## 011 Review Problem - Cutting the strongest square timber

**Problem 11**

Find the waste in cutting the strongest square timber from a circular log of uniform diameter 2 ft. and length 8 ft.

**Problem 11**

Find the waste in cutting the strongest square timber from a circular log of uniform diameter 2 ft. and length 8 ft.

**Problem 4**

The stiffness of a rectangular beam is proportional to the breadth and the cube of the depth. Find the shape of the stiffest beam that can be cut from a log of a given size.

**Problem 581**

A laminated beam is composed of five planks, each 6 in. by 2 in., glued together to form a section 6 in. wide by 10 in. high. The allowable shear stress in the glue is 90 psi, the allowable shear stress in the wood is 120 psi, and the allowable flexural stress in the wood is 1200 psi. Determine the maximum uniformly distributed load that can be carried by the beam on a 6-ft simple span.

**Problem 540**

Timbers 8 inches wide by 12 inches deep and 15 feet long, supported at top and bottom, back up a dam restraining water 9 feet deep. Water weighs 62.5 lb/ft^{3}. (a) Compute the center-line spacing of the timbers to cause f_{b} = 1000 psi. (b) Will this spacing be safe if the maximum f_{b}, (f_{b})_{max} = 1600 psi, and the water reaches its maximum depth of 15 ft?

**Problem 539**

Timbers 12 inches by 12 inches, spaced 3 feet apart on centers, are driven into the ground and act as cantilever beams to back-up the sheet piling of a coffer dam. What is the maximum safe height of water behind the dam if water weighs = 62.5 lb/ft^{3} and ( f_{b} )_{max} = 1200 psi?

**Problem 527**

In Prob. 526, if the load on the overhang is 600 lb/ft and the overhang is x ft long, find the maximum values of P and x that can be used simultaneously.

**Problem 526**

A wood beam 6 in wide by 12 in deep is loaded as shown in Fig. P-526. If the maximum flexural stress is 1200 psi, find the maximum values of w_{o} and P which can be applied simultaneously?

**Problem 516**

A timber beam AB, 6 in wide by 10 in deep and 10 ft long, is supported by a guy wire AC in the position shown in Fig. P-516. The beam carries a load, including its own weight, of 500 lb for each foot of its length. Compute the maximum flexural stress at the middle of the beam.

**Problem 235**

A timber column, 8 in. × 8 in. in cross section, is reinforced on each side by a steel plate 8 in. wide and t in. thick. Determine the thickness t so that the column will support an axial load of 300 kips without exceeding a maximum timber stress of 1200 psi or a maximum steel stress of 20 ksi. The moduli of elasticity are 1.5 × 10^{6} psi for timber, and 29 × 10^{6} psi for steel.

**Problem 129**