Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 188 views

    Problem Set 3

    Uploaded by

    xxvv
    The document contains a series of 16 practice problems related to determining stresses in curved bars and beams with various cross sections under different loading conditions. Students are asked to solve problems 2-16 and submit their work by February 26. The problems involve concepts like determining stress based on allowable stress, applying bending theory to calculate stresses at specific points, and considering variations in cross section shape and radius of curvature.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Problem Set 3

    Uploaded by

    xxvv
    188 views5 pages
    The document contains a series of 16 practice problems related to determining stresses in curved bars and beams with various cross sections under different loading conditions. Students are asked to solve problems 2-16 and submit their work by February 26. The problems involve concepts like determining stress based on allowable stress, applying bending theory to calculate stresses at specific points, and considering variations in cross section shape and radius of curvature.

    Original Description:

    Original Title

    Problem set 3

    Copyright

    © © All Rights Reserved

    Available Formats

    PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    The document contains a series of 16 practice problems related to determining stresses in curved bars and beams with various cross sections under different loading conditions. Students are asked to solve problems 2-16 and submit their work by February 26. The problems involve concepts like determining stress based on allowable stress, applying bending theory to calculate stresses at specific points, and considering variations in cross section shape and radius of curvature.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    188 views5 pages

    Problem Set 3

    Uploaded by

    xxvv
    The document contains a series of 16 practice problems related to determining stresses in curved bars and beams with various cross sections under different loading conditions. Students are asked to solve problems 2-16 and submit their work by February 26. The problems involve concepts like determining stress based on allowable stress, applying bending theory to calculate stresses at specific points, and considering variations in cross section shape and radius of curvature.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 5

    ‫ را از سری تمرینات زیر حل کرده و حداکثر تا روز‬8 ‫ و‬5 ،4 ‫ مسائل‬:2 ‫تمرین سری سوم مقاومت‬

    .‫ اسفند تحویل دهید‬26 ‫شنبه‬2

    1. The curved portion of the bar shown has


    an inner radius of 20 mm. Knowing that
    the allowable stress in the bar is 150 MPa,
    determine the largest permissible distance
    “a” from the line of action of 3-kN force
    to the vertical plane containing the center
    of curvature of the bar.

    2. Prove that for the triangle cross section R =


    h⁄
    2
    r2 r
    ⁄hln 2⁄r1 −1
    Knowing that P=10 kN, determine the stress at
    points A and B.

    3. For the crane hook shown, determine


    the largest tensile stress in section a-a.

    4. The split ring shown in figure has an inner radius


    r1=20mm and a circular cross section of diameter
    d=15 mm. Each of the P=5 kN is applied at the
    centroid of the cross section. Find the stress at
    points m and m'.
    5. Determine the greatest magnitude
    of the applied forces P if the
    allowable stress in compression is
    50 MPa and allowable stress in
    tension is 120 MPa.

    6. Knowing that M=25 kN.m, determine


    the stress at point A and B.

    7- The curved bar shown has a circular cross


    section of 32-mm diameter. Determine the
    largest couple M that can be applied to the
    bar about a horizontal axis if the
    maximum stress is not to exceed 60 MPa.

    8- The elbow of the pipe has an outer


    radius of 0.75 in. and inner radius of
    0.63 in. If the assembly is subjected
    to the moments of M=25 Ib. in.,
    determine the maximum stress
    developed at section a- a.
    9- While in flight, the curved rib on the jet
    plane is subjected to an anticipated
    moment of M =16 N.m at the section.
    Determine the maximum bending stress in
    the rib at this section, and sketch a two-
    dimensional view of the stress distribution.

    10- The curved beam is subjected to a


    bending moment of M=900 N.m as
    shown. Determine the stress at points A,
    B, and C and show the stress on a volume
    element located at each of these points.

    11- The bracket shown in figure is


    constructed from material with
    50mm×25mm rectangular cross-
    section and it supports a vertical
    load of 10KN at C. Determine the
    magnitude of stresses set up at A and
    B. What percentage error would be
    obtained if the simple bending
    theory were applied?

    12- Compare stresses in a 50 by 50 mm rectangular bar subjected to end


    moments of 2083 N.m in three special cases: (a) straight beam, (b) beam
    curved to a radius of 250 mm along the centroidal axis, i.e., r= 250 mm, and
    (c) beam curved to r = 75mm.
    13- The machine component shown
    has a trapezoidal cross section with a=120
    mm and b=60 mm. determine the stress at
    point A and B if P=40 kN.

    14- For the curved bar and loading


    shown, determine the stress at point A
    when (a) r1 = 100 mm, (b) r1 =
    150 mm.

    15- The bar shown has a circular cross section of 15 mm


    diameter.
    a) Knowing that the allowable stress is 55 MPa, determine
    the largest permissible distance “a” from the line of action
    of the 200-N force to the plane containing the center of
    curvature of the bar.

    b) Knowing that a = 30 mm, determine the stress at points


    A & B.
    16- The split ring shown has an inner radius r1
    and circular cross section of diameter d = 32mm.
    For the loading shown, determine the stress at
    points A & B in two different cases:
    a) r1 = 20 mm b) r1 = 16 mm

    ‫ سطح خنثی به صورت‬R ‫ شعاع‬،‫ نشان دهید اگر مقطع یک تیر خمیده شامل دو یا چند مستطیل باشد‬18
    :‫زیر قابل بیان خواهد بود‬

    A
    R=
    r b1 r b2 r b3
    ln [( 2 ) ( 3 ) ( 4 ) ]
    r1 r2 r3

    )‫ مساحت کل مقطع است‬A (

    You might also like