In a strained material, normal stresses on two mutually perpendicular planes are sx and sy (both a like) accompanied by a shear stress txy. One of the principal stresses will be zero, only it
In a Mohr's circle, the radius of the circle is taken as
Principal strains at a point are + 100 × 10–6 and – 200 × 10–6. What is the maximum shear strain at the point ?
In a strained material one of the principal stresses is twice the other. The maximum shear stress in the same case is tmax. Then, what is the value of the maximum principal stress ?
For a general two dimensional stress system, what are the coordinates of the centre of Mohr's circle?
The principal strains at a point in a body, under biaxial state of stress, are 1000 × 10–6 and -600×10–6. What is the maximum shear strain at that point ?
Shear strain = emax - emin
= 1000 x 10–6 -(-600 x 10–6)
= 1600 x 10–6
If the principal stresses and maximum shearing stresses are of equal numerical value at a point in a stressed body, the state of stress can be termed as
The state of plane stress at a point in a loaded member is given by:
sx = + 800 MPa
sy = + 200 MPa
txy = ± 400 MPa
The maximum principal stress and maximum shear stress are given by:
Which of the following figures may represent Mohr's circle?
Auto frettage is the method of
From design point of view, spherical pressure vessels are preferred over cylindrical pressure vessels because they
In a thick cylinder pressurized from inside, the hoop stress is maximum at
A thin cylinder with closed lids is subjected to internal pressure and suported at the ends as shown in figure. The state of stress at point X is a s represented as
A thin cylinder with both ends closed is subjected to internal pressure p. The longitudinal stress atthe surface has been calculated as so. maximum shear stress at the surface will be equal to
Since, S0 is the longitudinal stress in a thin cylinder then 2S0 will be the hoop stress
Maximum (absolute) shear stress
=1/2(maximum principal stress)
If a thick cylindrical shell is subjected to internal pressure. then hoop stress, radial stress and longitudinal stess at point in the thickness will be
The commonly used technique of strengthening thin pressure vessels is
Auto-frettage is a method of
Where does the maximum hoop stress in a thick cylinder under external pressure occur ?
A seamless pipe of diameter d m is to carry fluid under a pressure of P kN/cm2. The necessary thickness t of metal in cm, if the maximum stress is not to exceeds kN/cm2 is
Constant bending moment over span 'l' will occur in
The bending moment (M) is constant over a length segment (I) of a beam the shearing force will also be constant over this length and is given by
The given figure shows a cantilever of span L subjected to a concentrated load P and a moment M at the free end. Deflection a the free end is given by
For a cantilever beam of length 'L' flexural rigidity El ad loaded at its free end by a concentrated load W, match List-I with List-II and select the correct answer using the codes below the lists:
A beam, built in both ends, carries a uniformly distributed load over its entire span as shown in
figure. Which one of the diagrams given below represents bending moment distribution along the length of the beam?
A simply supported beam has equal overhanging lengths and carries equal concentrated loads P at ends. Bending moment over the length between the supports