Question

A W10 x 39 rolled-steal beam supports a load P as shown. Knowing that P = 50 kips, a = 20 in, and $\sigma_{all}$ = 30 ksi, determine (a) the maximum value of the normal stress $\sigma_m$ in the beam, (b) the maximum value of the principal stress $\sigma_{max}$ at the junction of the flange and the web, (c) whether the specified shape is acceptable as far as these two stresses are concerned. P A B 10 ft a C D P a

Name: a w10 x 39 rolled steal beam supports a load p as shown knowing that p 50 kips a 20 in and sigmaall 30 ksi determine a the maximum value of the normal stress sigmam in the beam b the maxim 04317
Uploaded: 2022-11-17T01:46:15-08:00
Duration: 1 min 48 s
Channel: Penny Riley
Description: a w10 x 39 rolled steal beam supports a load p as shown knowing that p 50 kips a 20 in and sigmaall 30 ksi determine a the maximum value of the normal stress sigmam in the beam b the maxim 04317

          A W10 x 39 rolled-steal beam supports a load P as shown. Knowing that P = 50 kips, a = 20 in, and $\sigma_{all}$ = 30 ksi, determine (a) the maximum value of the normal stress $\sigma_m$ in the beam, (b) the maximum value of the principal stress $\sigma_{max}$ at the junction of the flange and the web, (c) whether the specified shape is acceptable as far as these two stresses are concerned.
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a w10 x 39 rolled steal beam supports a load p as shown knowing that p 50 kips a 20 in and sigmaall 30 ksi determine a the maximum value of the normal stress sigmam in the beam b the maxim 04317

Added by Rhonda B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

11/17/2022

Step 1

From a steel properties table (e.g., AISC Manual), for a W10 x 39 section: Depth, d = 9.92 in Flange width, $b_f$ = 7.99 in Flange thickness, $t_f$ = 0.435 in Web thickness, $t_w$ = 0.295 in Moment of inertia, $I_x$ = 209 $in^4$ Section modulus, $S_x$ = 42.0 Show more…

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A W10 x 39 rolled-steal beam supports a load P as shown. Knowing that P = 50 kips, a = 20 in, and $\sigma_{all}$ = 30 ksi, determine (a) the maximum value of the normal stress $\sigma_m$ in the beam, (b) the maximum value of the principal stress $\sigma_{max}$ at the junction of the flange and the web, (c) whether the specified shape is acceptable as far as these two stresses are concerned. P A B 10 ft a C D P a