2m and height, h = 0.3m) • Uniformly distributed load of, w = 2.0 KN/m • Max. allowable deflection, y_max = 5.0 mm B Fig 1(a) Provide complete analysis for the following: a) Is the beam safe against maximum allowable deflection b) It was decided that a machine (weight, F = 10.0 KN) be placed at the center of the beam as shown in figure 1(b). The machine may be idealized as a concentrated load. i. Is the beam still safe under deflection? ii. If allowable deflection is exceeded, propose a design retrofit such that the max. deflection in the beam is under the allowable limit. Please note that you are NOT allowed to change the beam material or cross-section. Assume that during the retrofit, the beam is jacked up to eliminate existing deflection.
Consider a cantilever beam as shown in Fig 1(a) with the following details: • Young's Modulus = 12,000 MPa • Length of the beam, L = 3.0 m • Beam cross-section = Rectangular (width, b = 0.2m and height, h = 0.3m) • Uniformly distributed load of, w = 2.0 KN/m • Max. allowable deflection, y_max = 5.0 mm B Fig 1(a) Provide complete analysis for the following: a) Is the beam safe against maximum allowable deflection b) It was decided that a machine (weight, F = 10.0 KN) be placed at the center of the beam as shown in figure 1(b). The machine may be idealized as a concentrated load. i. Is the beam still safe under deflection? ii. If allowable deflection is exceeded, propose a design retrofit such that the max. deflection in the beam is under the allowable limit. Please note that you are NOT allowed to change the beam material or cross-section. Assume that during the retrofit, the beam is jacked up to eliminate existing deflection.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:Consider a cantilever beam as shown in Fig 1(a) with the following details:
• Young's Modulus = 12,000 MPa
• Length of the beam, L = 3.0 m
• Beam cross-section = Rectangular (width, b = 0.2m and height, h = 0.3m)
• Uniformly distributed load of, w = 2.0 KN/m
• Max. allowable deflection, y_max = 5.0 mm
B
Fig 1(a)
Provide complete analysis for the following:
a) Is the beam safe against maximum allowable deflection
b) It was decided that a machine (weight, F = 10.0 KN) be placed at the center of the beam as shown in
figure 1(b). The machine may be idealized as a concentrated load.
i. Is the beam still safe under deflection?
ii.
If allowable deflection is exceeded, propose a design retrofit such that the max. deflection in
the beam is under the allowable limit. Please note that you are NOT allowed to change the
beam material or cross-section. Assume that during the retrofit, the beam is jacked up to
eliminate existing deflection.
Propose an alternate design retrotit in which you ARE allowed to change the beam cross-
section. Give reason(s) for your decision.
Fig 1(b)
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