Why This Matters
Every structure you'll analyze in Statics and Strength of Materials must resist multiple types of loads at the same time. Understanding why each load behaves differently is the key to solving problems correctly. You need to classify loads by their behavior (static vs. dynamic, permanent vs. temporary), determine how they create internal stresses, and apply the right analysis method for each situation.
The loads covered here connect directly to equilibrium equations, stress-strain relationships, factor of safety calculations, and combined loading scenarios. When an exam problem describes a bridge deck, a retaining wall, or a building frame, your first job is identifying which loads apply and how they act on the structure. Know whether a load is gravity-driven or pressure-driven, static or time-varying, and distributed or concentrated. That conceptual understanding will carry you through free-response and design problems.
Gravity-Driven Loads
These loads act vertically downward due to the weight of objects. The key distinction is whether the load is permanent and predictable or variable and uncertain, because that determines your safety factors and load combinations.
Dead Loads
- Permanent self-weight of the structure: beams, columns, walls, floors, and any fixed equipment that won't move over the structure's lifetime
- Calculated from material density and geometry using W=ฮณโ
V, where ฮณ is the unit weight (weight per unit volume) and V is the volume of the member
- Most predictable load type, which is why dead loads typically carry lower safety factors than variable loads in design codes (e.g., a load factor of 1.2 for dead load vs. 1.6 for live load in LRFD)
Live Loads
- Temporary, movable loads from occupants, furniture, vehicles, and stored materials. Anything that can change position or magnitude counts.
- Building codes specify minimum values based on occupancy type. For example, ASCE 7 prescribes 50 psf for offices, 100 psf for assembly halls, and 125+ psf for heavy storage warehouses.
- You must consider worst-case positioning for maximum moment and shear calculations, especially on continuous beams where placing live load on alternating spans can produce the largest effects.
Snow Loads
- Accumulated snow and ice on roofs, varying dramatically with geographic location, elevation, and local climate
- Roof geometry matters: flat roofs accumulate more snow, while steep slopes allow sliding. Drift loads can concentrate near parapets and valleys, sometimes exceeding the uniform snow load by a large margin.
- Ground snow load is converted to roof load using exposure, thermal, and importance factors specified in codes like ASCE 7
Compare: Dead loads vs. live loads: both act vertically downward, but dead loads are constant while live loads vary in magnitude and position. If a problem asks you to find the "maximum bending moment," you'll need to position live loads strategically while dead loads stay fixed across all load cases.
Lateral and Environmental Loads
These loads act horizontally or at angles, creating overturning moments, shear forces, and stability challenges that gravity loads alone don't produce. Dynamic behavior often governs the analysis.
Wind Loads
- Pressure from moving air acting perpendicular to surfaces, creating both positive pressure on the windward face and negative pressure (suction) on the leeward face
- Increases with height and exposure: taller buildings and open terrain experience higher wind pressures. The velocity pressure profile follows a power-law or logarithmic relationship with height.
- Causes lateral sway and overturning that must be resisted by bracing, shear walls, or moment frames. A simplified form of the pressure equation is p=21โฯv2Cdโ, where ฯ is air density, v is wind speed, and Cdโ is a drag coefficient that depends on building shape.
Earthquake Loads
- Inertial forces from ground acceleration during seismic events. The structure's own mass creates horizontal forces when the ground moves beneath it. This is a direct application of Newton's second law: F=ma.
- Requires dynamic analysis because the structural response depends on the building's natural frequency, damping ratio, and the frequency content of the ground motion. Resonance (when ground motion frequency matches the structure's natural frequency) greatly amplifies forces.
- Base shear is distributed up the height of the building, with larger forces at upper floors. Ductile design allows controlled yielding to dissipate energy rather than causing brittle failure.
Compare: Wind loads vs. earthquake loads: both create lateral forces, but wind is an external pressure applied to surfaces while seismic loads are inertial forces generated by the structure's own mass. Wind loads increase with exposed surface area; earthquake loads increase with mass. This distinction changes your entire analysis approach. A lightweight, large-surface building is wind-sensitive; a heavy, compact building is earthquake-sensitive.
Pressure-Induced Loads
These loads result from contact with soil, water, or other materials that exert pressure on structural surfaces. The pressure typically varies with depth, so you'll need integration (or pressure diagram geometry) to find resultant forces and their points of application.
Soil Pressure Loads
- Lateral earth pressure on retaining walls and basements, calculated using Rankine or Coulomb theories based on soil properties and wall movement
- Pressure increases linearly with depth as p=Kฮณz, where K is the lateral earth pressure coefficient, ฮณ is the soil unit weight, and z is the depth below the surface
- Active, passive, and at-rest conditions depend on wall movement. If the wall moves away from the soil, pressure drops to the active condition (minimum). If the wall pushes into the soil, pressure rises to the passive condition (maximum). If the wall doesn't move, you use the at-rest coefficient.
