simple beam

Problem 710 | Two simple beams at 90 degree to each other

Problem 710
Two timber beams are mounted at right angles and in contact with each other at their midpoints. The upper beam A is 2 in wide by 4 in deep and simply supported on an 8-ft span; the lower beam B is 3 in wide by 8 in deep and simply supported on a 10-ft span. At their cross-over point, they jointly support a load P = 2000 lb. Determine the contact force between the beams.
 

Problem 657 | Beam Deflection by Conjugate Beam Method

Problem 657
Determine the midspan value of EIδ for the beam shown in Fig. P-657.
 

657-conjugate-beam-method.gif

 

Problem 656 | Beam Deflection by Conjugate Beam Method

Problem 656
Find the value of EIδ at the point of application of the 200 N·m couple in Fig. P-656.
 

656-conjugate-beam-method.gif

 

Problem 655 | Beam Deflection by Conjugate Beam Method

Problem 655
Find the value of EIδ under each concentrated load of the beam shown in Fig. P-655.
 

655-conjugate-beam-method.gif

 

Problem 654 | Beam Deflection by Conjugate Beam Method

Problem 654
For the beam in Fig. P-654, find the value of EIδ at 2 ft from R2.
 

654-conjugate-beam-method.gif

 

Problem 653 | Beam Deflection by Conjugate Beam Method

Problem 653
Compute the midspan value of EIδ for the beam shown in Fig. P-653. (Hint: Draw the M diagram by parts, starting from midspan toward the ends. Also take advantage of symmetry.
 

653-conjugate-beam-method.gif

 

238 Finding the resultant of trapezoidal loading

Problem 238
The beam AB in Fig. P-238 supports a load which varies an intensity of 220 N/m to 890 N/m. Calculate the magnitude and position of the resultant load.
 

Simple beam with trapezoidal load over the entire span

 

Solution to Problem 691 | Beam Deflection by Method of Superposition

Problem 691
Determine the midspan deflection for the beam shown in Fig. P-691. (Hint: Apply Case No. 7 and integrate.)
 

Solution to Problem 690 | Beam Deflection by Method of Superposition

Problem 690
The beam shown in Fig. P-690 has a rectangular cross section 50 mm wide. Determine the proper depth d of the beam if the midspan deflection of the beam is not to exceed 20 mm and the flexural stress is limited to 10 MPa. Use E = 10 GPa.
 

Solution to Problem 687 | Beam Deflection by Method of Superposition

Problem 687
Determine the midspan deflection of the beam shown in Fig. P-687 if E = 10 GPa and I = 20 × 106 mm4.
 

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