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Problem 2: The following details are given for the vertical rectangular concrete foundation (embedded): Foundation: Length = 2.4 m; Width = Height = 1.8 m Depth of foundation, Dy= 1.5 m Unit weight of concrete = 24 kN/m³ Vibrating machine: Weight = 100 kN Frequency dependent amplitude of vibrating force 9 kN At an operating speed of 500 cpm. Soil: Gs = 25 MPa; G=22 MPa; μ-0.25; ys 18.8 kN/m³ (for side layer) Y= 19.5 kN/m³ (below the base). Determine: a) Damped natural frequency b) Amplitude of vertical vibration at resonance c) Amplitude of vibration at operating speed.

Problem 2: The following details are given for the vertical rectangular concrete foundation (embedded): Foundation: Length = 2.4 m; Width = Height = 1.8 m Depth of foundation, Dy= 1.5 m Unit weight of concrete = 24 kN/m³ Vibrating machine: Weight = 100 kN Frequency dependent amplitude of vibrating force 9 kN At an operating speed of 500 cpm. Soil: Gs = 25 MPa; G=22 MPa; μ-0.25; ys 18.8 kN/m³ (for side layer) Y= 19.5 kN/m³ (below the base). Determine: a) Damped natural frequency b) Amplitude of vertical vibration at resonance c) Amplitude of vibration at operating speed.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Problem 2: The following details are given for the vertical rectangular concrete foundation (embedded): Foundation: Length = 2.4 m; Width = Height = 1.8 m Depth of foundation, D/= 1.5 m Unit weight of concrete = 24 kN/m³ Vibrating machine: Weight= 100 kN Frequency dependent amplitude of vibrating force = 9 kN At an operating speed of 500 cpm. Soil: Gs = 25 MPa; G=22 MPa; μ-0.25; ys 18.8 kN/m³ (for side layer) Y= 19.5 kN/m³ (below the base). Determine: a) Damped natural frequency b) Amplitude of vertical vibration at resonance c) Amplitude of vibration at operating speed.
Transcribed Image Text:Problem 2: The following details are given for the vertical rectangular concrete foundation (embedded): Foundation: Length = 2.4 m; Width = Height = 1.8 m Depth of foundation, D/= 1.5 m Unit weight of concrete = 24 kN/m³ Vibrating machine: Weight= 100 kN Frequency dependent amplitude of vibrating force = 9 kN At an operating speed of 500 cpm. Soil: Gs = 25 MPa; G=22 MPa; μ-0.25; ys 18.8 kN/m³ (for side layer) Y= 19.5 kN/m³ (below the base). Determine: a) Damped natural frequency b) Amplitude of vertical vibration at resonance c) Amplitude of vibration at operating speed.
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