4103me.091

# 4103me.091 - Closed Books Closed Notes MEEG 4103 Name:

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Closed Books Closed Notes MEEG 4103 Name: __________________________________ Midterm Exam ID#: _____________________________________ (Underline your last name.) 1. (30%) A steel countershaft ( E 30 × 106 psi ) with roller bearings at O and B is in equilibrium as = shown, where T1 = 9 T2 . Taking the bearings as simple supports, determine (a) the deflection yC at C, (b) the minimum shaft diameter d min needed, using ⅛-in. increments, if the slope at either bearing should not exceed 0.05° , (c) the value of yC when the shaft diameter is d min . Fig. P1 2. (20%) Using the traction vector formula t i = σj i n j derive the octahedral normal stress σo ct and the octahedral shear stress τo ct in terms of the principal stresses: σ 1 , σ 2 , σ 3 . Include pertinent sketches in the derivation. 3. (20%) Describe the octahedral-shear-stress theory and show that this theory gives the same equivalent stress ( σ ′ ) for yielding as that given in the distortion energy theory. 4. (30%) A bar of AISI 1040 hot-rolled steel has a minimum yield strength in tension and compression of 42 kpsi. Using the distortion-energy and maximum-shear-stress theories, computing the von Mises stress, drawing the stress element, and drawing Mohr’s circle diagrams, determine the factor of safety n for the following plane stress states: (a) σ x = 30 kpsi, τ x y = − 8 kpsi (b) σ x =σ y = x y = − 24 kpsi, −12 kpsi, τ − 8 kpsi (c) σ x = 1= 28 kpsi, τ x y 6 kpsi 2 kpsi, σ y = ...
View Full Document

## This note was uploaded on 11/24/2011 for the course MEEG 4103 taught by Professor Ing-chang,j during the Spring '08 term at Arkansas.

Ask a homework question - tutors are online