Chapter 16.2, Problem 39P

A sawn lumber column with a 7.5* 5.5-in. cross section has an 18-ft effective length. Knowing that for the grade of wood used the adjusted allowable stress for compression parallel to the grain isσC= 1200 psi and that the adjusted modulus E= 470 *103 psi, determine the maximum allowable centric load for the column.

A solid 5/8-in. steel [E= 29,000 ksi] rod (1) supports beam AB. If the stress in the rod must not exceed 30 ksi and the maximum deformation in the rod must not exceed 0.25 in., determine the maximum load P that may be supported.

In the structure shown, an 8-mm-diameter pin is used at A and 12 mmdiameter pins are used at B and D. Knowing that the ultimate shearingstress is 100 MPa at all connections and the ultimate normal stress is 250 MPa in each of the two links joining B and D, determine the allowable load P if an overall factor of safety of 3.0 is desired.

steel bar ABCD consists of three sections: AB is of 30mm diameter and 100 mm long, BC is 20 mm square and 400 mm long, and CD is of 12 mm diameter and 200mm long. The bar is subjected to an axial compressive load which induces a stress of 50 MN/m2 on the largest cross-section. Determine the total decrease in the length of the bar when the load is applied. For steel E = 210GN/m2 .

A load P is applied to a steel plate in which a 12 mm diameter perforated plate is carried. Determine the approximate value (kN) of the largest Pin that can be applied to the tool so that the shear stress in the steel bar does not exceed 100 MPa.

Each of the four vertical Ilinks has an 8 x 36-mm uniform rectangular cross section and each of the four pins has a 16-mm diameter. Take P= 19 kN. 0.4 m C 0.25 m 0.2 m B. P Determine the average bearing stress at Bin member ABC, knowing that this member has a 10 x 50-mm uniform rectangular cross section. MPa. The average bearing stress at Bin member ABC is.

A solid aluminum [E = 64 GPa] rod (1) is connected to a solid bronze [E = 114 GPa] rod (2) at flange B, as shown. Aluminum rod (1) has an outside diameter of 36 mm and bronze rod (2) has an outside diameter of 17 mm. The normal stress in the aluminum rod must be limited to 124 MPa, and the normal stress in the bronze rod must be limited to 92 MPa. Assume L1 = 168 mm and L2 = 399 mm. Determine: (a) the maximum downward load P that may be applied at flange B. (Answer: P = 146kN)(b) the deflection vB (downward is positive) of flange B at the load determined in part(a). (Answer: vB = .322 mm)

Knowing that connecting rod BD has a uniform cross section of area equal to 800 mm², determine the magnitude of the load P so that the normal stress in rod BD is 50 MPa.

A timber column, 8in. by 8in. in cross section is reinforced on all four sides by steel plates, each plate being 8in. wide and "t"in. thick. Determine the smallest value of "t" for which the column can support an axial load of 300 kips if the working stresses are 1200psi for timber and 20ksi for steel. The moduli of elasticity are 1.5x10^6psi for timber and 29x10^6psi foe steel -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.