rectangular beam

Solution to Problem 642 | Deflection of Cantilever Beams

642 Uniform load over the free end of cantilever beam

Problem 642

Find the maximum deflection for the cantilever beam loaded as shown in Figure P-642 if the cross section is 50 mm wide by 150 mm high. Use E = 69 GPa.

 

Solution to Problem 583 | Design for Flexure and Shear

583 Rectangular beam loaded with uniform and concentrated loads

Problem 583

A rectangular beam 6 in. wide by 10 in. high supports a total distributed load of W and a concentrated load of 2W applied as shown in Fig. P-583. If fb ≤ 1500 psi and fv ≤ 120 psi, determine the maximum value of W.

 

Solution to Problem 571 | Horizontal Shearing Stress

570-571 Rectangular box beam

Problem 571

For a beam with the same cross section as that in Prob. 570, plot the shearing stress distribution across the section at a section where the shearing force is V = 1800 lb.

 

Solution to Problem 570 | Horizontal Shearing Stress

Problem 570

Rectangular box beamA uniformly distributed load of 200 lb/ft is carried on a simply supported beam span. If the cross-section is as shown in Fig. P-570, determine the maximum length of the beam if the shearing stress is limited to 80 psi. Assume the load acts over the entire length of the beam.

 

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 567 | Horizontal Shearing Stress

Problem 567

A timber beam 80 mm wide by 160 mm high is subjected to a vertical shear V = 40 kN. Determine the shearing stress developed at layers 20 mm apart from the top to bottom of the section.

 

Solution to Problem 527 | Flexure Formula

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.

 

Solution to Problem 526 | Flexure Formula

526-527 Rectangular wood beam

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 wo and P which can be applied simultaneously?

 

Solution to Problem 522 | Flexure Formula

522 Box beam

Problem 522

A box beam is composed of four planks, each 2 inches by 8 inches, securely spiked together to form the section shown in Fig. P-522. Show that INA = 981.3 in4. If wo = 300 lb/ft, find P to cause a maximum flexural stress of 1400 psi.

 

Solution to Problem 517 | Flexure Formula

Problem 517

A rectangular steel bar, 15 mm wide by 30 mm high and 6 m long, is simply supported at its ends. If the density of steel is 7850 kg/m3, determine the maximum bending stress caused by the weight of the bar.

 

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