Question

In: Mechanical Engineering

The solid rod shown here has a radius of ?. If it is subjected to the...

The solid rod shown here has a radius of ?. If it is subjected to the force of ?? at B point, answer the following questions.

Use ??=700 ??; ???=11 ??; ???=15 ??; ???=8 ??; ?=0.7 ??

  1. (a) Determine the internal loadings, T, M and V on the sectioned area; see the free body diagram (ii) (5 pts)
  2. (b) Determine the shear stress developed by the shear force (V) at A point (5 pts)
  3. (c) Determine the normal stress developed by the bending moment (M) at A point (5 pts)
  4. (d) Determine the shear stress developed by the torque (T) at A point (5 pts)
  5. (e) Determine the stress components at A, ??,?? (5 pts)

Solutions

Expert Solution


Related Solutions

An infinitely long, solid non-conducting rod (cylinder) with circular cross section of radius a has its...
An infinitely long, solid non-conducting rod (cylinder) with circular cross section of radius a has its axis along the z-axis. It has a non-uniform volume charge density given in cylindrical coordinates by ρ(s) = C (s/a)^2 ,where C is a positive constant. In addition, there is a uniform volume charge density −σ on the outer cylindrical shell of radius b, where σ is a positive constant. Region 2 is a vacuum. For parts (a) through (c), use Gauss’ Law and...
Two identical uniform solid spheres are attached by a solid uniform thin rod, as shown in the figure.
Two identical uniform solid spheres are attached by a solid uniform thin rod, as shown in the figure. The rod lies on a line connecting the centers of mass of the two spheres. The axes A, B, C, and D are in the plane of the page (which also contains the centers of mass of the spheres and the rod), while axes E and F (represented by black dots) are perpendicular to the page. (Figure 1).Rank the moments of inertia...
A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder...
A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder of radius R all have the same mass, and all three are rotating with the same angular velocity. The sphere is rotating around an axis through its center, and each cylinder is rotating around its symmetry axis. Which one has the greatest rotational kinetic energy? both cylinders have the same rotational kinetic energy the solid cylinder the solid sphere they all have the same...
A wheeled cart (frictionless), a solid cylinder of radius r, a solid sphere of radius r,...
A wheeled cart (frictionless), a solid cylinder of radius r, a solid sphere of radius r, and a hollow cylinder of radius r are all allowed to roll down an incline. Derive a general relationship for the linear acceleration of each object depending on the angle of the ramp and the rotational inertia. You may assume that the frictional force is small enough that it is only causing rotation in each case.
A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It...
A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It is released from rest on a ramp tilted at 8.00° from horizontal, and it rolls without slipping down the ramp until it has moved a vertical distance of 0.350 m. What is the angular speed of the cylinder when it reaches the bottom? What is the magnitude of the angular momentum of the cylinder when it reaches the bottom?
A solid sphere of charge is centered at the origin and has radius R = 10...
A solid sphere of charge is centered at the origin and has radius R = 10 cm. Instead of being uniformly charged, the charge density varies with radial position: ρ(r)=ρ0ar. Take a=5.1 m and ρ0=3.7 C/m3. What is the total charge of the sphere? What is the electric flux through a sherical surface of radius R/2 that is concentric with the charged sphere? What is the flux through a spherical surface of radius 2R that surrounds the charged sphere, but...
2. A solid insulating sphere with a radius ? = 12 ?? has a volume charge...
2. A solid insulating sphere with a radius ? = 12 ?? has a volume charge density which varies with radial distance ? as given by ? = 4 × 103 ?0 (1 + ? ? ) ?/?3 . Calculate the electric field magnitude at ? = 2? by using Gauss’s Law. (?0 = 8.85 × 10−12 ? 2/??2 )
A coaxial air transmission line has a solid conductor with a radius a on the inside...
A coaxial air transmission line has a solid conductor with a radius a on the inside and a very fine conductor with an inner radius on the outside. The conductors of this L-length coaxial transmission line include a lossy dielectric with electrical permeability E1, conductivity o1 and magnetic permeability u0 in the region a<r <c, and a lossy dielectric with electrical permeability E2, conductivity o2 and magnetic permeability u0 in the region of c <r <b. According to this, a)...
A solid metal sphere of radius a = 2.5 cm has a net charge Qin =...
A solid metal sphere of radius a = 2.5 cm has a net charge Qin = - 3 nC (1 nC = 10-9C). The sphere is surrounded by a concentric conducting spherical shell of inner radius b = 6 cm and outer radius c = 9 cm. The shell has a net charge Qout = + 2 nC. What is V0, the electric potential at the center of the metal sphere, given the potential at infinity is zero?
A solid conducting sphere of radius a has its center at the origin and non uniform...
A solid conducting sphere of radius a has its center at the origin and non uniform magnetization given by: M = (a*z^2+b)zhat Estimate the vector potential and the magnetic field in the region of space outside the sphere. Calculate the amount of energy stored in the magnetic field outside the sphere. Explain how there can be an H-field associated with this sphere when there are no free currents.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT