SME
College · Engineering
Structural Analysis
5 topics
Civil
Before this course
Topics
Determinate structures
Main lesson
Shear and moment of a uniform load
Use this for “A 10 m simply supported beam carries 12 kN/m along its length. Find the reactions, the largest shear and the largest moment.”
A cantilever: the wall’s shear and moment
Use this for “A 3 m cantilever carries 10 kN at its tip and 4 kN/m along it. Find the shear and moment at the wall.”
Truss member force by the method of sections
Use this for “A six-panel Pratt truss, 3 m panels and 3 m deep, carries 10 kN at each inner joint. Find the chord force at midspan.”
Determinate, indeterminate or unstable
Use this for “A six-panel Pratt truss sits on a pin and a roller. Is it statically determinate?”
Influence lines
Main lesson
Influence line for the shear at a section
Use this for “A 10 m simple span: what largest positive and negative shears can a 50 kN moving load cause 4 m from A?”
Where to put live load on a continuous beam
Use this for “Three equal 5 m spans: where should 12 kN/m of live load go for the most moment at the middle of span 2?”
Indeterminate structures
Main lesson
Fixed-end moments
Use this for “A 6 m beam fixed at both ends carries 30 kN at midspan and 10 kN/m. Find the fixed-end moments.”
Two-span continuous beam by moment distribution
Use this for “Two spans of 6 m and 4 m, pinned at the far ends, carry 12 kN/m. Find the moment over the middle support.”
Matrix methods
Deflections
Main lesson
Deflection under an off-centre point load
Use this for “A 5 m simply supported steel beam (I = 30 × 10⁶ mm⁴) carries 15 kN 1.5 m from one end. How far does it sag under the load and at midspan?”
Cantilever tip deflection, load part-way along
Use this for “A 3 m steel cantilever (I = 40 × 10⁶ mm⁴) carries 25 kN 2 m from the wall. How far does the free end drop?”
Course test
See what you know: 10 questions on this course
New questions each time. Pass to mark it complete.