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PE Civil Construction program

Original PE Civil worked example

Temporary shore reactions: tributary area and load path

Calculate an original shore reaction, identify plausible unit and load omissions, and separate reaction calculation from capacity and bracing checks.

Reviewed for the current ReasonSpan™ exam profile · Updated October 10, 2026
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Original exercise: a temporary shore carries a 4 ft by 5 ft tributary area. The exercise supplies a combined construction load of 160 psf and an additional 0.40-kip concentrated load at the shore. Find the unfactored reaction; do not assume that this calculation alone establishes shore capacity or code compliance.

The tributary area is 20 square feet. The distributed contribution is 3,200 lb, or 3.20 kip; adding 0.40 kip gives 3.60 kip. A calculation of 3.20 kip omits the concentrated load, while 320 kip mishandles the pounds-to-kips conversion. Capacity, bracing, connection details and the applicable construction-load provisions are separate checks.

Unfactored shore reaction from supplied loadsR=160(4)(5)1000+0.40=3.60 kipR = \frac{160(4)(5)}{1000} + 0.40 = 3.60\ \mathrm{kip}

Trace the load to the support

CheckExercise evidenceDecision
Tributary area4 ft × 5 ftUse 20 ft², not the whole slab area.
Distributed load160 lb/ft²Multiply by area before converting lb to kip.
Concentrated contribution0.40 kip at this shoreAdd it once to this support.
Capacity and stabilityNot suppliedDo not conclude that the shore is adequate from demand alone.

Try a changed condition without copying the answer

Keep the supplied 160-psf load and 0.40-kip concentrated contribution, but change the tributary rectangle to 3 ft by 6 ft. Calculate before reading: distributed demand is 160 × 18 = 2,880 lb, and total reaction is 3.28 kip. The shorter width does not automatically mean lower demand; use the area and the actual load path.

If the concentrated load transfers through a different support, the reaction at this shore changes. Do not distribute it equally among nearby shores without a stated structural model. For the current Civil exam profile, consult the supplied construction-load and formwork references listed by NCEES; use their applicability and combinations only when the problem calls for them.

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Sources and further reading

Exam requirements can change. Confirm current details with the organization that administers your exam and use the cited sources for the preparation principles summarized here.