Determine the natural frequency of a weight wsimply supported beam (Fig. PI.12). The length of the beam is L, and its flexural rigidity isEI. The spring stiffness is k. Assume the beam to be massless.1.suspended from a spring at the midpoint of a* based on the strength of material course, please find the formula of stiffness for simply supported beams.w= 25 kN50 cmE = 23000 MPa30 cmL= 3.00 mk=45 kN/mEIkFigure P1.12

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Determine the natural frequency of a weight w suspended from a spring at the midpoint of a simply supported beam (Fig. Pl.12). The length of the beam is L, and its flexural rigidity is EI. The spring stiffness is k. Assume the beam to be massless. * based on the strength of material course, please find the formula of stiffness for simply supported beams. w= 25 kN E = 23000 MPa L=3.00 m k 45 kN/m 50 cm %3D 30 cm El k Figure P1.12

Determine the natural frequency of a weight w suspended from a spring at the midpoint of a simply supported beam (Fig. Pl.12). The length of the beam is L, and its flexural rigidity is EI. The spring stiffness is k. Assume the beam to be massless. * based on the strength of material course, please find the formula of stiffness for simply supported beams. w= 25 kN E = 23000 MPa L=3.00 m k 45 kN/m 50 cm %3D 30 cm El k Figure P1.12

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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Concept explainers

Design criteria for structural loading

The different loads such as loads due to self-weight (dead load) and external loads such as live load, wind loads, seismic load, snow load, and other loads and load combinations that influence the design of a building are called structural loading. The nature of the applied load differs from changes in the location, design, and type of materials used. The design criteria require that structures must be designed and constructed to be able to withstand all load types that are expected to act upon the structure and render its usage for the designated purpose. The structural members such as beams, slabs, columns, and foundations help the structure to withstand the applied load. There are different institutes such as ASCE and ACI that provide building design codes to assure minimum safety requirements and quality of the structures.

Question

Determine the natural frequency of a weight w
simply supported beam (Fig. PI.12). The length of the beam is L, and its flexural rigidity is
EI. The spring stiffness is k. Assume the beam to be massless.
1.
suspended from a spring at the midpoint of a
* based on the strength of material course, please find the formula of stiffness for simply supported beams.
w= 25 kN
50 cm
E = 23000 MPa
30 cm
L= 3.00 m
k=45 kN/m
EI
k
Figure P1.12

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