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    Solution Sheet1

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    فهد عدلي

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    © All Rights Reserved
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    Solution Sheet1

    Uploaded by

    فهد عدلي
    4 views9 pages

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    4 views9 pages

    Solution Sheet1

    Uploaded by

    فهد عدلي

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    © All Rights Reserved
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    Misr University of Science and Technology

    Mechanical Engineering (Mechatronics)


    ME 308 T: Mechanical Design
    Solution of Sheet1
    1- A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives
    power from a motor through a belt with the belt tensions shown. The power is
    transmitted through the shaft and delivered to the belt on pulley B. Assume the belt
    tension on the loose side at B is 15 percent of the tension on the tight side.
    (a) Determine the tensions in the belt on pulley B, assuming the shaft is running at
    a constant speed.
    (b) Find the magnitudes of the bearing reaction forces, assuming the bearings act
    as simple supports.
    (c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make
    one set for the horizontal plane and another set for the vertical plane.
    (d) At the point of maximum bending moment, determine the bending stress and
    the torsional shear stress.
    (e) At the point of maximum bending moment, determine the principal stresses and
    the maximum shear stress.

    Solution
    1- a)
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design
    2- Repeat the previous problem for the figure shown below

    Solution no 2
    2. a)
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design

    3- A gear reduction unit uses the countershaft shown in the figure. Gear A receives
    power from another gear with the transmitted force FA applied at the 20ͦ pressure
    angle as shown. The power is transmitted through the shaft and delivered through
    gear B through a transmitted force FB at the pressure angle shown.
    (a) Determine the force FB, assuming the shaft is running at a constant speed.
    (b) Find the magnitudes of the bearing reaction forces, assuming the bearings act
    as simple supports.
    (c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make
    one set for the horizontal plane and another set for the vertical plane.
    (d) At the point of maximum bending moment, determine the bending stress and
    the torsional shear stress.
    (e) At the point of maximum bending moment, determine the principal stresses and
    the maximum shear stress.
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design
    Solution no 3
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design

    4- Repeat the previous problem for the figure shown below

    Solution no 4
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design

    5- The cantilevered bar in the figure is made from a ductile material and is statically
    loaded with Fy = 200 lbf and Fx = Fz = 0. Analyze the stress situation in rod AB by
    obtaining the following information.
    (a) Determine the precise location of the critical stress element.
    (b) Sketch the critical stress element and determine magnitudes and directions for
    all stresses acting on it. (Transverse shear may only be neglected if you can
    justify this decision.)
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design
    (c) For the critical stress element, determine the principal stresses and the
    maximum shear stress.

    Solution no 5
    Misr University of Science and Technology
    Mechanical Engineering (Mechatronics)
    ME 308 T: Mechanical Design
    6- The cantilevered bar in the figure is made from a ductile material and is statically
    loaded with Fy = 250 lbf and Fx = Fz = 0. Analyze the stress situation in the small
    diameter at the shoulder at A by obtaining the following information.

    Solution no 6

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