Question

Difficulty: MediumWrenches

A technician is servicing an auxiliary equipment mount secured with a 14 mm14\text{ mm} hex-head bolt. If the technician attempts to substitute a standard fractional (SAE) wrench, which size will slip over the bolt head with excessive clearance and risk rounding off the fastener corners?

  1. A
    1/2 in1/2\text{ in}
  2. 9/16 in9/16\text{ in}Answer
  3. C
    5/8 in5/8\text{ in}
  4. D
    7/16 in7/16\text{ in}

Answer

9/16 in9/16\text{ in}
A 9/16 in9/16\text{ in} wrench measures 0.5625 in0.5625\text{ in}, which equals approximately 14.29 mm14.29\text{ mm}. Because this opening is only 0.29 mm0.29\text{ mm} larger than a 14 mm14\text{ mm} (0.5512 in0.5512\text{ in}) bolt head, the wrench will slide over the fastener but fit loosely. Under torque, this excess clearance causes the wrench jaws to ride over and round off the hex corners.

Step-by-Step Solution

1
Convert the metric bolt size to its exact inch decimal equivalent.
14 mm÷25.4 mm/in≈0.5512 in14\text{ mm} \div 25.4\text{ mm/in} \approx 0.5512\text{ in}
Converting metric dimensions to decimal inches allows direct comparison with fractional SAE sizes.
2
Calculate the decimal inch and millimeter equivalents of candidate fractional SAE wrenches.
7/16 in=0.4375 in=11.11 mm7/16\text{ in} = 0.4375\text{ in} = 11.11\text{ mm}; 1/2 in=0.5000 in=12.70 mm1/2\text{ in} = 0.5000\text{ in} = 12.70\text{ mm}; 9/16 in=0.5625 in=14.29 mm9/16\text{ in} = 0.5625\text{ in} = 14.29\text{ mm}; 5/8 in=0.6250 in=15.88 mm5/8\text{ in} = 0.6250\text{ in} = 15.88\text{ mm}.
Identifying the exact physical opening size of each SAE wrench determines whether it can fit over the bolt.
3
Evaluate which wrench size fits onto the head but creates dangerous slop.
9/16 in9/16\text{ in} is 0.29 mm0.29\text{ mm} (0.0113 in0.0113\text{ in}) larger than 14 mm14\text{ mm}, allowing it to fit over the hex head but with enough loose play to slip and round the corners.
Wrenches smaller than 14 mm14\text{ mm} will not fit at all, while wrenches that are slightly oversized fit loosely and ruin the fastener under load.

Key Concept

Wrench Sizing and Metric-to-SAE Incompatibility

Alternative Method

Multiply the fractional inch by 25.4 mm/in25.4\text{ mm/in} to determine millimeter width: (9÷16)×25.4=14.2875 mm(9 \div 16) \times 25.4 = 14.2875\text{ mm}, which reveals the slight 0.29 mm0.29\text{ mm} oversize compared to 14 mm14\text{ mm}.
Estimated Time:1m 0s
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