Question 1Figure 1(a) shows an overhead travelling crane, consisting of a girder which is simply supported at itsends, a trolley, and a wire rope.The girder is made of steel, having a span of 40 m, an area moment of inertia (I) of 0.03 m², and amodulus of elasticity (E) of 210 GPa. The trolley has a mass (m1) of 1200 kg, and the load being liftedhas a mass (m2) of 5200 kg and the wire rope has a stiffness (k) of 360 kPa. The system can be modelledas a two-degree-of-freedom as shown in Figure 1(b).(a) Find the natural frequencies of the system.(b) Find and also sketch the mode shapes of the system.Girder;Trolleykg E, IWireгореLoadlifted(a)(b)Figure 1E h00000

Answered: Image /qna-images/answer/41a1b5dc-d320-4f2d-87ee-642c1fbbce4b.jpg

Question 1 Figure 1(a) shows an overhead travelling crane, consisting of a girder which is simply supported at its ends, a trolley, and a wire rope. The girder is made of steel, having a span of 40 m, an area moment of inertia (I) of 0.03 m*, and a modulus of elasticity (E) of 210 GPa. The trolley has a mass (mı) of 1200 kg, and the load being lifted has a mass (m2) of 5200 kg and the wire rope has a stiffness (k) of 360 kPa. The system can be modelled as a two-degree-of-freedom as shown in Figure 1(b). (a) Find the natural frequencies of the system. (b) Find and also sketch the mode shapes of the system. Girder; Trolley kg. E, I Wire rope Load lifted (a) (b) Figure 1

Question 1 Figure 1(a) shows an overhead travelling crane, consisting of a girder which is simply supported at its ends, a trolley, and a wire rope. The girder is made of steel, having a span of 40 m, an area moment of inertia (I) of 0.03 m*, and a modulus of elasticity (E) of 210 GPa. The trolley has a mass (mı) of 1200 kg, and the load being lifted has a mass (m2) of 5200 kg and the wire rope has a stiffness (k) of 360 kPa. The system can be modelled as a two-degree-of-freedom as shown in Figure 1(b). (a) Find the natural frequencies of the system. (b) Find and also sketch the mode shapes of the system. Girder; Trolley kg. E, I Wire rope Load lifted (a) (b) Figure 1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Consider a structure including the horizontal beam AB hinged to the wall at point A and supported by…

Q: Determine the force in member HG of the truss, and state if the member is in tension or compression.…

Q: A 1.5m + 1.5m B P₁ = 400 kN E m-1 0.6 m 2.1 m- D 2.4 m P₂ = 360 kN

Q: Wight 5 N High=10in 10 3.5 20 7 Width=1 in 40 16 20 9.9 10 Depth=5in 4 2 Calculation: Consider a…

A: Write the given data in the problem. L=10 in=10 in25.4 mm1 in=254 mmt=1 in=1 in25.4 mm1 in=25.4…

Q: Problem 1.12: A journal 25 mm in diameter and supported in sliding bearing has maximum end reaction…

A: Given data: d=25 mmW=25 kNPb=5 N/mm2 Need to determine the length of sliding bearing.

Q: Pravinbhai

A: The objective of the question is to calculate the deflection at pulley B and point C of a steel…

Q: Wight Deflection 5 N High=10in 10 3.5 20 7 Width=1 in 40 16 20 9.9 10 6. Depth=5in 5 4 Calculation:…

A: Given dataHeight = L = 10 inch = 0.254 mWidth = t= 1 inch = 0.0254 mDepth = h = 5 inch = 0.127 m…

Q: You need to design plunge board for diving competition as shown in figure. The board is a cantilever…

A: To choose: The correct option.

Q: 25 000 N 0.8 m 0.8m D A E1.6m) Cal culate: * The Support reactions ->

A: given; lets take reaction force at A =RAlets take reaction force at B =RBAB=1.6mAF=0.8m

Q: QUESTION 1: [Method of Sections| For the simple truss in figure Q1 below, 9 kN 6 kN 3 kN 3 m в 3 m 3…

A: Given:- To Find:-1 structure is statically determinate or not2 Draw F.B.D, forces at…

Q: An eccentrically loaded foundation is shown in Figure P4.8. Use FS of 4 and determine the maximum…

A: According to the given information, we have γ=17kN/m3c'=0ϕ'=36°by…

Q: 2. L=3m 16mm dia. E=200GPA W 5 m 5 m I=10x106 mm When the deflection of the rod is 1mm, compute the…

Q: Q2 Figure Q2 shows the cantilever beam being fixed at support A. (a) Construct the free body diagram…

A: given: (a) free body diagram of the member;

Q: axial load (in kN) is

A: Given: For a simply supported steel column at both ends: length=1.5 mcross-section area=15 mm×10…

Q: (b) V brakes Question Four A long retaining wall is braced by wood shores set at an angle of 30° and…

Q: Q1) A homogeneous of M kg bar AB is supported at either end by a cable as shown in figure beside. If…

A: Draw the free-body diagram of the bar AB.

