Questions from Mechanics


Q: A frame ABC is loaded at point C by a force P

A frame ABC is loaded at point C by a force P acting at an angle a to the horizontal (see figure). Both members of the frame have the same length and the same flexural rigidity. Determine the angle a...

See Answer

Q: The wing of a large commercial jet is represented by a simplified

The wing of a large commercial jet is represented by a simplified prismatic cantilever beam model with uniform load w and concentrated loads P at the two engine locations (see figure). Find expression...

See Answer

Q: The wing of a small plane is represented by a simplified prismatic

The wing of a small plane is represented by a simplified prismatic cantilever beam model acted on by the distributed loads shown in the figure. Assume constant EI = 1200 kN m2. Find the tip deflection...

See Answer

Q: Find an expression for required moment MA (in terms of q

Find an expression for required moment MA (in terms of q and L) that will result in rotation θB = 0 due to MA and q loadings applied at the same time. Also, what is the resulting net rota...

See Answer

Q: Find an expression for required moment MA (in terms of q

Find an expression for required moment MA (in terms of q and L) that will result in rotation θB = 0 due to MA and q loadings applied at the same time. Also, what is the resulting net rota...

See Answer

Q: An overhanging beam ABC with a rectangular cross section has the dimensions

An overhanging beam ABC with a rectangular cross section has the dimensions shown in the figure. A weight W = 750 N drops onto end C of the beam. If the allowable normal stress in bending is 45 MPa, w...

See Answer

Q: Find required distance d (in terms of L) so that

Find required distance d (in terms of L) so that rotation θB = 0 is due to M and q loadings applied at the same time. Also, what is the resulting net rotation θA at support A...

See Answer

Q: A cantilever beam has two triangular loads as shown in the figure

A cantilever beam has two triangular loads as shown in the figure. (a) Find an expression for beam deflection δC using superposition. (b) Find the required magnitude of load intensity q2...

See Answer

Q: The simple beam AB shown in the figure has moments 2Mo and

The simple beam AB shown in the figure has moments 2Mo and Mo acting at the ends. Derive the equation of the deflection curve, and then determine the maximum deflection δmax. Use the thir...

See Answer

Q: A beam with a uniform load has a sliding support at one

A beam with a uniform load has a sliding support at one end and spring support at the other. The spring has a stiffness k = 48EI/L3. Derive the equation of the deflection curve by starting with the th...

See Answer