###### Mechanics of Materials

150 SOLVED PROBLEMS

Question: C.5

## (a) Draw the Mohr’s circle for the centroidal moments and products of inertia for the L-shaped area in Fig. 1 of Example C-2, given that: ...

(a) Sketch Mohr’s circle and calculate the princip...
Question: C.4

## For the L-shaped area in Fig. 1 of Example C-2, (a) determine the orientation of the centroidal principal axes and show the orientation on a sketch. (b) Determine the principal moments of inertia. ...

(a) From Eq. (C-23), \tan 2θ_p = \frac{- I_...
Question: C.2

## Determine the centroidal moment of inertia Iy for the L-shaped section in Example C-1. (Here, in Fig. 1, the origin of the (y, z) reference frame is at the centroid of the composite area. The centroidal reference axes for the rectangular “legs” of the L-shaped area are (y1, z1) and ...

We can combine Eqs. (C-14) with the parallel axis ...
Question: C.1

## Locate the centroid of the L-shaped area in Fig. 1. ...

A—Addition Method Following the procedure outlined...
Question: 9.5

## Wind blowing on a sign produces a pressure whose resultant, P, acts in the -y direction at point C, as shown in Fig. 1.The weight of the sign, Ws, acts vertically through point C, and the thin-wall pipe that supports the sign has a weight Wp. Following the procedure outlined at the beginning of ...

Plan the Solution It will be a good idea to tabula...
Question: 9.4

## During the drilling of an oil well, the section of the drill pipe at A (above ground level) is under combined loading due to a tensile force P = 70 kips and a torque T = 6 kip · ft, as illustrated in Fig. 1. The drill pipe has an outside diameter of 4.0 in. and an inside diameter of 3.640 in. ...

Plan the Solution We can use Mohr’s circle to comb...
Question: 9.3

## An axial compressive load of 800 kips is applied eccentrically to a short rectangular compression member, as shown in Fig. 1. (The effect of eccentric compressive loading on longer members is treated in Section 10.4.) Determine the distribution of normal stress on a cross section, say ...

Plan the Solution The eccentric load P produces ax...
Question: 9.2

## Just to the left of point B in Fig. 1a (same as Fig. 1 of Example Problem 6.5) the transverse shear force is V = -28 kips, and the bending moment is M = -48 kip · ft. Ignoring any stress concentration due to the support at B, determine the principal stresses at point D in Fig. 1b. ...

Plan the Solution We can use the flexure formula t...
Question: 9.1