Calculate the stiffness(k) and natural period(T) of the structure as shown in the picture. (Ignore the structure's weight and assume the beam is infinite stiffness. g=9.81m/sec^2, E=205GPa, I=72.1*10^6mm^4)

Calculate the stiffness(k) and natural period(T) of the structure as shown in the picture. (Ignore the structure's weight and assume the beam is infinite stiffness. g=9.81m/sec^2, E=205GPa, I=72.1*10^6mm^4)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: For the beam shown in the figure, find the shear stress at a point 30mm above the bottom of the beam…

Q: A rigid beam is supported by bar DE. If the vertical displacement of point D is to be less than 0.1…

A: Let FDE be the force on the bar DE.Vertical displacement at point D will be equal to the change in…

Q: 102 kN/m L/4 L 8 meter

A: Free body diagram - Due to symmetry of forces reaction force at both the ends is same- RF = RG =…

Q: A circular shaft AB of radius Ras shown in the figure below is subjected to torsion T at the free…

Q: Calculate the stresses that will occur at point A in the adjacent figure. r=10mm

A: Given, Fz = 150 kNFy = 150 kNτ = 50 kN.mThere are three stresses at point A normal stress, bending…

Q: Consider the frame shown in the figure: If the axial and shear deformations in different members of…

Q: Q2) Find the value of (X) so that rigid beam shown in Figure (2) remains in horizontal position.…

Q: 50mm a biaxial load that results in B C Given: A “happy-little-cube" of material is subject O = 150…

Q: iven data: L1= 490mm L2=420

A: Draw the diagram From the above diagram sinθ=0.765, Cosθ=0.656Sinα=0.677, cosα=0.830 Calculate the…

Q: Question #3 For the beam shown in Figure 3, a) Determine the maximum compressive bending stress in…

Q: (a) Based on the theory of deflection beam, state the boundary conditions of two beams as shown in…

A: Boundary conditions include slope and deflection.

Q: Please calculate the deflection-y at point 5, and the deflection-x at point 2 based on the following…

A: ####Calculation of deflection Y at 5 and Deflection X at 2 Using Unit load Method of Analysis ####

Q: Q4 Determine the maximum deflection of the beam shown in Figure 4. Take El is constant

A: to find max deflection

Q: Using the "Effects Overlay" of the original beam, using isostatic sub-beams and simulating them…

A: Given that :- Modulus of Elasticity (E) = 200 GPa = 200,000 MPaWeight of the beam (W) = 2.5 Applied…

Q: b) In Figure Q1, an axial load P is applied at point D that is 5 mm from the geometric axis of the…

A: Iy = π/64(1204 - 1124) = 2.455 x 106 mm4 L = 2.8 m = 2800 mm

Q: A sandwich beam having steel faces enclosinga plastic core is subjected to a bending momentM = 5 kN…

A: Given:- M = 5 kN . m. Es = 200 GPa. hp =140 mm, and Ep = 800 MPa. h =146 mm andb =175 mm. To find:-…

Q: A beam with varying load is shown at the figure below. If the beam properties are given, what is the…

A: Given data: Beam width = 276mm Beam depth = 411mm Span length = 9m Varying load = 18.45 Kn/m Pre…

Q: In finite element modelling of tall steel buildings to evaluate the lateral deflection, the ratio…

A: The ratio between the effective moment of a beam to its gross moment of inertia is 0.4

Q: What assumptions have been made in thin plate bending theory? Try to list four kinds of thin plate…

A: Introduction: Thin plate theory, based on the Kirchhoff hypothesis, has been intensively…

Q: 4. Two bars are placed as shown. First, indicate if the bars are "in parallel" or "in series" and…

Q: A rod of homogeneous thickness shown in the figure is AB length L and BC length 2L. Find the angle…

Q: A steel column of length 4.75 m forms part of a support structure and is subjected to an axial…

A: i)Slenderness ratio λ: It is defined as the ratio between effective length minimum radius of…

Q: In the attached image, stresses are acting at a point on the free surface of a stressed body. Here,…

Q: what is the largest allowable intensity wo of

Q: The bar shown determines: a) The internal force in section AB, BC and CD. b) The approach or…

A: Given, Cross sectional area=50 mm2 Modulus of elasticity=200×109 Pa

Q: A uniform bar of length L, cross-sectional area A, and unit mass p is suspended vertically from one…

