Answer:
the allowable shear stress of the weld is 20,400 psi
Explanation:
here are the step-by-step calculations to find the allowable shear stress of the weld:
Given: The nominal tensile strength of the weld metal is 68,000 psi and the allowable shear stress is 30% of the nominal tensile strength.
To find: The allowable shear stress of the weld.
Solution:
Step 1: Write the formula to find the allowable shear stress.
The allowable shear stress of the weld is equal to 30% of the nominal tensile strength of the weld metal. Mathematically, it can be represented as:
Allowable shear stress = 0.3 * nominal tensile strength
Step 2: Substitute the value of nominal tensile strength.
Substitute the given value of the nominal tensile strength of the weld metal, which is 68,000 psi, into the above formula. This gives:
Allowable shear stress = 0.3 * 68,000 psi
Step 3: Multiply and simplify.
To evaluate the right-hand side of the formula, we can simplify 0.3 * 68,000 as follows:
0.3 * 68,000 psi = (3/10) * 68,000 psi
= 20,400 psi
Step 4: Write the final answer.
The allowable shear stress of the weld is 20,400 psi.
Therefore, the allowable shear stress of the weld is 20,400 psi, which is the final answer.