What do you mean by "about x" etc.? You seem to be confusing forces and moments. The 6 sin 30 is a force in the y direction, but the 3(3) looks more like a moment, though I can't match it to anything in the diagram (there is no 3kN force anywhere), and the 5(4) might be the moment of the 5kN force at D about E.goldfish9776 said:
3(3) + (5-3)(0.5)(3) + 5(4) + (7-5)(4)(0.5) , each term here represent the different region for the load distribution diagram , i already stated it in the diagramharuspex said:
You did indeed, but I still cannot see how you are getting these terms.goldfish9776 said:
You really should learn the formula for calculating the area of a trapezoid:goldfish9776 said:
SteamKing said:You really should learn the formula for calculating the area of a trapezoid:
It saves quite a bit of time. If b1 or b2 is zero, this formula reduces to that of finding the area of a triangle, A = (1/2)hb.
You should be aware that the load shown at point D is a 5 kN concentrated load. It is a separate load from the distributed load.
The value of the distributed load at point D is not 5 kN/m. The distributed loading changes by 4 kN/m over a distance of 7 m, so the value of the distributed loading at point D is calculated by linear interpolation. This step is unnecessary if you know how to calculate the area of a trapezoid, as shown above.
There is also a couple of magnitude 5 kN-m acting CCW shown at point C, which doesn't seem to appear in your calculations.
The problem statement as given is confusing, as haruspex noted. Please provide the exact wording for this problem from your text.
Yes, though I would have done it as 5+(3+4)(3+7)/2, the (3+7)/2 being the average spread load.goldfish9776 said:
The concept of equivalent resultant force is a principle in physics that states that multiple forces acting on an object can be replaced by a single force that has the same effect on the object's motion.
Equivalent resultant force is calculated by adding together all of the individual forces acting on an object using vector addition. This results in a single force vector that represents the combined effect of the multiple forces.
Equivalent resultant force and net force are often used interchangeably, but there is a subtle difference between the two. Equivalent resultant force refers to a single force that represents the combined effect of multiple forces, while net force specifically refers to the sum of all the forces acting on an object in a specific direction.
Equivalent resultant force determines the direction and magnitude of an object's motion. If the equivalent resultant force is zero, the object will remain at rest or continue moving at a constant velocity. If the equivalent resultant force is non-zero, the object will accelerate in the direction of the force.
Yes, equivalent resultant force can be negative. This occurs when the individual forces acting on an object are in opposite directions, resulting in a net force that is in the opposite direction. In this case, the negative equivalent resultant force will cause the object to accelerate in the opposite direction of the net force.
