Chapter 16.2, Problem 48P

Three wires are used to suspend the plate shown. Aluminum wires of 18-in. diameter are used at A and Bwhile a steel wire of 112-in. diameter is used at C. Knowing that the allowable stress for aluminum (Ea510.4 3 106 psi) is 14 ksi and that the allowable stress for steel (Es529 3 106 psi) is 18 ksi, determine the maximum load P that can be applied

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.

Two wooden members of uniform cross section are joined by the simple scarf splice shown. Knowing that the maximum allowable tensile stress in the glued splice is 96.8 psi, determine the largest load P that can be safely supported if W = 4.8 in, L = 9.2 in and θ= 54.4.

Column ABC has a uniform rectangular cross section with b=12 mm and d=22 mm. The column is braced in the xz plane at its midpoint C and carries a centric load P of magnitude 3.8 kN. Knowing that a factor of safety of 3.2 is required, determine the largest allowable length L. Use E=200 GPa

A steel loop ABCD of length 5 ft and of 3838 -in. diameter is placed as shown around a 1-in.-diameter aluminum rod AC. Cables BE and DF, each of 1212 -in. diameter, are used to apply the load Q. Knowing that the ultimate strength of the steel used for the loop and the cables is 75 ksi, and that the ultimate strength of the aluminum used for the rod is 45 ksi, determine the largest load Q that can be applied if an overall factor of safety of 3 is desired.    The largest load Q that can be applied is  kips.

In the structure shown, an 8-mm diameter pin is used at A, and 12- mm diameter pins are used at B and D. Knowing that the ultimate shearing stresses is 100 MPa at all connections and that 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.

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.

In the steel structure shown, a 6-mm-diameter pin is used at C and 12-mm-diameter pins are used at B and D. The ultimate shearing stress is 150 MPa at all connections, and the ultimate normal stress is 350 MPa in link BD. Knowing that a factor of safety of 3.0 is desired, determine the largest load P that can be applied at A. Note that link BD is not reinforced around the pin holes.        The largest load P that can be applied at A is  kN.

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.