Answer:
i) SF:
ii) BM :
Explanation:
Let's take,
Making y the subject of formula, we have :
For shear force (SF), we have:
This is the area of the diagram.
The shear force equation =
For bending moment (BM):
The bending moment equation =
Complete Question
For some metal alloy, a true stress of 345 MPa (50040 psi) produces a plastic true strain of 0.02. How much will a specimen of this material elongate when a true stress of 411 MPa (59610 psi) is applied if the original length is 470 mm (18.50 in.)?Assume a value of 0.22 for the strain-hardening exponent, n.
Answer:
The elongation is
Explanation:
In order to gain a good understanding of this solution let define some terms
True Stress
A true stress can be defined as the quotient obtained when instantaneous applied load is divided by instantaneous cross-sectional area of a material it can be denoted as .
True Strain
A true strain can be defined as the value obtained when the natural logarithm quotient of instantaneous gauge length divided by original gauge length of a material is being bend out of shape by a uni-axial force. it can be denoted as .
The mathematical relation between stress to strain on the plastic region of deformation is
Where K is a constant
n is known as the strain hardening exponent
This constant K can be obtained as follows
No substituting from the question we have
Making the subject from the equation above
From the definition we mentioned instantaneous length and this can be obtained mathematically as follows
Where
is the instantaneous length
is the original length
We can also obtain the elongated length mathematically as follows
Answer:
Explanation:
Diffusion flux of a gas, J is given by
where
is permeability coefficient,
P is pressure difference and x is thickness of membrane.
The pressure difference will be 10,000 Pa- 3000 Pa= 7000 Pa
At 298 K, the permeability coefficient of water vapour through polypropylene sheet is
Since the thickness of sheet is given as 1mm= 0.1 cm then
Therefore, the diffusion flux is