Question

Practice Problem: A cantilever beam supports a uniformly distributed load q over part of its span and the concentrated load P at the free end. Determine the deflection and slope at the free end, C. Let EI = 36,000 lb – in². q = 32lb/in P = 250 lb a = 60 in b = 48 in Answer: $\theta_{max} = \frac{5PL^2}{16EI}$; $y_{max} = \frac{3PL^3}{16EI}$

          Practice Problem: A cantilever beam supports a uniformly
distributed load q over part of its span and the concentrated
load P at the free end. Determine the deflection and slope at
the free end, C. Let EI = 36,000 lb – in².
q = 32lb/in
P = 250 lb
a = 60 in
b = 48 in
Answer: $\theta_{max} = \frac{5PL^2}{16EI}$; $y_{max} = \frac{3PL^3}{16EI}$

Practice Problem: A cantilever beam supports a uniformly
distributed load q over part of its span and the concentrated
load P at the free end. Determine the deflection and slope at
the free end, C. Let EI = 36,000 lb – in².
q = 32lb/in
P = 250 lb
a = 60 in
b = 48 in
Answer: θmax = (5PL^2)/(16EI); ymax = (3PL^3)/(16EI)

Added by Melanie G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Gregory Devenport

Step 1

First, we need to determine the reaction forces at the fixed end of the cantilever beam. Since the beam is fixed at one end, there will be a vertical reaction force and a moment reaction. Show more…

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Practice Problem: A cantilever beam supports a uniformly distributed load q over part of its span and the concentrated load P at the free end. Determine the deflection and slope at the free end, C. Let EI = 36,000 lb in^2 = 32 lb/in. P = 250 lb, a = 60 in, b = 48 in. SPLZ Ymax = 16EI / 3PL^3 Answer: Omax