Fluid Pressure Loads
- Hydrostatic pressure from liquids acting on dams, tanks, and submerged structures, always directed perpendicular to the surface
- Pressure varies linearly with depth following p=ฯgh, where ฯ is the fluid density, g is gravitational acceleration, and h is the depth below the free surface. This creates a triangular pressure distribution on vertical surfaces.
- The resultant force acts at the centroid of the pressure diagram. For a triangular distribution on a vertical surface, that's at h/3 from the base (or equivalently, 2h/3 from the free surface).
Compare: Soil pressure vs. fluid pressure: both increase with depth and create triangular distributions on vertical surfaces, but soil pressure includes a coefficient K that accounts for soil-structure interaction and can range from roughly 0.3 (active) to 3.0+ (passive). Fluids always transmit full pressure (effectively K=1), making hydrostatic calculations more straightforward.
Dynamic and Time-Varying Loads
These loads change rapidly with time, requiring consideration of inertial effects, stress concentrations, and fatigue. Static equilibrium equations alone won't capture the full structural response.
Impact Loads
- Sudden, short-duration forces from collisions, falling objects, or rapidly applied weights. Think of a vehicle crashing into a barrier or a heavy piece of equipment being dropped onto a floor.
- Dynamic amplification factor (DAF) accounts for the fact that a suddenly applied load produces internal stresses greater than the same load applied gradually. For a load suddenly applied (but not dropped), the DAF can be as high as 2.0, meaning the effective stress is double the static value.
- Impulse-momentum analysis relates the change in momentum to the average force over the contact duration: Favgโโ
ฮt=mโ
ฮv. A shorter contact time means a larger average force.
Thermal Loads
Thermal loads are different from most other loads because no external force is applied. Instead, stresses arise internally when temperature-induced deformation is restrained.
- Thermal strain is ฯตTโ=ฮฑฮT, where ฮฑ is the coefficient of thermal expansion and ฮT is the temperature change. If the member is free to expand, no stress develops.
- If the member is constrained (e.g., fixed at both ends), the restrained expansion produces stress: ฯ=EฮฑฮT, where E is the modulus of elasticity.
- Expansion joints and flexible connections are design solutions that accommodate movement and prevent thermal stress buildup. You'll see these in bridges, pipelines, and long buildings.
Compare: Impact loads vs. thermal loads: both are time-varying, but impact loads are externally applied forces while thermal loads are internally generated stresses from restrained deformation. Impact loads require dynamic analysis; thermal loads can often be treated as static if temperature changes occur slowly.
Construction-Phase Loads
These temporary loads exist only during building erection but can be critical for preventing failures before the structure reaches its final, fully-braced configuration.
Construction Loads
- Temporary loads from equipment, materials, and workers during the building process: cranes, concrete formwork, material stockpiles, and construction crews
- Partial structures lack full lateral bracing, making them more vulnerable to wind and instability than the completed building. A steel frame with only half its connections made has far less capacity than the finished structure.
- Sequencing and shoring requirements must be specified to ensure each construction stage can safely support the loads present at that time
Compare: Construction loads vs. live loads: both are temporary and variable, but construction loads occur on incomplete structures with reduced capacity, while live loads act on finished structures designed to their full strength. Many real-world construction failures result from underestimating loads on partially complete frames.
Quick Reference Table
|
| Permanent gravity loads | Dead loads |
| Variable gravity loads | Live loads, snow loads |
| Lateral environmental loads | Wind loads, earthquake loads |
| Pressure from contact materials | Soil pressure, fluid pressure |
| Dynamic/time-varying loads | Impact loads, earthquake loads |
| Internally generated stresses | Thermal loads |
| Temporary/construction phase | Construction loads |
| Requires dynamic analysis | Earthquake loads, impact loads |
Self-Check Questions
-
A warehouse stores heavy pallets that are regularly moved by forklifts. Which two load types must be considered for floor design, and why does one require more conservative safety factors than the other?
-
Both wind and earthquake loads act laterally on a building frame. Explain why doubling the building's mass would increase earthquake forces but have no direct effect on wind forces.
-
A retaining wall holds back 3 meters of saturated soil. Compare and contrast how you would calculate the pressure from the soil versus the pressure from groundwater behind the wall.
-
A steel bridge girder experiences daily temperature swings of 40ยฐC. If the girder is fixed at both ends, what type of load develops, and what formula relates temperature change to stress?
-
Rank the following loads from most predictable to least predictable, and explain your reasoning: dead load, live load, earthquake load, snow load.