Solution to Problem 524 | Flexure Formula

Problem 524
A beam with an S380 × 74 section carries a total uniformly distributed load of 3W and a concentrated load W, as shown in Fig. P-524. Determine W if the flexural stress is limited to 120 MPa.
 

Simply supported I-beam

 

Solution to Problem 523 | Flexure Formula

Problem 523
Solve Prob. 522 if wo = 600 lb/ft.
 

Box beam

 

Solution to Problem 522 | Flexure Formula

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 521 | Flexure Formula

Problem 521
A beam made by bolting two C10 × 30 channels back to back, is simply supported at its ends. The beam supports a central concentrated load of 12 kips and a uniformly distributed load of 1200 lb/ft, including the weight of the beam. Compute the maximum length of the beam if the flexural stress is not to exceed 20 ksi.
 

Solution to Problem 520 | Flexure Formula

Problem 520
A beam with an S310 × 74 section (see Appendix B of textbook) is used as a simply supported beam 6 m long. Find the maximum uniformly distributed load that can be applied over the entire length of the beam, in addition to the weight of the beam, if the flexural stress is not to exceed 120 MPa.
 

Solution to Problem 519 | Flexure Formula

Problem 519
A 30-ft beam, simply supported at 6 ft from either end carries a uniformly distributed load of intensity wo over its entire length. The beam is made by welding two S18 × 70 (see appendix B of text book) sections along their flanges to form the section shown in Fig. P-519. Calculate the maximum value of wo if the flexural stress is limited to 20 ksi. Be sure to include the weight of the beam.
 

Solution to Problem 518 | Flexure Formula

Problem 518
A cantilever beam 4 m long is composed of two C200 × 28 channels riveted back to back. What uniformly distributed load can be carried, in addition to the weight of the beam, without exceeding a flexural stress of 120 MPa if (a) the webs are vertical and (b) the webs are horizontal? Refer to Appendix B of text book for channel properties.
 

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.
 

Solution to Problem 516 | Flexure Formula

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.
 

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