Question

In all the questions below, the material is structural steel with σf = 220 MPa, E = 200 GPa, ν = 0.3, and α = 12×10-6 /℃.

Question 3 The circular steel rod (D = 0.1 m) in Figure 3 is constrained by end plates and is subjected to axial load P. Calculate: 1. The internal reaction in AB 2. The internal reaction in BC 3. The maximum value for P for the rod to carry the load with a safety margin of 30%. 4. The resulting change in length of AB 5. The resulting change in length of BC 6. The resulting change in the diameter of AB 7. The resulting change in the diameter of BC What readings would be produced by the two strain gauges (labeled 1 and 2) that are placed on BC. Give your answers in micros (u). 1 m P B 1 m С i 2. Dod subiected to aviallad

Answer 1

RA Re Efy.ro RATRE P Sim Elongation in both Section zero. Net teffect era compression in t elongation in Bezo RB LB + RALA EA 2 6 EA Eirin are same for both. A solving the two equations gives eld//old Ro 2

3 since the COSS section al are a is also same, Stresses will also be same, dui to same loading comp, tensile I A 2x * 1 x 012 C.63.66 2x

Margin of satety Factor of safety -) Fs 1) It 36 100 2 13 § 64100 money PS 63-662' XP 220 13 N P € 2.65&2 Mx106 P . 2 658.27 KN PL UD 8 AB GA 2656.27 x lo'xs 2 200.x109 x 0x0X 8 ,001692 m 5 SAB 8 BC foc o oo1641