Q: B/ A steel robotic arm carries a payload of (444.82 kg) has a dimension of (1.524 m) length, (0.1524…

A: A robotic arm is a very useful part of a robot that can move in multiple ways based on the…

Q: Example: Body M shown in figure weighs (300 N) and the homogeneous bar BE weighs (60 N). Draw the…

Q: Find the tension in the cables and the reaction force point O

Q: 2. The figure shows a spring toy. The toy weight is 100 N. The spring free-length is 500 mm, mean…

A: Given that, Weight of the toy, W=100 N,Length of the spring, L=500 mm,Mean diameter of the spring,…

Q: D B

Q: 12. Twelve pieces of mass, connected by a string (see figure), are free to move by means of two…

Q: please answer the question below and explain steps as this is intended for revision. many thanks

A: The objective of this question is to find the position 'x' on the beam where the load 'P' should be…

Q: a uct ang ular Ahaped block with dimensions : L= 127 mm, W's 127 mm, H= 7e. 2 mm is subjected to…

Q: Parvinbhai

A: The objective of the question is to determine the critical location where stress will be a maximum,…

Q: (TT B H L Data Input • A distributed load p = 4.4 t/m, with L = 11 m and H = 7 m, acts on a…

A: Three hinged arc A three-hinged arch is geometrically unchangeable statically determinate structure…

Q: A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to…

Q: B Bh 1.8m Ah 2.2m (1.5C)kN Av Figure 2

A: Given: The value of the vertical load is, F=1.5C. Forces Av and (1.5C) kN make a counterclockwise…

Q: Example: Body M shown in figure weighs (300 N) and the homogeneous bar BE weighs (60 N). Draw the…

Q: Two steel pipes are used to support a 50KN load, as shown below. The pipes are connected to the wall…

A: Draw the FBD and find supports reactions

Q: Find the normal efforts for truss bars illustrated (draw and compression). Consider loads in kN and…

Q: A wood beam supports the loads shown. The cross-sectional dimensions of the beam are shown in the…

A: Given LAB=3.7 mLBC=1 mLCD=1.8 mw=12.1 kN/mP=14.5kNb1=10 mmb2=95 mmd1=100 mmd2=240 mm

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Figure:

Calculation:

Calculation:

Calculation:

Mode Shape Figure:

Mode Shape Figure:

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

CONCEPTUAL: 1. Consider a deformable homogenous siender rod of constant area along its length. It is axially loaded at points A and C. According to Saint-Venant's Principle, which of the following point(s) islare the actual maximum axial stress underestimated the most by the average stress? B F L PROBLEM SOLVING: A rigid bar is supported by three non-rigid steel rods, as shown. Rods AB and FG are 0.8m long with a cross-sectional diameter of 30mm. Rod CDE is made up of equally-long 0.40-m CD and DE whose cross-sectional diameters are 60mm and 30mm, respectively. A 45KN downward load is applied to the rigid bar. There is no initial strain before the application of the load. Let E steel-200GP. 2. Determine the internal forces on rods AB, CDE, and FG 3. Determine the displacement of the rigid bar. 4. If the allowable displacement of the horizontal rigid bar is 0.071mm downwards, what maximum allowable vertical load can be applied for a factor of safety of 3? 0.40 m 60mm D 0.8 m 30mmo 0.8 m…
1. Simple crane as shown in Fig. 1, known load P=2kN, α= 45°, ß= 30 °, the size of pulley is negligible, and the self-weight of each rod is negligible. Try to find the force on rod AB and rod AC. (0)
bar AB is Q1) A homogeneous of M supported at either end by a cable as shown in figure beside. If the stress is not to exceed 75 MPa in bronze and 110 MPa in steel. And the diameter of bronze cable is 25 mm while for steel cable is 20 mm. Calculate the maximum safe mass M that can be carried by these cables. (1300) Bronze A 8m Steel
The beam supports the triangular distributed load shown below with Wmax = 900 lb/ft. The reactions at A and B are vertical. (Figure 1) Figure AT PORCE 6 ft D 6 ft C 6 ft W IB TODAY E 4.5 ft 4.5 ft Part A Determine the magnitude of the resultant internal normal force on the cross section at point D. Express your answer in kilopounds to three significant figures. ND= Submit Part B Vp= Submit Part C ΠΙΑΣΦΗΜ Mp= Avec Submit Request Answer Determine the magnitude of the resultant internal shear force on the cross section at point D. Express your answer in kilopounds to three significant figures. ΠΙΑΣΦΩΤ Request Answer n Request Answer vec 1 → C vec S S ? Determine the magnitude of the resultant internal bending moment on the cross section at point D. Express your answer in kilopound-feet to three significant figures. [Γ]ΑΣΦ [4 O I ? kip ? kip kip.ft
A circular steel bar of length 10 m having 0.5 N/m of specific weight is hanging on its self weight. The diameter of the bar is 0.5 m. Calculate the elongation in bar due to its self weight.
A uniform beam, 1.5 metre long, is suspended in a horizontal position by two vertical support rods as shown in the figure below. Rod A has a diameter of 12 mm and manufactured from steel with Esteel = 210 GPa. Rod B has a diameter of 16 mm and is made from copper with Ecopper = 105 GPa. This simply supported beam is to carry a motor vehicle engine and gearbox weighing 5,5 kN. Determine the distance ‘x’ from the left-hand support ‘A’ in order for the beam to remain in a horizontal position. Calculate the stress in each rod due to the applied load. Calculate the movement (extension) of the support wires under this 10 kN load. Will the rods be able to withstand the applied load? Motivate your answer.
PLEASE ANSWER THIS QUESTION ASAP!!!
A slip collar with weight W = 150 pounds falls from a height h = 2 inch. Towards a flange located at the bottom of a vertical slender bar. The bar has a length L = 4 feet and a section area transversal A = 0.75 in2 and its modulus of elasticity is E = 30 x 106 psi. Calculate the following amounts: a) the maximum downward displacement of the flange b) The maximum tensile stress in the bar c) The impact factor.
Calculate reactions in pin support (C) and tension in the cable, neglect weight effects * В D C 60 A 2 m 200 N 1m- 1 Add file
For the truss shown in the figure below, determine: 2 m 30 2 m 10 kN A D I I I Figure Q2.1: Simple truss 3.1. Determine the classification of the truss shown in the figure Q2.1.
Please don't provide handwritten solution...