beam

Solution to Problem 581 | Design for Flexure and Shear

581 Five Planks Laminated Beam

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.

 

Solution to Problem 576 | Horizontal Shearing Stress

576 Shear force carried by web alone of wide flange section

Problem 576

Rework Prob. 575 assuming that the web is 200 mm instead of 160 mm.

 

Solution to Problem 575 | Horizontal Shearing Stress

575-576 Shear Force Carried by Wide Flange Section

Problem 575

Determine the maximum and minimum shearing stress in the web of the wide flange section in Fig. P-575 if V = 100 kN. Also, compute the percentage of vertical shear carried only by the web of the beam.

 

Solution to Problem 574 | Horizontal Shearing Stress

574 Location of maximum horizontal shearing stress

Problem 574

In the beam section shown in Fig. P-574, prove that the maximum horizontal shearing stress occurs at layers h/8 above or below the NA.

 

Solution to Problem 573 | Horizontal Shearing Stress

573 Location of maximum horizontal shear of triangular beam

Problem 573

The cross-section of a beam is an isosceles triangle with vertex uppermost, of altitude h and base b. If V is the vertical shear, show that the maximum shearing stress is 3V / bh located at the midpoint of the altitude.

 

18 - 20 Rectangular beam in maxima and minima problems

DiffCalc 003 Rectangular beam from a circular log

Problem 18

The strength of a rectangular beam is proportional to the breadth and the square of the depth. Find the shape of the largest beam that can be cut from a log of given size.

 

Solution to Problem 516 | Flexure Formula

516 Timber beam supported by guy wire

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.

 

Solution to Problem 253 Statically Indeterminate

253 Rigid beam supported by pin and rods

Problem 253

As shown in Fig. P-253, a rigid beam with negligible weight is pinned at one end and attached to two vertical rods. The beam was initially horizontal before the load W = 50 kips was applied. Find the vertical movement of W.

Solution to Problem 128 Bearing Stress

128 W18 x 86 beam riveted to W24 x 117 girder

Strength of Materials 4th Edition by Pytel and Singer
Problem 128 page 21

Given:
Shape of beam = W18 × 86
Shape of girder = W24 × 117
Shape of angles = 4 × 3-½ × 3/8
Diameter of rivets = 7/8 inch
Allowable shear stress = 15 ksi
Allowable bearing stress = 32 ksi

Required: Allowable load on the connection

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