The rigid bar AB is supported by a pin at B and by two the cables AC (perpendicular to the beam)and AD (inclined with respect to the beam) attached at A as shown in Fig. 3..ALPC30 inDB80 instress, o (MPa)60050040030020010000.00125,2500,00.020.04strain, & (mm/mm)0.05, 600Figure 3. Rigid bar supported by cables and stress-strain curve for the cables.If the applied point load P produces a counterclockwise rotation of the rigid bar AB of 7.5°, andboth cables have a diameter of 5 mm, find :The normal strain for both wires using both the small angle approximation and exactgeometrical analysis (no approximations of any kind). Is the approximation better for onecable than for the other?

Answered: Image /qna-images/answer/7ffb6e75-b4f8-4b08-a1cc-fbd7865cda47.jpg

both cables have a diameter of 5 mm, find : The normal strain for both wires using both the small angle approximation a geometrical analysis (no approximations of any kind). Is the approximation bett cable than for the other?

both cables have a diameter of 5 mm, find : The normal strain for both wires using both the small angle approximation a geometrical analysis (no approximations of any kind). Is the approximation bett cable than for the other?

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: Same problem is considered here again using three equal length elements. Suppose that the strain…

A: Given Data :- Strain energy of element 1 ( u1) = 0.09 N.m Strain energy of element 2 ( u2) = 0.17…

Q: A bar BD is held in a horizontal position when there is no load by the steel wire AB. When a weight…

A: The cross sectional area of wire is The modulus of elasticity is The yield strength is The…

Q: ɛ=-100µ 120° 120° ► x ɛ=200µ ɛ=-200µ 3D

Q: PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight…

Q: If Young's modulus of some material is 150 GPa and shear modulus is 50 GPa, find the poisson's ratio…

A: Given, Young's modulus = E = 150 GPa Shear modulus = G = 50 GPa Let us consider, Poisson's ratio…

Q: If the stress is 33 MPa and Modulus of elasticity is 58.7 MPa. What is the strain value. Apply hooks…

A: Given data Stress= 33mpa Modulus of elasticity= 58.7 mpa We have to find strain value

Q: Find the longitudinal strain Change in length=0.45 mm Initial length=1000 mm

A: Given data : Initial length=L Change in length=∆L To find : Strain

Q: Determine the shear stress Try that acts at point A. Express your answer to three significant…

A: Solution: GIven Data: d = 40 mm Fx = 1350 N Fy = 540 N Fz = 920 N

Q: Find the tensile stress in the rod having a diameter of 25 mm subjected to a tensile load of 500 N.…

A: Given, Diameter of rod = d = 25 mm Tensile load = P = 500 N Young's modulus = E = 200 GPa = 200 x…

Q: A steel wire having cross section area 2 mm2 is stretched by 10 N. Find the lateral strain produced…

Q: erial when longitudinal strain is 0.12mm/mm and transverse strain is -0.03

A: Given data Longitudinal strain=0.12mm/mm Transverse strain=-0.0396mm/mm

Q: Whenever material is subjected to compressive load within the elastic limit, stress is nonlinear to…

A: The above graph shows the relation between engineering stress v/s engineering strain. P -> Limit…

Q: Find the lateral strain Poisson ratio=0.334 Longitudinal strain=0.00546

Q: A closed thin walled cylindrical vessel has a diameter D of 890 mm, a wall thickness t of 1.5 mm and…

Q: find the axial strain

A: Given; Young modulus =100 GPaPoisson's ratio=0.3 Find axial strain of the container material ?

Q: Calculate the longitudinal strain, if internal pressure is 1.2 N/mm2 and 1 m in diameter along with…

Q: 3 From the properties of characteristic equation of strain 3 Σε

A: Answer: False

Q: Find the elongation of wires AC and AB if the length of the wire is 106 mm and 151 mm respectively.…

A: Given: Length of wire AC→LAC=106 mm Length of wire AB→LAB=151 mm Cross sectional area of both the…

Q: A steel bar 250 mm long, 40 mm wide and 30 mm thick subjected to a pull of 200 kN in the direction…

A: Given data: The length of the steel bar is l=250 mm The width of the steel bar is w=40 mm The…

Q: Find the value of strain if stress is 55 N/mm2 and elasticity is 10000 N/mm2

Q: Same problem is considered here again using three equal length elements. Suppose that the Young's…

A: Given: E = 19 GPa = 19×109 Pa P = 35 kN = 35000 N A1= 30 mm2 = 30×10-6 m2 Total length, L = 15 cm =…

Q: SEE IMAGES AND FIND ANSWERS... PLEASE

A: Given data as per the question Considering the given diagram and drawing the free body diagram

