Beam Shear Forces Calculation

What is the resultant shear force when two shear forces v_1=8 kip and v_2=2 kip are applied?

a. The resultant shear force is 10 kip

b. The resultant shear force is 6 kip

c. The resultant shear force is 8 kip

d. The resultant shear force is 2 kip

Answer:

The given shear forces v_1 of 8 kip and v_2 of 2 kip must be added together to find the resultant shear force. After adding v_1 and v_2, the total resultant shear force is 10 kip, making option 'a' the correct answer.

The student's question concerns the calculation of the resultant shear force acting on a beam when two separate shear forces are applied. In physics, particularly in the study of mechanics, shear forces are a type of force that acts parallel to the surface. The question presents two shear forces, v_1 equal to 8 kip and v_2 equal to 2 kip. The resultant shear force is found by simply adding these two forces together.

Adding v_1 (8 kip) and v_2 (2 kip) gives us a total of 10 kip, which means the correct choice is 'a'. It is important to note that shear force calculations play a critical role in engineering and physics, helping to determine how materials will respond under various types of loads.