To use the shear formula, the internal shear force must be:
1 answer:
Answer:
vertical, and directed along an axis of symmetry of the cross-section
Explanation:
Shear is a force in an object is in the form of stress or strain. Shear strain is the ratio of length of deformation (extension) to the perpendicular length in the plane of the force applied. Shear stress, which is the stress that tends to shear a material, is the ratio of shear force applied on a surface to the area of the surface.
The shear formula can be used to determine the maximum shear in an object and is given by; τ = . It is applicable when the internal shear force is vertical and directed along an axis of symmetry of the cross-section.
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Answer:
0.0406 m/s
Explanation:
Given:
Diameter of the tube, D = 25 mm = 0.025 m
cross-sectional area of the tube = (π/4)D² = (π/4)(0.025)² = 4.9 × 10⁻⁴ m²
Mass flow rate = 0.01 kg/s
Now,
the mass flow rate is given as:
mass flow rate = ρAV
where,
ρ is the density of the water = 1000 kg/m³
A is the area of cross-section of the pipe
V is the average velocity through the pipe
thus,
0.01 = 1000 × 4.9 × 10⁻⁴ × V
or
V = 0.0203 m/s
also,
Reynold's number, Re =
where,
ν is the kinematic viscosity of the water = 0.833 × 10⁻⁶ m²/s
thus,
Re =
or
Re = 611.39 < 2000
thus,
the flow is laminar
hence,
the maximum velocity = 2 × average velocity = 2 × 0.0203 m/s
or
maximum velocity = 0.0406 m/s