Engineering Statics
Module code ME 121
Dr Riaz A Mufti
(B.Sc, M.Sc Eng (UK), PhD (UK), CEng (UK), MIMechE (UK), P.E (PEC))
Structural Analysis
Trusses, Method of Joints
and
Frames and Machines
Dr Riaz Mufti Engineering Statics
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Statics , One dimensional trusses, Study notes of Statics
Trusses In one dimensions, methods of joints
Typology: Study notes
2020/2021
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Engineering Statics
Module code ME 121 Dr Riaz A Mufti (B.Sc, M.Sc Eng (UK), PhD (UK), CEng (UK), MIMechE (UK), P.E (PEC)) Structural Analysis Trusses, Method of Joints and Frames and Machines Dr Riaz Mufti Engineering Statics
Joint-Welded (Gusset Plate) Member (Wooden Strut) Joint-Welded (Gusset Plate) Member (Wooden Strut)
When all members of a truss lie in a single plane, that truss is planar. A plane truss is rigid if it does not change shape when subjected to a general system of forces at it’s joints. The truss must maintain its shape and remain a rigid body when detached from it supports. The simplest stable or rigid form of a truss is a triangle, which is the basic truss element:
Truss/Frame/Machines Analysis External equilibrium (^) Internal equilibrium To find the reaction forces To find the force in each member Method of joints Method of sections
To analyze or design a truss, it is necessary to determine the force in each of its members. Method of joints or Method of sections. MOJ is based on the fact that if the entire truss is in equilibrium, then each of its joints is also in equilibrium. Therefore, if the FBD of each joint is drawn, the force equilibrium equations can then be used to obtain the member forces acting on each joint. ƩF x = 0 and ƩF y
No more than two unknown forces at the joint and at least one known force acting there.
- Draw the free-body diagram of a joint having at least
one known force and at most two unknown forces. (If
this joint is at one of the supports, then it may be
necessary first to calculate the external reactions at the
support.)
- Use one of the two methods described above for
establishing the sense of an unknown force.
- Orient the x and y axes such that the forces on the free-
body diagram can be easily resolved into their x and y
components and then apply the two force equilibrium
equations. Solve for the two unknown member forces
and verify their correct sense
- Using the calculated results, continue to analyze each of
the other joints. Remember that a member in
compression “pushes” on the joint and a member in
tension “pulls” on the joint.Also, be sure to choose a
joint having at most two unknowns and at least one
known force.
Problem: Determine the force in each member of the truss shown in Fig. and indicate whether the members are in tension or compression.
Solution: Joint B Joint C
Problem: Determine the force in each member of the truss in Fig. and indicate if the members are in tension or compression
Solution: Joint C