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Name: __________________________________________________________ CWID: ______________________________ HW01-a Average Normal Stress You may (1) print this file and write directly on the hard copy; or (2) annotate the PDF digitally. When done, upload the PDF to Canvas. Keep the master copy in your course binder. All expectations from LE00 are in effect. Part I. BASICS 1 (1) Carefully read the course syllabus. Do you have any questions? If so, please write them here and we will answer them. (2) Imagine that someone pulls on a rubber band. Briefly explain what you see. Use the vocabulary learned in class (average normal stress, tension, compression, etc.). https://drcindysimpson.files.wordpress.com/2013/09/rubber-band.jpg?w=584 (3) Imagine someone crushing garlic with a stainless steel knife. Briefly explain what you see. Use the vocabulary learned in class (average normal stress, etc.). https://imagesvc.meredithcorp.io/v3/mm/image?q=85&c=sc&poi=face&w=2400 &h=1257&url=https%3A%2F%2Fstatic.onecms.io%2Fwp-content%2Fuploads%2 Fsites%2F34%2F2015%2F05%2F12171239%2Fgarlic-0017-d112199_vert.jpg (4) The cross-section of the garlic has an area of 0.3 in 2 and that garlic is known to crush at an average normal stress of 48 psi (pounds per square inch). How much force (N) crushes the garlic? Answer: -14.4# or 14.4# (C) (5) A flat steel eyebar ( bar) is 20mm wide and 5mm thick. The two bolts (not shown) each transfer a force of 2 kN to the eyebar. Compute the average normal stress at Point P and illustrate it on a stress element. 1 Important: see HW00 for a detailed explanation of Part I and Part II. HW01-a Average Normal Stress | CEEN 311 | copyright Prof. Susan Reynolds 2021 | [email protected] | page 1 of 3

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  • Name: __________________________________________________________ CWID: ______________________________

    HW01-a Average Normal StressYou may (1) print this file and write directly on the hard copy; or (2) annotate the PDF digitally. When done,upload the PDF to Canvas. Keep the master copy in your course binder. All expectations from LE00 are in effect.

    Part I. BASICS1

    (1) Carefully read the course syllabus. Do you have anyquestions? If so, please write them here and we willanswer them.

    (2) Imagine that someone pulls on a rubber band. Brieflyexplain what you see. Use the vocabulary learned in class(average normal stress, tension, compression, etc.).

    https://drcindysimpson.files.wordpress.com/2013/09/rubber-band.jpg?w=584

    (3) Imagine someone crushing garlic with a stainless steelknife. Briefly explain what you see. Use the vocabularylearned in class (average normal stress, etc.).

    https://imagesvc.meredithcorp.io/v3/mm/image?q=85&c=sc&poi=face&w=2400&h=1257&url=https%3A%2F%2Fstatic.onecms.io%2Fwp-content%2Fuploads%2Fsites%2F34%2F2015%2F05%2F12171239%2Fgarlic-0017-d112199_vert.jpg

    (4) The cross-section of the garlic has an area of 0.3 in2 andthat garlic is known to crush at an average normalstress of 48 psi (pounds per square inch). How muchforce (N) crushes the garlic?

    Answer: -14.4# or 14.4# (C)

    (5) A flat steel eyebar (👁 bar) is 20mm wide and 5mmthick. The two bolts (not shown) each transfer a force of2 kN to the eyebar. Compute the average normal stressat Point P and illustrate it on a stress element.

    1 Important: see HW00 for a detailed explanation of Part I and Part II.

    HW01-a Average Normal Stress | CEEN 311 | copyright Prof. Susan Reynolds 2021 | [email protected] | page 1 of 3

    https://drcindysimpson.files.wordpress.com/2013/09/rubber-band.jpg?w=584https://imagesvc.meredithcorp.io/v3/mm/image?q=85&c=sc&poi=face&w=2400&h=1257&url=https%3A%2F%2Fstatic.onecms.io%2Fwp-content%2Fuploads%2Fsites%2F34%2F2015%2F05%2F12171239%2Fgarlic-0017-d112199_vert.jpghttps://imagesvc.meredithcorp.io/v3/mm/image?q=85&c=sc&poi=face&w=2400&h=1257&url=https%3A%2F%2Fstatic.onecms.io%2Fwp-content%2Fuploads%2Fsites%2F34%2F2015%2F05%2F12171239%2Fgarlic-0017-d112199_vert.jpghttps://imagesvc.meredithcorp.io/v3/mm/image?q=85&c=sc&poi=face&w=2400&h=1257&url=https%3A%2F%2Fstatic.onecms.io%2Fwp-content%2Fuploads%2Fsites%2F34%2F2015%2F05%2F12171239%2Fgarlic-0017-d112199_vert.jpg

  • Name: __________________________________________________________ CWID: ______________________________

    (6) Construct a FBD of Member AB. Be sure to computeand include the numeric reactions at A and B.

    Hint: break up the trapezoid into a rectangleand a square. Replace the distributed loadwith two resultant forces.

    Partial answer: Ay = 57k↑

    (7) Member ABCD is fixed at A. Six forces have beenapplied to the member at rigid plates B, C, and D. Planee-e is halfway between A and B. Plane f-f is halfwaybetween B and C. Plane g-g is halfway between C and D.

    Want a tutorial on this concept? Here it is: LINK.

    Complete the FBD that cuts through plane g-g. Drawthe unknown internal normal force (N) in the positivedirection (i.e. tension, which is an arrow pointing AWAYfrom the body). Then, write 𝚺Fx=0 in order to computethe unknown internal normal force (N) at the cut plane.Positive answers indicate tension and negative answersindicate compression.

    Complete the same set of steps for the FBD through f-f.

    Complete the same set of steps for the FBD through e-e.

    Answers: Ng-g = -6k; Nf-f = +4k; Ne-e = -12k

    HW01-a Average Normal Stress | CEEN 311 | copyright Prof. Susan Reynolds 2021 | [email protected] | page 2 of 3

    https://people.mines.edu/sreynold/wp-content/uploads/sites/70/2021/01/TT01-a.pdf

  • Name: __________________________________________________________ CWID: ______________________________

    (8) This problem is a continuation of the last problem. Thecross-sectional area of member ABCD is 0.5 in2. PointsQ, R, and S have been added to the diagram. Computethe average normal stress at these three points. Then,illustrate the state of stress at these three points on thethree stress elements provided.

    Part II. PROBLEM-SOLVING2

    (9) Work problem 7 again, but using the left side of eachFBD. You will get the exact same answers as before.You’ll even get the same signs. Just be sure tocompute the reaction at the fixed support and includeit in all of the equations of equilibrium. Difficulty:🌶

    2 Important: see HW00 for a detailed explanation of Part I and Part II.

    HW01-a Average Normal Stress | CEEN 311 | copyright Prof. Susan Reynolds 2021 | [email protected] | page 3 of 3


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