Static Equilibrium of Beam
Higher Certificate in Civil Engineering
Subject : Structural Analysis I - Laboratory Report
Laboratory Venue : HKIVE (Tsing Yi), Room CL02
Date & Time : 15 October 2001, 20:15 to 21:30
Experiment No. 2 : Static Equilibrium of Beam
Objective:
1. To study the vertical equilibrium of (a) a simply supported beam and (b) a two-span continuous beam when subjecting to loads.
2. To determine the reactions of the beams by (a) the experimental set-up and (b) by using the principles of static and method of consistent deformation.
Apparatus:
1. Tec Quipment SM104 Beam Apparatus- S/N: CNB0104C01, Supply No.:CNB0104
(Issuing Voucher: 0203141 & Inventory Ledger: CN/B/C1/04),
2. Measuring ruler,
3. Venier caliper.
Theory:
For a structure to be in equilibrium, all the forces and moments (including support reactions) acting on it must balance each other. When a plane structure is in equilibrium, any part of structure satisfies the three equilibrium equations. ΣX = 0, ΣY = 0, and ΣM = 0.
For a statically determinate structure, the above equations can be used to determine the support reactions and the internal forces of the structure.
On the other hand, for a statically determinate structure, the above equations plus the additional equations from the consistent deformation can be used to determine the support reactions and the internal forces of the structure.
Experimental Procedures:
Part 1: Simply Supported Beam (see Figure 1)
i) Set up the beam AC with a span of 675 mm.
ii) Placed two hangers equidistant (100 mm) from the mid-point of the beam.
iii) Unlocked the knife-edges of the load cells.
iv) Placed a dial gauge over the left-hand support A. Adjusted the dial gauge to read zero. Moved the same dial gauge to the top of support C, and then adjusted the height of the knife-edge so that the dial gauge read zero.
v) Removed the dial gauge.
vi) Applied loads as shown in Table 1 to the hangers.
vii) Recorded the readings of the load cells in
Subject : Structural Analysis I - Laboratory Report
Laboratory Venue : HKIVE (Tsing Yi), Room CL02
Date & Time : 15 October 2001, 20:15 to 21:30
Experiment No. 2 : Static Equilibrium of Beam
Objective:
1. To study the vertical equilibrium of (a) a simply supported beam and (b) a two-span continuous beam when subjecting to loads.
2. To determine the reactions of the beams by (a) the experimental set-up and (b) by using the principles of static and method of consistent deformation.
Apparatus:
1. Tec Quipment SM104 Beam Apparatus- S/N: CNB0104C01, Supply No.:CNB0104
(Issuing Voucher: 0203141 & Inventory Ledger: CN/B/C1/04),
2. Measuring ruler,
3. Venier caliper.
Theory:
For a structure to be in equilibrium, all the forces and moments (including support reactions) acting on it must balance each other. When a plane structure is in equilibrium, any part of structure satisfies the three equilibrium equations. ΣX = 0, ΣY = 0, and ΣM = 0.
For a statically determinate structure, the above equations can be used to determine the support reactions and the internal forces of the structure.
On the other hand, for a statically determinate structure, the above equations plus the additional equations from the consistent deformation can be used to determine the support reactions and the internal forces of the structure.
Experimental Procedures:
Part 1: Simply Supported Beam (see Figure 1)
i) Set up the beam AC with a span of 675 mm.
ii) Placed two hangers equidistant (100 mm) from the mid-point of the beam.
iii) Unlocked the knife-edges of the load cells.
iv) Placed a dial gauge over the left-hand support A. Adjusted the dial gauge to read zero. Moved the same dial gauge to the top of support C, and then adjusted the height of the knife-edge so that the dial gauge read zero.
v) Removed the dial gauge.
vi) Applied loads as shown in Table 1 to the hangers.
vii) Recorded the readings of the load cells in