Q: A tapered circular rod of diameter varying from 30 mm to 20 mm is connected to another uniform…

Q: Problem (8.2): Calculate the maximum deflection 8max of a uniformly loaded simple beam as shown in…

Q: A standard steel shape (I=48.7x10 mm ) is used to support the loads shown on the beam in the figure.…

A: Given data I = 48 .7 × 106 mm4 Neutral axis from top (yt) = 88.9mm Neutral axis from bottom(yb) =…

Q: a) Determine the displacements and stresses, b) Determine the natural frequency of the system. For…

Q: A 7,607 Ib force (Q) is applied over a circular rigid plate of radius (r) 5 inches sitting on an…

Q: A beam with a cross section shown as the shaded area below is subjected to an internal bending…

A: Given :

Q: saw-tooth loading is applied as shown in the figure. The flexural tiffness (EI) of the beam is 1×10³…

A: Given- A propped cantilever beam carrying UVL loading. Required- To calculate support Reactions of a…

Q: Consider the stress element as shown in figure. Determine the total distortion energy stored in 1 m…

A: For given state of stress,Young’s modulus of elasticity as E= 2 × 105 MPaPoisson’s ratio 0.3.

Q: N y J B P A y W x Find the Vertical Position of the Centroid marked as ỷ on the Diagram using the…

A: The answer has been attached in the form of image as follows:

Q: A cross section of a beam is shown. For any moment M, which surface of the cross section will have…

Q: 2. Derive an equation that describes the vertical deflection of the beam, y(x), and also calculate…

Q: A beam AE is subjected to two concentrated forces P. As shown in the figure below, the flexural…

A: Due to symmetry of the loading the reaction at A and E are equal i.e. RA = RE = 2P/2 = P.

Q: Non uniform beam Flexural Rigidity that is -y(x) = = ? Find the deflection of the bean if it is…

A: Beam is non uniform . Length of beam = 2.26 m UDL acting = 92 N/m

Q: What is the area of the tube? What is the total length of the median line? What is the area of the…

A: When one needs to findout the area of any surface or shape or object the main parameters are the…

Q: A bar of length L = 6 m subject to axial vibrations, is split into 3 elements. The bar is clamped at…

Concept explainers

Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1:Find stiffness(K) of the frame.

VIEW

Step 2:Find natural time period(T).

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

determine the maximum displacement of the beam in the figure shown .
2. A uniform, simply supported beam, is loaded as shown in Figure 2. Using singularity functions, determine an expression for the bending moment at any point along the beam. Hence, determine the slope of the beam at point, A, and the deflection of the beam at point, B. The bending stiffness of the beam is 3200 Nm². 320 N 200 N/m 1.2m 0.6m Figure 2 2 A 0.4m X * B D
solve step by step in digital format Solve the following exercises by the conjugate beam method A 18 ft 6 klb/ft
A rigid beam BC is suspended by rods AB and CD as shown in the figure. Rod AB is made in from aluminum while rod CD is made from steel. Determine the location/placement of the 75kN concentrated load within the beam BC such that the rigid beam BC will remain horizontal after deflection. Determine the axial deformation of rods AB and CD.
Example 1: solve the equation = 6x (2y – 1)given the ax? du %3D boundary condition that at x = 0, = sin2y and u = cosy.
B P A y W Find the Vertical Position of the Centroid marked as y on the Diagram using the transform section method, transforming all your material to Material A. Your Answer should be in mm to 1 decimal place. J-22.0 mm, P=76.8 mm, W-187.2mm, Young's Modulus of Material A = 64.5 GPa, Yield Stress of Material A = 145.9 MPa, Young's Modulus of Material B = 94.4 GPa, Yield Stress of Material B = 272.9 MPa.
The beam shown below is suspended from two steel rods as shown and is initially horizontal. The midpoint B of the beam is deflected 15 mm downward by force Q. The steel used for the rods has properties E = 200 GPa and σ = 275 MPa, determinea. the required maximum value of Q.b. the deformation of rod AD.c. the deformation of rod CE.
Consider the stress element as shown in figure. Determine the total distortion energy stored in 1 m cube. (in kNm, round off to two decimal places). Assume Young's modulus of elasticity as 2 x 105 MPa and Poisson's ratio as 0.3. 100 MPa 50 MPa 50 MPa 100 MPa