Statics and Mechanics of Materials 3rd. Edition by Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David Mazurek | 9781260570984 | 1260570983

Mechanics of Materials, Mechanics Statics

Statics and Mechanics of Materials

169 SOLVED PROBLEMS

2 SOLVED PROBLEMS

Question: 16.CA.3

Knowing that column AB (Fig. 16.26) has an effective length of 14 ft and must safely carry a 32-kip load, design the column using a square glued laminated cross section. The adjusted modulus of elasticity for the wood is E = 800 × 10³ psi, and the adjusted allowable stress for compression parallel ...

Verified Answer:

Note that c = 0.90 for glued laminated wood column...

Question: 16.CA.2

Determine the longest unsupported length L for which the S100 × 11.5 rolled-steel compression member AB can safely carry the centric load shown (Fig. 16.23). Assume σY = 250 MPa and E = 200 GPa. ...

Verified Answer:

From Appendix D, for an S100 × 11.5 shape, A = 146...

Question: 16.CA.1

A 2-m-long pin-ended column with a square cross section is to be made of wood (Fig. 16.9). Assuming E = 13 GPa, σall = 12 MPa, and using a factor of safety of 2.5 to calculate Euler’s critical load for buckling, determine the size of the cross section if the column is to safely support (a) a 100-kN ...

Verified Answer:

a. For the 100-kN Load. Use the given factor of sa...

Question: 15.CA.7

Determine the reactions at the supports for the prismatic beam and loading shown in Fig. 15.19a. (This is the same beam and loading as in Concept Application 15.5.) ...

Verified Answer:

We consider the reaction at B as redundant and rel...

Question: 15.CA.6

Determine the slope and deflection at D for the beam and loading shown (Fig. 15.18a), knowing that the flexural rigidity of the beam is EI = 100 MN⋅m². ...

Verified Answer:

The slope and deflection at any point of the beam ...

Question: 15.CA.5

Determine the reactions at the supports for the prismatic beam of Fig. 15.14a. ...

Verified Answer:

Equilibrium Equations. From the free-body diagram ...

Question: 15.CA.4

The simply supported prismatic beam AB carries a uniformly distributed load w per unit length (Fig. 15.13a). Determine the equation of the elastic curve and the maximum deflection of the beam. (This is the same beam and load as in Concept Application 15.2.) ...

Verified Answer:

Because w = constant, the first three of Eqs. (15....

Question: 15.CA.3

For the prismatic beam and load shown (Fig. 15.11a), determine the slope and deflection at point D. ...

Verified Answer:

Divide the beam into two portions, AD and DB, and ...

Question: 15.CA.2

The simply supported prismatic beam AB carries a uniformly distributed load w per unit length (Fig. 15.10a). Determine the equation of the elastic curve and the maximum deflection of the beam. ...

Verified Answer:

Draw the free-body diagram of the portion AD of th...

Question: 15.CA.1

The cantilever beam AB is of uniform cross section and carries a load P at its free end A (Fig. 15.9a). Determine the equation of the elastic curve and the deflection and slope at A. ...

Verified Answer:

Using the free-body diagram of the portion AC of t...

Question: 6.SP.7

A hydraulic-lift table is used to raise a 1000-kg crate. The table consists of a platform and two identical linkages on which hydraulic cylinders exert equal forces. (Only one linkage and one cylinder are shown.) Members EDB and CG are each of length 2a, and member AD is pinned to the midpoint of ...

Verified Answer:

STRATEGY: The free-body diagram of the entire fram...

Question: 4.3

A loading car is at rest on a track forming an angle of 25° with the vertical. The gross weight of the car and its load is 5500 lb, and it is applied at a point 30 in. from the track, halfway between the two axles. The car is held by a cable attached 24 in. from the track. Determine the tension in ...

Verified Answer:

Free-Body Diagram. A free-body diagram of the car ...