1. A solid steel shaft supported by self-aligning

bearings and subjected to a uniformly

distributed load of 20 lb/in. Using Castigliano's

theorem, determine the needed diameter (d) if

the maximum allowable deflection is 0.20 mm.

(assume that transverse shear is negligible, and

an elasticity modulus of 30 Mpsi).

2. A simply supported beam is made of a material

with an elasticity modulus of 30 Mpsi and has a

second moment of area of 0.163 in^4. The

beam is subjected to a uniformly distributed

load over part of its length. Calculate deflection

and slop over the beam span using direct

integration

i)

ii)

Determine maximum deflection and its

location from the left support.

Draw the slope and the deflection

diagrams, preferably using computer

programming.

0.75d

5 in

4 in

w = 20 lb/in

15 in

10 in

d

w = 100 lb/in

0.75d

5 in

819 PM