shear stress

A thin-walled spherical gas balloon of radius R and wall thickness t (t << R) is subjected to an internal (gauge) pressure p. The maximum tensile and shear stresses in the balloon...

The three-dimensional state of stress at a point is given by $\sigma = \begin{pmatrix} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 \end{pmatrix}$ MPa. The maximum shear stress at the poi...

The following figure shows a plot between shear stress and velocity gradient for materials/fluids P, Q, R, S, and T. Which one of the following options is CORRECT?

A 2D thin plate with modulus of elasticity, E = 1.0 N/m², and Poisson's ratio, μ = 0.5, is in plane stress condition. The displacement field in the plate is given by u = Cx²y and v...

A 2D thin plate with modulus of elasticity, 𝐸 = 1.0 N/m 2 , and Poisson’s ratio, 𝜇 = 0.5, is in plane stress condition. The displacement field in the plate is given by 𝑢 = 𝐶𝑥...

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

A solid circular torsional member OPQ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent material is 160 MPa. The...

The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the x-y coordinate system to the X-Y coordinate system. The angle $\thet...

The flange and web plates of the doubly symmetric built-up section are connected by continuous 10 mm thick fillet welds as shown in the figure (not drawn to the scale). The moment...

A closed thin-walled tube has thickness, t, mean enclosed area within the boundary of the centerline of tube's thickness, Am, and shear stress, τ. Torsional moment of resistance, T...

For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web...

For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure. By how much angle (θ) in degrees the stress element should be...

Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm/...

A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown i...

For a steady incompressible laminar flow between two infinite parallel stationary plates, the shear stress variation is

A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800: 2007, the equivalent stress (in MPa, up to two d...

A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and inner diameter of $$50mm.$$ If the allowable shear stress is $$125$$ $$MPa$$, the maximum torque (in $$kN$$-$$m$...

As per $$IS$$ $$456$$ - $$2000$$ for the design of reinforced concrete beam, the maximum allowable shear stress $$\left( {{\tau _{c\,\,\max }}} \right)$$ depends on the

A symmetric $${\rm I}$$-section (with width of each flange $$=50mm$$, thickness of each flange $$=10mm,$$ depth of web $$=100mm,$$ and thickness of web $$=10mm$$) of steel is subje...

Consider the following statements: $$1.$$ On a principal plane, only normal stress acts $$2.$$ On a principal plane, both normal and shear stresses act $$3.$$ On a principal plane,...

A hollow circular shaft has an outer diameter of $$100$$ $$mm$$ and a wall thickness of $$25$$ $$mm.$$ The allowable shear stress in the shaft is $$125$$ $$MPa.$$ The maximum torqu...

The maximum shear stress in a solid shaft of circular cross-section having diameter subjected to a torque $$T$$ is $$\tau $$ . If the torque is increased by four times and the diam...

The maximum and minimum shear stresses in a hollow circular shaft of outer diameter $$20$$ $$mm$$ and thickness $$2$$ $$mm,$$ subjected to a torque of $$92.7$$ $$N.m$$ will be

The shear stress at the neutral axis in a beam of triangular section with a base of $$40$$ $$mm$$ and height $$20$$ $$mm,$$ subjected to a shear force of $$3$$ $$kN$$ is

Two wheels, placed at a distance of $$2.5$$ $$m$$ apart, with a load of $$200\,\,kN$$ on each of them are moving on a simply supported girder ($${\rm I}$$-section) of span $$6.0$$...

A simply supported beam of a beam and slab system, rests on a support of width $$450$$ $$mm.$$ The clear span of the beam is $$10.0$$ $$m.$$ The thickness of the slab is $$120$$ $$...

Shear stress in the Newtonian fluid is proportional to

A liquid of density $$\mathrm\rho$$ and dynamic viscosity $$\mathrm\mu$$ flows steadily down an inclined plane in a thin sheet of constant thickness t. Neglecting air friction the...

For a given shear force across a symmetrical $${\rm I}$$-section, the intensity of shear is maximum at

Which of the following Mohr's circles shown below qualitatively and correctly represents the state of plane stress at a point in a beam above the neutral axis, where it is subjecte...

Shear stress develops on a fluid element, if the fluid

For a given shear force across a symmetrical $$'{\rm I}'$$ section the intensity of shear stress is maximum at the