STUPIDSID
Solve any one question from Q.1(a,b) &Q.2(a,b)
1(a)
Determine the stress in each section of the circular bar as shown in figure when subjected to an axial tensile load of 20kN.
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4 M
1(b)
Draw SF and BM diagrams for the given beam.
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8 M
2(a)
The composite bar as shown in figure is rigidly fixed at the ends A and B. Determine the reaction developed at ends when the temperature is raised by 18°C. Given EA1 = 70kN/mm2, Es = 200kN/mm2, αA1 = 11×10-6/C°, αst = 12×10-6/C°
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6 M
2(b)
Determine SF and BM equations and then draw SFD and BMD of a given beam.
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6 M
Solve any one question from Q.3(a,b) &Q.4(a,b)
3(a)
A symmetrical H section with height 120 mm, width 120 mm and thickness 20 mm is used as a simply supported beam and carries UDL of 60 kN/m over a span of 3 m. Determine shear stress at the neutral axis of H section if moment of inertia about neutral axis is 5.75×106 mm4.
6 M
3(b)
Determine slope at the simple supports R1 and R2 of given overhang beam in terms of EI.
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6 M
4(a)
Simply supported beam with point load W at the center and length 2m. Th crosss-section of beam is T section ( flange 100mm×12mm and web 38mm×12mm). The allowable bending stress in tension and compression are 100MPa and 150MPa. Find safe load W.
6 M
4(b)
A cantilever beam of length 4 m and UDL of 60 N/m. Determine strain energy stored in the beam. Assume I = 1×106 m4 and E = 200 Gpa.
6 M
Solve any one question from Q.5(a,b) &Q.6(a,b)
5(a)
Asolid circular bar 25m long and 120 mm was found to be extended 1.2mm under tensile load of 54kN. Now the same bar is used as a strut. Determine critical load and safe load taking FOS = 3 with the following end condititons:
i) Both ends fixed, and
ii) One end fixed and other end hinged.
i) Both ends fixed, and
ii) One end fixed and other end hinged.
6 M
5(b)
A compound shaft consisting of a steel segement and an aluminum segment is acted upon by two torques as shown in Fig. Determine the maximum permissible value of T subject to the following coditions: τ st = 83 MPa, τ A1 = 55 Mpa, and the angle of rotation of the free end is limited to 6°. For steel, G = 83 GPa and for aluminum, G = 28 GPa.
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7 M
6(a)
The compound shaft shown in Fig. is attached to rigid supports. For the bronze segment AB, the diameter is 75 mm, τ≤60 MPa, and G = 35 GPa. For the steel segment BC, the diameter is 50 mm, τ≤80MPa, and G = 83 Gpa. If a = 2 m and b = 1.5m , compute the maximum torque T that can be applied.
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7 M
6(b)
The ro PQ of length L and flexural rigidity El is hinged at both ends. For what minimum force F is it expected to buckle? !mage
6 M
Solve any one question from Q.7(a,b) &Q.8
7(a)
State of stress for an element of unit thickness is shown in Figure. Find the normal stress and shear stress that must act on an inclined dotted plane to keep the element in equilibrium and show the result on inclined plane with proper orientation.
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7 M
7(b)
AT a certain position of circular structure of diameter d is subjected to shear force 10kN together with an axial tensile load of 20kN. If the allowable working stress is 67.5 Mpa. Estimate the magnitude of 'd' required according to the maximum principal stress thoery.
6 M
8
For the given state of plane stress
a) Construct Mohr's circle with proper scale on graph paper.
b) Determine principal stresses and its orientation from Mohr's ircle.
c) Determine shear stress and normal stress on maximum shear plane and its orientation from Mohr's circle.
d) Represent all the stresses and plane orientations in Mohr's circle.
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a) Construct Mohr's circle with proper scale on graph paper.
b) Determine principal stresses and its orientation from Mohr's ircle.
c) Determine shear stress and normal stress on maximum shear plane and its orientation from Mohr's circle.
d) Represent all the stresses and plane orientations in Mohr's circle.
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13 M
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