Figure Q1(a) shows a fire truck system which consist of a bucket attached at the end of the telescoping arm. Given that the mass of the bucket including the fireman is W = 300 kg, the length of the telescoping arm given as l1= 12= 13= 10 m, with cross- sectional areas of A1= 40 cm2, A2= 20 cm? and A3= 5 cm? and Young's modulus, E = 2.5 x 1011 Pa. (i) Analyze the total stiffness of the telescoping arm in a vertical direction. (ii) Determine the natural frequency of the system.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.12P: A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30...
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Stiffness equation:
W
A; E;
kp
Bucket
li
R
13, A3
Telescoping arm
2, A2
4, A1
45°
Figure Q1
-----
---
Transcribed Image Text:Stiffness equation: W A; E; kp Bucket li R 13, A3 Telescoping arm 2, A2 4, A1 45° Figure Q1 ----- ---
Figure Q1(a) shows a fire truck system which consist of a bucket attached at the end
of the telescoping arm. Given that the mass of the bucket including the fireman is W
= 300 kg, the length of the telescoping arm given as l1= l2= 13= 10 m, with cross-
sectional areas of A1= 40 cm?, A2= 20 cm² and A3= 5 cm? and Young's modulus, E
= 2.5 x 1011 Pa.
Q1
(a)
(i)
Analyze the total stiffness of the telescoping arm in a vertical direction.
(ii)
Determine the natural frequency of the system.
Transcribed Image Text:Figure Q1(a) shows a fire truck system which consist of a bucket attached at the end of the telescoping arm. Given that the mass of the bucket including the fireman is W = 300 kg, the length of the telescoping arm given as l1= l2= 13= 10 m, with cross- sectional areas of A1= 40 cm?, A2= 20 cm² and A3= 5 cm? and Young's modulus, E = 2.5 x 1011 Pa. Q1 (a) (i) Analyze the total stiffness of the telescoping arm in a vertical direction. (ii) Determine the natural frequency of the system.
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