###### Mechanics of Materials

153 SOLVED PROBLEMS

2 SOLVED PROBLEMS

Question: B.1

## The plane truss shown in Figure B-1 has four joints and five members. Find support reactions at A and B and then use the methods of joints and sections to find all member forces. Let P = 35 kips and c =10 ft. ...

Use the following four-step problem-solving approa...
Question: D.5

## Determine the moment of inertia Ic with respect to the horizontal axis C–C through the centroid C of the beam cross section shown in Fig. D-16. (The position of the centroid C was determined previously in Example D-2 of Section D.2.) Note: From beam theory (Chapter 5), axis C–C is the neutral axis ...

Find the moment of inertia $I_{c}$ wi...
Question: D.2

## The cross section of a steel beam is constructed of a W 18 × 71 wide-flange section with a 6 in. × 1/2 in. cover plate welded to the top flange and a C 10 × 30 channel section welded to the bottom flange (Fig. D-8). Locate the centroid C of the cross-sectional area. ...

Denote the areas of the cover plate, the wide-flan...
Question: 11.6

## A steel column is constructed from a W 250 × 89 wide-flange section (Fig. 11-38). Assume that the column has pin supports and may buckle in any direction. Also, assume that the steel has a modulus of elasticity of E = 200 GPa and a yield stress of σY = 250 MPa. (a) If the length of the column is ...

Use a four-step problem-solving approach. Combine ...
Question: 11.5

## A steel wide-flange column of a W 14 × 82 shape (Fig. 11-29a) is pin- supported at the ends and has a length of 25 ft. The column supports a centrally applied load P1 = 320 kips and an eccentrically applied load P2 = 40 kips (Fig. 11-29b). Bending takes place about axis 1–1 of the cross section, ...

Use a four-step problem-solving approach. Part (a)...
Question: 11.4

## A brass bar AB projecting from the side of a large machine is loaded at end B by a force P = 7 kN acting with an eccentricity e = 11 mm (Fig. 11-26). The bar has a rectangular cross section with height h = 30 mm and width b = 15 mm. What is the longest permissible length Lmax of the bar if ...

Use a four-step problem-solving approach. 1. Conce...
Question: 11.2

## A long, slender column ABC is pin-supported at the ends and compressed by an axial load P (Fig. 11-15). Lateral support is provided at the midpoint B in the plane of the figure. However, lateral support perpendicular to the plane of the figure is provided only at the ends. The column is constructed ...

Use a four-step problem-solving approach. 1. Conce...
Question: 11.1

## Two idealized columns are shown in Fig. 11-5. Both columns are initially straight and vertical with load P applied at joint A. (a) The first column (Column 1, Fig. 11-5a) consists of a rigid bar ABC with a roller support at B and is connected to bar CD by an elastic connection with rotational ...

Use a four-step problem-solving approach. Combine ...
Question: 10.5

## A fixed-end beam AB supports a uniform load of intensity q acting over part of the span (Fig. 10-17a). Determine the reactions of this beam (that is, find the fixed-end moments and fixed-end forces). ...

Use a four-step problem-solving approach. 1. Conce...
Question: D.6

## Determine the product of inertia Ixy of the Z-section shown in Fig. D-23. The section has width b, height h, and constant thickness t. ...

To obtain the product of inertia with respect to t...
Question: 10.6