The Flexor loading micrometer will be used to load the beam. Calculate the deflectionrequired to bend the beam to the desired strain.Deflection in a cantilever beam b inches wide by t inches thick is:4PL3y =Ebt3%3D(4)where:y= deflection (in), P= force, lbs, L= distance from clamp to loading micrometer (10.0 in), E =Young's modulus for aluminum (10.4E6 psi).%3D%3DStress at the rosette is given by:Mc/ = 6Px(5)%3Dbt2where:x= the distance from the loading micrometer to the rosette centerline (9.0 in), and P, b and t areas defined above.Using equations (4) and (5) above, determine the deflection required to impose a 15 Kpsistress in the beam at the gage rosette centerline. What force will be applied by the loadingmicrometer at 15Kpsi? Do your work in the space below.

On substituting the given values of 'L', 'E' in the given equation of deflection we get y…

The Flexor loading micrometer will be used to load the beam. Calculate the deflection equired to bend the beam to the desired strain. Deflection in a cantilever beam b inches wide by t inches thick is:

The Flexor loading micrometer will be used to load the beam. Calculate the deflection equired to bend the beam to the desired strain. Deflection in a cantilever beam b inches wide by t inches thick is:

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.7.1P: The cantilever beam ACB shown in the figure has moments of inertia /, and I{in parts AC and CB,...

See similar textbooks

Related questions

Q: to Item 1, calculate for the moment of inertia with respect to the neutral axis in mm4. In reference…

Q: A flat steel bar, 28 mm wide by 3 mm thick and 1.5 m long, is bent by couples applied at the ends so…

Q: A flat steel bar, 26 mm wide by 5 mm thick and 1.6 m long, is bent by couples applied at the ends so…

Q: Calculate the maximum displacement (U max), the maximum bending moment Mmax, and the maximum stress…

Q: 8. Compute Ihe maximum shear force in Ihe beam. 100 lb 200 20 in the oem if is Cubecad

Q: BA simply supported beam carries a unifromly distributed load of intensity 30 N/mm over the entire…

A: Calculating vertical Centroid for T section Part Ai (mm2) yi (mm) Ai yi 1 175 ×25=4375 87.5…

Q: 15 kip*ft 12 in 10 in 6 ft

Q: A 2.5m long sim ply supported beam having 30 mm wide and 75 mm m depth. Compute the maximum bend ing…

A: Given:-L=2.5 mrectangular section=30×75mmE=205 GPaF=15 KNh=65mmTo find:-Maximum deflectionMaximum…

Q: 4. Compare the deflection values for both cases given below, Which one is safer if the limit is…

Q: Problem 1. The T-beam is subjected the load condition as shown in Figure 1. 1. Drew shear diagram of…

Q: Find the deflection at point A.

Q: Question 4 Determine the eguation of the deflection cune of the Contilever beam loaded as shown in…

A: Given :- Determine the equation of the deflection curve of the Cantilever beam loaded as shown in…

Q: Given a cantilever beam with given loadings and cross-section as shown in the figures, what is the…

Q: Compute the slope and deflection of the simply supported beam shown in figure Q2a. Assume value of E…

Q: For a beam with a length of 200 mm, a width of 20 mm and a height of 3 mm, calculate the maximum…

Q: A cantiliver of length 20 m is subjected to a point load of 35 kN and a moment of 40 kN m at its…

A: Given data: The length of the cantilever beam is L = 20 m. The point load is F = 35 kN. The moment…

Q: Find the slope deflections using unit load method or any other method in the text book. For the beam…

A: The deviation is the level at which a structural element is moved under the load (due to its…

Q: Find the deflection at load F by Castigliano's Theorem in a bow and arrow. Draw a Free-body diagram…

A: Draw a free body diagram.

Q: a concentrated load p= 45200 N is applied at the of a fixed beam of length 1.54m depth 112mm width…

A: Given, p =45200N, Length = 1.54m, depth =112mm, width=96 mm and E=182775 N/mm2. We have to find…

Q: PLEASE SHOW THE FBD/s 7. Write the moment equation for the entire beam. Place your answer in a box.…

A: The free body diagram of the given beam is here, RAH and RAV are the horizontal and vertical…

Q: Read the question carefully and give me right solution with clear calculations. A cantilever beam…

Q: 10) In the figure shown, the deflection of mercury is initially 250mm. If the pressure at a is…

A: The pressure difference between the point A and point B can be determined as,

Q: Q1: A simply supported beam has a concentrated load at the center which fluctuates from a value of P…

A: Concept Of Machine Design Elements Used

Q: A flat steel bar, 29 mm wide by 5 mm thick and 1.5 m long, is bent by couples applied at the ends so…

Q: Figure 2 Compute the stiffness matrix D-1 for D in (a) by using Cramer's rule. List the forces…

Q: 6.25 Compute the midspan value of EIð for the simply supported beam carrying a uniformly distributed…

A: Given:

Q: Q-4 Compute the value of Ely at midspan for the beam loaded shown in fig (12.5 ) 500 N 450 N/m A B…

A: Let the reaction at A and B be RA + RB. RA + RB = 500 + 450×2 = 1400Taking the moment about D, we…

Q: Determine the critical load for the beam shown in the figure. S B.

A: given; vertical load (RV)=Phorizontal load(RH)=Slength(AB)=l

Q: A flat steel bar, 27 mm wide by 2 mm thick and 1.2 m long, is bent by couples applied at the ends so…

Q: Problem 2: The cantilever beam shown below consists of two structural steel channels, size 3 in x 5…

A: Draw the FBD for the given question. Now write the given values along with suitable variables and…

Q: Draw the shear diagram Draw the moment diagram Find the Maximum deflection

A: We can answer up to 3 subparts only so we will answer first 3. Please resubmit the question by…

Q: Compute the deflection at C uperposition method.

