Chapter 16, Problem 49RP

An aluminum strut 2.50m long has a rectangular section 60mm by 30mm. A bolt through each end secures the strut so that it acts as a hinged column about an axis perpendicular to the 60 mm dimension and as a fixed ended column about an axis perpendicular to the 30mm dimension. Determine the safe central load using a factor of safety of 2.5 and E = 70 Gpa.

(a) Considering only buckling in the plane of the structure shown and using Euler’s formula, determine the value of θbetween 0 and 90° for which the allowable magnitude of the load P is maximum. (b) Determine the corresponding maximum value of P knowing that a factor of safety of 3.2 is required. Use E= 29 x 106 psi.

Determine the critical load of a pin-ended steel tube that is 5 m long and has a 100-mm outer diameter and a 16-mm wall thickness. Use E=200 GPa.

Column ABC has a uniform rectangular cross section and is braced in the xz plane at its midpoint C. (a) Determine the ratio b/d for which the factor of safety is the same with respect to buckling in the xz and yz planes. (b) Using the ratio found in part a, design the cross section of the column so that the factor of safety will be 3.0 when P= 4.4 kN, L=1 m, and E=200 GPa

The horizontal link BC is 6.35 mm thick, has a width w = 31.8 mm, and is made of steel with ultimate tensile strength equal to 483 MPa. What should be the factor of safety to be used if the structure shown is designed to support a load P = 44.5 kN.

Determine if the following column is long or short, and then determine the critical load on a steel column having a rectangular cross-section, 12mm by 18mm and length of 250 mm. it is fixed on both ends and made from a steel that has the following properties: E=209 Gpa and Sy=290 Mpa.

Determine the critical load of a pin-ended wooden stick that is 3 ft long and has a 3/16 × 1 1/4-in. rectangular cross section. Use E = 1.6 × 106 psi. (Round the final answer to two decimal places.)

Rigid bar ABC is supported by pin-connected bar (1). Bar (1) is 2.0-in. wide, 1.00-in. thick, and made of aluminum that has anelastic modulus of E = 12,000 ksi. Determine the maximum magnitude of load P that can be applied to the rigid bar withoutcausing member (1) to buckle

The steel frame shown has a diagonal brace BD with an area of 1548 sq.mm. Determine the largest allowable load P (in N) if the change in length of member BD is not to exceed 1.35 mm. Use x = 4.59m, y = 5.76m, and E = 199.3 Gpa. Express your answer in four decimal places.