Question

5.6-1 A cantilever beam of length $L = 2.2$ m supports a uniform load of intensity $q = 2.8$ kN/m and a concentrated load $P = 12$ kN (see figure). Calculate the required section modulus $S$ if $\sigma_{allow} =$ 110 MPa. Then select a suitable wide-flange beam from Table E-1, Appendix E available online, and recalculate $S$ taking into account the weight of the beam. Select a new beam size if necessary.

          5.6-1 A cantilever beam of length $L = 2.2$ m supports a
uniform load of intensity $q = 2.8$ kN/m and a concentrated
load $P = 12$ kN (see figure).
Calculate the required section modulus $S$ if $\sigma_{allow} =$
110 MPa. Then select a suitable wide-flange beam from
Table E-1, Appendix E available online, and recalculate
$S$ taking into account the weight of the beam. Select a new
beam size if necessary.

5.6-1 A cantilever beam of length L = 2.2 m supports a
uniform load of intensity q = 2.8 kN/m and a concentrated
load P = 12 kN (see figure).
Calculate the required section modulus S if σallow =
110 MPa. Then select a suitable wide-flange beam from
Table E-1, Appendix E available online, and recalculate
S taking into account the weight of the beam. Select a new
beam size if necessary.

Added by Luis C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Nishant Kumar

Step 1

Calculate the maximum bending moment (M) at the fixed end of the cantilever beam. The maximum bending moment occurs at the fixed end of the beam and can be calculated using the formula: M = (P * L) + (q * L^2 / 2) M = (12 kN * 2.2 m) + (2.8 kN/m * (2.2 m)^2 / 2) M Show more…

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5.6-1 A cantilever beam of length L = 2.2 m supports a uniform load of intensity q = 2.8 kN/m and a concentrated load P = 12 kN (see figure). Calculate the required section modulus S if allowable = 110 MPa. Then select a suitable wide-flange beam from Table E-1, Appendix E available online, and recalculate S taking into account the weight of the beam. Select a new beam size if necessary. P = 12 kN q = 2.8 kN/m L = 2.2 m PROB. 5.6-1