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Engineering & Technology · Civil Structures & Structural Engineering

Permanent, variable and environmental loads

A total weight does not describe every effect on a structure. The same horizontal force applied higher up has a larger overturning moment. A concentrated machine and a uniform floor pressure with the same resultant can also create different local demands. Loads need locations, directions and conditions as well as magnitudes.

Use Statics & Solid Mechanics, Materials Selection & Degradation and Measurement, Units & Engineering Evidence. Floor pressures, member properties, oscillator inputs and remaining areas are hypothetical teaching assumptions. No site-specific hazards, current code values, construction permissions or qualified structural designs are supplied.

Back to the chapter

After reading, you can

Distinguish load origin, units, position and timing before combining actions or calculating reactions.

01

Describe what produces the action

Permanent actions include a structure’s own weight and specified fixed components. Variable occupancy actions can change with use and position: people, stored items or moving vehicles do not always fill the same area. Environmental actions include wind, snow, water and ground motion. These categories help organize assumptions; they do not supply a numerical value for a particular site.

Some actions arise from an imposed change rather than a freely applied force. Restrained thermal expansion, material shrinkage and differential settlement can generate internal forces because connected parts cannot move as they would separately. A perfectly free uniform expansion can produce a displacement without thermal stress. The restraints and compatibility therefore belong in the load model.

02

Keep force, pressure, line load and moment distinct

Weight is a force. Unit weight in kN/m³ multiplied by volume gives kilonewtons; multiplied by a uniform layer thickness it gives kN/m². An area pressure becomes a beam line load only after assigning a contributing width. A line load in kN/m becomes a resultant force after integration over length. Do not add these different units directly.

For a resultant, retain its line of action. A uniform load’s resultant can reproduce a whole-body reaction calculation, while discarding information needed to find local bending or shear. A lateral resultant also has a moment arm above the supports. Wind pressure varies over surfaces and can act as suction as well as inward pressure; a single resultant is a deliberately reduced description.

Load position changes reactions even when force stays constantAn original rigid-body equilibrium model holds centered gravity and support spacing fixed.The same lateral force has more overturning effect higher upUpward vertical support reaction / kNHeight of a 12 kN rightward resultant / m01234564050607080Solid: left support; dashed: right support; spacing 4 mCentered gravity 120 kN; at height 3 m: reactions 51 kN and 69 kN
Horizontal axis is resultant height 0–6 m, not building height or time. A 120 kN centered downward gravity force acts between two supports 4 m apart. A 12 kN rightward force at height h produces clockwise moment 12 h kN m. Upward reactions are left 60−3 h and right 60+3 h kN. At h=3 m they are 51 and 69 kN. Horizontal reaction totals 12 kN leftward but its support split is unspecified. This abstract equilibrium model does not select a foundation or a code load combination.
03

State which actions act together

A load case describes a chosen spatial pattern and time or operating condition. A combination states how specified cases are considered together for a particular assessment. Full maxima of all actions are not automatically simultaneous, and a smaller stabilizing gravity force can sometimes be more adverse. Requirements and coefficients depend on the applicable design basis; the classroom values here are supplied assumptions.

Quasi-static analysis neglects inertia when appropriate to the changing action and structural timescale. Rapid or repeated excitation can require dynamic response, which the later lesson develops. Construction conditions and changed use also require their own cases. An original occupancy label or an old calculation cannot establish that a newly concentrated storage load is acceptable.

Gravity and a lateral force give unequal support reactions

Consider an abstract rigid body supported at two points 4 m apart. Permanent and variable pressures of 3 and 2 kN/m² over 24 m² give a centered downward resultant of 120 kN. Supply a simultaneous 12 kN rightward lateral force at height 3 m. Its clockwise moment is 36 kN m.

Taking moments about the left support gives 4 Rright−120×2−12×3=0, so the upward right reaction is 69 kN. Vertical balance gives the left reaction 51 kN. Horizontal reactions total 12 kN leftward; their split is unspecified. The plot varies only lateral-force height. These inputs are not a prescribed building load combination or foundation design.

Try the reasoning

  1. What happens to the vertical reactions when the same lateral force reverses?

    Show the answer and reasoning

    Its moment reverses: the reactions swap to 69 kN left and 51 kN right under the same centered gravity.

  2. Can a compression-only soil contact supply a negative upward reaction from an extrapolated formula?

    Show the answer and reasoning

    No. That would indicate lost contact in that model. Contact, restraint and equilibrium would need a revised analysis.

  3. Can equal total gravity loads create different bending demands?

    Show the answer and reasoning

    Yes. Distribution and position matter; a point load and a spread load with equal resultants need not produce the same internal-force diagrams.

What to carry forward

A useful load account preserves origin, units, geometry, simultaneity and the conditions that justify its time model.

References

Teaching resources and research supporting this lesson’s explanations and examples.

  1. Massachusetts Institute of Technology3 sources
    1. Engineering Mechanics for Structures, Chapter 2: Equilibrium (2004)Louis L. Bucciarelli · MIT 1.050Primary teaching or institutional technical source · PDFocw.mit.eduRead source
    2. Integration: Structure and Envelope, selected teaching slides (2004)MIT building-technology teaching staffPrimary teaching or institutional technical source · PDFocw.mit.eduRead source
    3. Lecture 17: Primary Loads (1995–1996), selected definitions and unitsChris H. Luebkeman and Donald Peting · MIT ArchitectonicsPrimary teaching or institutional technical sourceweb.mit.eduRead source