A: Deflection at a point by superposition method :- It is the summation of deflection at a point due to…

Q: cantilever beam AB supporting a triang load of maximum intensity qo is sho ive the equation of the…

A: The maxm load at sction , x-xconsider the triangle BAC , BA1C1…

Q: Which of the following most nearly gives the value of P, in N, that will cause a zero deflection at…

Q: A beam has a rectangular cross section 80 mm wide and 120 mm deep. It is subjected to a bending…

Q: A flat steel bar, 26 mm wide by 5 mm thick and 1.2 m long, is bent by couples applied at the ends so…

Q: Use the slope deflection method by using the graphical method to calculate deflections and draw…

Q: For beam load shown identify the following items. a. Maximum shear force is b. Maximum moment is C.…

A: given data; ⇒load intensity (w)=0.5K/ft=1.102lb/ft⇒AB=16ft⇒lets take reaction force at A=RA⇒and…

Q: For Beam AB (EI Constant), use 1. The Deflection at C 2. The Rotation at Support A.

Q: Explain about Deflections of beams by double integration method with example ؟

Q: The static transverse deflection of simply supported beam with a uniformly distributed load (UDL) is…

A: Answer is (b) 5wl4 /384EI

Q: Compute the initial deflection of the beam at midspan under service loads with the following…

Q: Calculate the force on the rod, if the rod is placed at midspan, that will eliminate the deflection…

A: To determine the reaction force in the rod if it is placed at the mis span.

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

The Flexor loading micrometer will be used to load the beam. Calculate the deflection
required to bend the beam to the desired strain.
Deflection in a cantilever beam b inches wide by t inches thick is:
4PL3
y =
Ebt3
%3D
(4)
where:
y= deflection (in), P= force, lbs, L= distance from clamp to loading micrometer (10.0 in), E =
Young's modulus for aluminum (10.4E6 psi).
%3D
%3D
Stress at the rosette is given by:
Mc/ = 6Px
(5)
%3D
bt2
where:
x= the distance from the loading micrometer to the rosette centerline (9.0 in), and P, b and t are
as defined above.
Using equations (4) and (5) above, determine the deflection required to impose a 15 Kpsi
stress in the beam at the gage rosette centerline. What force will be applied by the loading
micrometer at 15Kpsi? Do your work in the space below.

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

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

A simple beam with an overhang is subjected to d point load P = 6kN. If the maximum allowable deflect ion at point C is 0.5 mm, select the lightest W360 section from Table F-l{b) that can be used for the beam. Assume that L = 3 m and ignore the distributed weight of the beam.
Copper beam AB has circular cross section with a radius of 0.25 in. and length L = 3 ft. The beam is subjected to a uniformly distributed load w = 3.5 lb/ft. Calculate the required load P at joint B so that the total deflection at joint B is zero. Assume that£ = 16,000 ksi.
The deflection curve for a cantilever beam AB (sec figure) is given by v=q0x2120LEI(10L210L2x+5Lx2x3) Describe the load acting on the beam.
Obtain a formula for the ratio c/maxof the deflection at the midpoint to the maximum deflection for a simple beam supporting a concentrated load P (see figure). From the formula, plot a graph of c/max versus the ratio a/L that defines the position of the load (0.5 < a/L < ) What conclusion do you draw from the graph? (Use the formulas of Example 9-3.)
Beam ACB hangs from two springs, as shown in the figure. The springs have stiffnesses Jt(and k2^ and the beam has flexural rigidity EI. What is the downward displacement of point C, which is at the midpoint of the beam, when the moment MQis applied? Data for the structure are M0 = 7.5 kip-ft, L = 6 ft, EI = 520 kip-ft2, kx= 17 kip/ft, and As = 11 kip/ft. Repeat part (a), but remove Af0 and instead apply uniform load q over the entire beam.
A heavy object of weight W is dropped onto the midpoint of a simple beam AB from a height h (see figure). Obtain a formula for the maximum bending stress ^ma* due to tne filing weight in terms of h, st, and 5st, where it is the maximum bending stress and Sstis the deflection at the midpoint when the weight W acts on the beam as a statically applied load. Plot a graph of the ratio o"max/ö"it (that is, the ratio of the dynamic stress to the static stress) versus the ratio iifS^r(Let h/S^ vary from 0 to 10.)
-3 The deflection curve for a simple beam AB (see figure) is given by v=q0x360LEI(7L410L2x2+3x4) Describe the load acting on the beam.
A simple beam AB of length L is subjected to loads that produce a symmetric deflection curve with maximum deflection S at the midpoint of the span (see figure). How much strain energy U is stored in the beam if the deflection curve is (a) a parabola and (b) a half wave of a sine curve?
-5 Calen1ate the deflections S 3a nd
A cantilever beam has a length L = 12 ft and a rectangular cross section (b = 16 in., h = 24 in.), A linearly varying distributed load with peak intensity q0acts on the beam, (a) Find peak intensity q0if the deflection at joint B is known to be 0.18 in. Assume that modulus E = 30,000 ksi. (b) Find the location and magnitude of the maximum rotation of the beam.
-6 Calculate the maximum deflection of a uniformly loaded simple beam if the span length L = 2.0 m, the intensity of the uniform load q = 2.0 kN/m, and the maximum bending stress = 60 MPa, The cross section of the beam is square, and the material is aluminum having modulus of elasticity E = 70 GPa. (Use the formulas of Example 9-1.)
Beam ABC is loaded by a uniform load q and point load P at joint C. Using the method of superposition, calculate the deflection at joint C. Assume that L = 4 m, a =2ra, q = 15 kN/m, P = 7.5 kN, £ = 200 GPa, and / = 70.8 X 106 mm4.