Draw a sketch to represent the stress distribution

Assignment Help Mechanical Engineering
Reference no: EM13161334

Question 1: Bending about two axes

The load P = 2 kN is applied to the end of rectangular section cantilever beam shown at the right. The load acts within the plane of the end face and at an angle of 30° as illustrated. (a) Calculate the magnitude of the moment acting at the build-in (fixed) end and specify the orientation of the moment vector relative to the principal centroidal axes of the section with the aid of a sketch. (b) Determine the stresses at each corner of the built-in (fixed) end of the beam. (c) Specify the orientation of the neutral axis relative to the principal centroidal axes of the section using a sketch. (d) Draw a sketch to represent the stress distribution on the section.

943_Draw a sketch to represent the stress distribution.png

Question 2: Principal centroidal axes

Consider the unequal angle section illustrated in the figure to the right. (a) Calculate the location of the centroid as defined byzc and yc; (b) Determine the values of Iz, Iy, and Izy for the axes illustrated; (c) Calculate the values of Imax and Imin; (d) Show your calculated orientation of the principal centroidal axes (PCAs) on a sketch of the section, noting the axes associated with Imax and Imin values; and (e) Compare your calculated values for Iz, Iy, and the orientation of the PCAs with available data for the section L 130 x 65 x 8 listed in the tables: European unequal angles.jpg, and discuss the differences.

1309_Draw a sketch to represent the stress distribution1.png

Question 3: Asymmetric bending analysis

This question requires the analysis of data presented on the Study Desk under the heading, Assignment 3 Demonstration. For this demonstration, an unequal angle is clamped at one end and is subjected to a state of bending. Data on the section properties is provided on the Study Desk.

Analysis of the images of the end of the beam is to be performed for comparison with the theoretical results.

In beam bending, the neutral axis defines the orientation of the plane along which direct (normal) strains (and hence, stresses) are zero. The magnitude of the direct strain increases in direct proportion to the distance from the neutral axis and hence the beam deflects in a direction perpendicular to the orientation of the neutral axis.

Required analysis tasks:

(a) Produce a sketch specifying the magnitude and angle of the moment vector relative to the PCAs for the given orientation of the section and the loading.

(b) Using the specified second moments of area and the PCA orientations, determine the expected angle of the neutral axis relative to the horizontal plane and show the neutral axis on a correctly oriented sketch of the section.

(c) Determine the magnitude and location of the expected maximum compressive and tensile stresses within the section when the load is applied.

(d) Analyse the two photographs and account for the measured support rotation effect to specify the horizontal and vertical deflection of the end of the beam that would have occurred if the support was completely fixed. Include a description of the approach you adopted for the analysis of the photographs.

(e) Based on your results in part (d), identify an experimentally-derived orientation for the neutral axis and compare this result with that obtained in part (b) with the aid of a sketch. Discuss possible sources for the differences between the two results.

Question 4: Shear stress in beams

Consider the beam section illustrated in the figure to the right. The beam has a shearing force of V = 5 kN acting vertically through the shear centre as illustrated. (a) Determine the shear stress at the three points in the beam, labelled (i), (ii), and (iii). (b) Produce a plot showing the distribution of shear stress across the beam section, noting the shape of the distributions and key values. (c) Determine the distance e (as shown on the figure) which defines the location of the shear centre of this section. (d) With the aid of a sketch, explain the section rotation that will occur if the line of action of the applied shearing force is through the centroid of the section.

2363_Draw a sketch to represent the stress distribution2.png

Reference no: EM13161334

Questions Cloud

What is wrong with her approach and what would you recommend : 1. In C++, operator
State what are the possible values of n3 : Take N3 as the independent variable and solve for N2 in terms of N3. Then solve for N1 in terms of N2 and N3. b. Taking note that there cannot be a negative population, what are the possible values of N3 ?
What is the morphology of the malaria parasite : In what way does malaria affect normal human functioning ie. mcellular respiration, metabolism, e.t.c.?
State potassium phosphate buffer solution : As a technician in a large pharmaceutical research firm, you need to produce 450. of 1.00 potassium phosphate buffer solution of = 7.38. The of is 7.21. You have the following supplies: 2.00 of 1.00 stock solution
Draw a sketch to represent the stress distribution : Calculate the magnitude of the moment acting at the build-in end and specify the orientation of the moment vector relative to the principal centroidal axes of the section with the aid of a sketch and determine the stresses at each corner of the bu..
What are the risk factors for malaria : How do you test for the diagnosis of malaria?
Write a mips program that will alter an array of 100 doubles : Write a MIPS program that will alter an array of 100 doubles. No input or output is required. We will assume somebody else did it. Your program modifies the elements in the array as described
What are the stages of mitosis : what are the stages of mitosis? and how do they differ from meiosis?
Indicate what type of fat substitute you found : Select two sets of products from your daily diet such as butter/ salad dressing and find similar products that use fat substitutes. Make a list of all the fat substitutes that you find listed on the ingredient labels of the products.

Reviews

Write a Review

 

Mechanical Engineering Questions & Answers

  Calculate the moments of inertia

Determine the coordinates x' and y' of the centroid C of the area shown in the figure and calculate the moments of inertia of the area shown, about ox and oy axes.

  Explain finding metal removal rate

Finding Metal Removal Rate In an electrochemical machining operation, the frontal working area of the electrode is 2.5in squared

  The thermal efficiency of the cycle and the net specific

Determine the thermal efficiency of the cycle and the net specific work. Assume each turbine stage isentropic efficiency to be 99% and assume the FWH is open.

  Explain the stage efficiency

Steam at 15 bar and 350 degrees C is expanded through a 50% reaction turbine to a pressure of 0.14 bar. The stage efficiency is 80% for each stage and the reheat factor is 1.05.

  Design of absorption column and the cooler

Design of absorption column and the cooler. Process design of other units should be completed along with pipe sizes.

  Investigating a dynamic movement in polar coordinates

Investigating A Dynamic Movement in Polar Coordinates

  Determine the external moment

Vertical plane due to the action of the external moment and determine the external moment or force.

  Explain horsepower and efficiency of three-phase motor

Horsepower and efficiency of three-phase motor, If a fully loaded 440V, three-phase motor draws 12.4 A at 86% power factor (pf). It's speed is 1730 rpm and its torque output to a mechanical load is 29.1 lb-ft x 1.356 = 39.5 Nm.

  Explain finding exit velocity from air nozzle

Finding exit velocity from air nozzle, Air enters a nozzle operating at steady state at 800 ºR with a negligible velocity and exits the nozzle at 570 ºR.

  Review journal paper about types of trucks gap and skirts

Need a critical review journal paper about the different types of trucks gap and skirts and boat tails

  Find the minimum power of the pump

Find the minimum power of the pump

  Find the maximum load on bevel gear and shaft

You have a bevel gear and shaft and you have to find the maximum load that can be applied on it.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd