the image below shows a bracket that needs the deflection and stress manually ca
ID: 1862983 • Letter: T
Question
the image below shows a bracket that needs the deflection and stress manually calculated.
Plate is made from 2mm thick steel, E = 220 GPa, Poissons ratio 0.27
Hole A is fixed and is 10mm
Hole B is fixed and is 10mm
Hole C has a vertical force of 50N and is 6mm
Hole D has a force 45 degrees to the vertical I.E North West. and is 6mm
all manual calculations please write or take photo of, very urgent. I know measurements are weird but round to the nearest 0 or 5 to make it easier.
model as simple beams if needed
Explanation / Answer
Answer :
Formula for finding deflection and stress :
Maximum stress in a beam with uniform load supported at both ends can be calculated as
? = y F L / 4 I
where
? = maximum stress (Pa (N/m2), N/mm2, psi)
y = Perpendicular distance from to neutral axis (m, mm, in)
F = load (N, lb)
L = length of beam (m, mm, in)
I = moment of Inertia (m4,mm4, in4)
Maximum deflection can be expressed as
? = F L3 / E I 48
where
? = maximum deflection (m, mm, in)
E = modulus of elasticity (Pa (N/m2), N/mm2, psi)
SOLUTION
T -2mm
E =220gpa =220000N/mm2
Poissons ratio = 0.27
A = 10MM,B =10MM ,C = 50N ON 6MM, D = 45DEGREE V ON 6MM
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