ProblemCalculate the bending (ax) and shear stress ( riy) at the surface element shown on the solid...

Question

ProblemCalculate the bending (ax) and shear stress ( riy) at the surface element shown on the solid circular shaft below. Use Mohr's circle to calculate the principle stresses, cri , the maximum shear stress on the element, -rinm , and the angle, 9 , between the plane shown and the plane of principle stresses. Use the following data.....F= 20 kips d= 16 in L = 6 ft c = 3 in E 29000 ksi G = 11200 ksi
	
Document Preview: 14
134r-
irs 
4(4 
1 -   
.44 - ,
Problem 1 
, ) at the surface element shown on the solid circular 
Calculate the bending (o-, ) and shear stress ( T x)
shaft below. Use Mohr's circle to calculate the principle stresses, a l  , 62 , the maximum shear stress on 
, , and the angle, 0, between the plane shown and the plane of principle stresses. Use 
the element, rim
the following data 
F = 20 kips 
d = 16 in 
L = 6 ft 
c = 3 in 
E = 29000 ksi 
G = 11200 ksiProblem 2 
Calculate the minimum critical Euler axial compression force, Pcr and the minimum critical Euler axial 
compression stress, cru, for the column below which is pinned at the top and bottom ends and braced as 
shown. Use the following properties.... 
A = 12 in 2  
l xx  = 300 in 4  
Iri  = 50 in 4  
L = 20 ft 
E = 29,000 ksi 
Pcr 
L/2 
COLUMN BRACED 
FROM BUCKLING 
ABOUT Y—Y AXIS 
L/2 
PcrProblem 3 
Derive the equations of the elastic curve and use them to calculate the deflection and rotation at point B 
in terms of E, I, F and L. 
F 
	
L/3 2L/3 
	L

David · Accepted Answer

Solutions
1. Given : F = 20 x 103 lbf, d = 16 in, L = 6 ft = 72 in, c = 3 in, E =
29 x 106 psi, G = 11200 x 103 psi
Torque , T = F x d = 20000 x 16 = 32 x 104 lbf-in.
Bending moment, M =F x L = 20000 x 72 = 144 x 104 lbf-in
Polar moment of intertia , J = πD
4
32
Moment of intertia , I = πD
4
64 where D = 2c
bending stress, σx =
32M
πD3
= 67.91 x 103 psi
shear stress, τxy =
16T
πD3
= 7.55 x 103 psi
The stress on the surface of the shaft is shown in fig.1. The mohrs
circle is shown in fig. 2 . In fig.2, AB = σx, AD = BC = τxy. AG
= σmax = σ1 =, AH = σmin = σ2, AF and EF are normal stress and
1
Figure 1: Stress on the surface of shaft
Figure 2:

Problem Calculate the bending (ax) and shear stress ( riy) at the surface element shown on the solid circular shaft below. Use Mohr's circle to calculate the principle stresses, cri , the maximum...

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment