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(15%) Problem 1 (Pro 8.3 Textbook modified):

A 12-foot-long single overhang beam is loaded as shown. Assuming a W8 x 35 determine:

1. The maximum tensile and compressive bending stress.

2. The average web shear stress

The uniformly distributed load includes the weight of the beam. Given: A992 steel Fb = 30 ksi.,

Fv = 20 ksi. For W8 x 35 section properties see Table A3 (Textbook Appendix).

5K

bf=8.02"

tw=0.310".

t=0.495"

d = 8.12"

t₁ = 0.495"

W8x35; (1, -127 in., S, -31.2 in.³, d-8.12", c=4.06")

A

7.8k

+7.8

+DI

6'

1°

2⁰

5k

-3.2

+1.8

W=1*/PT.

6'

1°

28.8k-ft

(0 = 1k/t

2⁰

-8k-ft

4'

13.2k

+4

-9.2

1°

2⁰

'V'

'M'

Fig: 1