Q: The minimum principal strain is:

Q: Find the lateral strain Poisson ratio=0.334 Longitudinal strain=0.00546

A: Given data : Poisson ratio μ=0.334 Longitudinal strain εL=0.0546 Required : Lateral strain

Q: Problem 5: An experiment was set up according to Figure 5 with the followings L = 12 inches LB110…

A: Write the given data. L=12 inLB1=10 inLB2=9 inw=1 int=0.25 inP=5 lbsLongitudinal strain,…

Q: If the stress is 33 MPa and Modulus of elasticity is 58.7 MPa. What is the strain value. Apply hooks…

A: Given:Stress, σ=33 MPaModulus of elasticity, E=58.7 MPa

Q: Find the longitudinal strain Change in length=0.45 mm Initial length=1000 mm

A: Given : change in length , δL = 0.45 mm initial length, L = 1000 mm To find : longitudinal strain…

Q: A light wire 1.75 m long has a cross-sectional area of 2.3 mm². It is hung vertically and stretches…

A: hookes law states that stress is directly proportional to Strain. Youngs modulus = Stress/Strain…

Q: Find the initial length if value of strain 0.0022 and change in length 0.25 mm

A: Given data: Strain=εChange in length=∆LRequired:Initial length

Q: When a tensile load of 20kN is applied to a rod, the extension of the rod is 0.2 mm and the strain…

A: Given data: Extension in the rod, ΔL = 0.2 mm. Strain, ε = 0.01. The strain equation is, ε=∆LL…

Q: The tension on the Achilles tendon with a diameter of 10 mm is 4000 N ,if the length of the Achilles…

A: Given: Diameterd=10mmTensionT=4000NLengthL=200mmTo find: Lengthening of tendon

Q: Find the value of strain if initial length of rod is 100 m and change in length of rod due tensile…

A: Given data : Initial length of rod=L Change in length of rod=∆L Required : Strain

Q: A 1.9-m-long rigid bar AD is pinned to a wall at A and connected to two wires at B and C as shown in…

A: Given data: The length of the bar AD is L = 1.9 m. The clockwise rotation of the bar AD is θ=3°.

Question

The rigid bar AB is supported by a pin at B and by two the cables AC (perpendicular to the beam)
and AD (inclined with respect to the beam) attached at A as shown in Fig. 3..
AL
P
C
30 in
D
B
80 in
stress, o (MPa)
600
500
400
300
200
100
0
0.00125,
250
0,0
0.02
0.04
strain, & (mm/mm)
0.05, 600
Figure 3. Rigid bar supported by cables and stress-strain curve for the cables.
If the applied point load P produces a counterclockwise rotation of the rigid bar AB of 7.5°, and
both cables have a diameter of 5 mm, find :
The normal strain for both wires using both the small angle approximation and exact
geometrical analysis (no approximations of any kind). Is the approximation better for one
cable than for the other?

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

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

Find strain
The true option
You must perform mechanical tests with a linear elastic material (the material follows Hooke's law) applying forces (tension) in the range 0 to Fmax/2 for Sample A and between 0 to Fmax for Sample B. The samples are made of same material but have different geometries (see illustration). (a) Which of the two samples receives the maximum stress (σmax)? (b) Which of the two samples will have the larger length change (ΔLmax)? (c) Plot the expected curves for the two samples in the force-length and stress-strain planes. (d) Clearly indicate the values that the variables force, length, stress, and strain take at the beginning and end of each curve.
prove that : TL strain Energy = 2 %3D -x Volume 4G %3D 2GJ
Find the Lateral strain Strain=0.005 Longitudinal strain=0.025
When a tensile load of 20kN is applied to a rod of length 5 cm, the strain is 0.05. The change in length of the rod in mm is
2. An Aluminum-alloy block is loaded as shown in the figure. The application of this load produces a tensile strain of 500 x 10 at gage A. Calculate the magnitude of the applied load P. Let E = 100GPa 400mm 120 Gage A P 20mm
I need the answer as soon as possible
Choose the correct option
A large thin rectangular plate is subjected to certain traction boundary conditions on its thin edges. The following stress function is proposed for this problem: 2 p(x,y) = A x¹ + B x²y² + Cy² (i) use the biharmonic equation to find restrictions, if any, on values of A, B, and C (ii) calculate all stress components (iii) calculate all strain components in terms of A, B, and C as well as the Young modulus and Poisson's ratio E and y, respectively. (iv) check that the equilibrium equations are satisfied (v) determine the traction boundary conditions at x=+a and y=+b
If the stress is 33 MPa and Modulus of elasticity is 58.7 MPa. What is the strain value. Apply hooks law
Find the strain Initial length=100 mm Change in length=0.567 mm