A beam-column has the following properties and loading: A992 W8x35 and an unbraced length of 10-ft.  Pu = 160 kip.  It is bent about its strong axis. The two ends are pinned, and the beamcolumn is part of a braced frame (BF) system.  Take Cb = 1.14.  Take the moment modification factor, B1, to be 1.06 to assist you in determining the magnified moment (Mr) from the factored moment with no translation (Mnt). What is the maximum factored bending moment (Mu) that can be applied to the beam-column and still meet AISC Equation H1-1a?

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Chapter2: Concepts In Structural Steel Design
Section: Chapter Questions
Problem 2.3P: A beam is part of the framing system for the floor of an office building. The floor is subjected to...
Question

A beam-column has the following properties and loading: A992 W8x35 and an unbraced length of 10-ft.  Pu = 160 kip.  It is bent about its strong axis. The two ends are pinned, and the beamcolumn is part of a braced frame (BF) system.  Take Cb = 1.14.  Take the moment modification factor, B1, to be 1.06 to assist you in determining the magnified moment (Mr) from the factored moment with no translation (Mnt). What is the maximum factored bending moment (Mu) that can be applied to the beam-column and still meet AISC Equation H1-1a? 

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Step 1: Introduce the problem statement

S e c t i o n colon space bottom enclose W space 8 X 35 comma space A 992 space g r a d e space end enclose
U n b r a c e d space l e n g t h space L equals 10 space f t
P subscript u equals 160 space k i p
T h e space t w o space e n d s space a r e space p i n n e d comma space a n d space t h e space b e a m c o l u m n space i s space p a r t space o f space a space b r a c e d space f r a m e space left parenthesis B F right parenthesis space s y s t e m.
T a k e space C subscript b equals 1.14
T a k e space t h e space m o m e n t space m o d i f i c a t i o n space f a c t o r comma space B 1 comma space t o space b e space 1.06 space t o space a s s i s t space y o u space i n space d e t e r m i n i n g space t h e space m a g n i f i e d space
m o m e n t space left parenthesis M subscript r right parenthesis space f r o m space t h e space f a c t o r e d space m o m e n t space w i t h space n o space t r a n s l a t i o n space left parenthesis M subscript n t end subscript right parenthesis

bottom enclose T o space d e t e r m i n e colon end enclose
minus T h e space m a x i m u m space f a c t o r e d space b e n d i n g space m o m e n t space left parenthesis M u right parenthesis space t h a t space c a n space b e space a p p l i e d space a n d space t o space e n s u r e space
A I S C space E q u a t i o n space H 1 minus 1 a space i s space m e t.

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