Question:The beam is supported by a pin at A and a short link BC. If P = 10kN , determine the average shear stress developed...
Question
The beam is supported by a pin at A and a short link BC.
If P = 10kN, determine the average shear stress developed in the pins atA, B, and C . All pins are in double shear as shown, and
each has a diameter of 17mm
The beam is supported by a pin at A and a short link BC. If P = 10kN , determine the average shear stress developed...
A body is in equilibrium if vector sum of all the forces is equal to zero or moment of all force vectors about any point is equal to zero.
Magnitude of moment can be calculated by multiplying the magnitude of force with the perpendicular distance between the point where the force is applied and the point where the moment to be found.
Shear stress:
It is the ratio of a force and area tangential to the action of force.
Double shear stress:
Consider a pin on which two supports are connected.
Here, two shear stress acts on the pin at location 1 and 2. Shear 1 on pin due to left support and top right support, shear 2 due to left support and bottom right support.
So double shear is given as follows:
(τ)avg=2AF
Fundamentals
Write the equilibrium equation of force vector.
∑F=0F1+F2+....+Fn=0
Moment of can be calculated as follows:
It can be calculated by multiplying the magnitude of force with the distance between the point of application of force and point about which moment is to be calculated.
General sign convection for moment: The moment is considered positive in counter-clockwise direction and negative in clockwise direction.
General sign convection for axis: Distance along the axis is positive and opposite to the axis is negative.