LAB# 4.2 UDL (Report)New

LAB 4.2 Determininigthe deflection of simply supported beam, subjected to a point load and a uniformly distributed load (UDL). INTRODUCTION Beam are the most common structural elements and carry loads by developing shear forces and bending moments along their length. A beam tht is supported by a pinned support and a roller support is called simply supported beam. Examples of simply supported beams include beam bridges,truss bridges, gangways, etc. OBJECTIVE OF EXPERIMENT 1. To determine the maximum deflection at mid span for beam subjected to an increasing point load and uniformly distributed loads. 2. To study the relationship between loads and deflection on the simply supported beam. APPARATUS 1. Simply supported beam. 2. Dial gauge. 3. Loads. 4. Ruler. THEORY PART 1: POINT LOAD AT MID SPAN Maximum deflection at mid span,

= WL3 48EL

PART 2:UNIFORMLY DISTRIBUTED LOAD Maximum deflection at mid span,

=5WL3 384EI

PROCEDURE PART 1: POINT LOADS 1. The dimension (L,b and d) of simply supported beam was measured and record it in table 1. 2. The second moment of area was calculated by using equation Ixx=bd3/12. 3. Dial gauge at both end span (x mm from supports) and at mid span of beam (L/2) was set up. 4. Loads at mid span was applied and the dial gauges reading was recorded. 5. The procedure by increase the load was repeated. PART 2: UNIFORMLY DISTRIBUTED LOAD (UDL) 1. The step No. 3 for case 1 was repeated. 2. The loads along support to support (span L) was applied and The dial gauges reading was recorded. 3. The procedure by increasing the loads was repeated due to the result table. DISCUSSIONS 1. Plot a graph of load vs. displacement for each result. Discuss on your graph. 2. Calculate the beam Youngs Modulus from the plotted graph. 3. Compare your experimental results with the theoretical results. CONCLUSIONS

LAB#2.3 DETERMINING YOUNG MODULUS OF THE GIVEN BEAM MATERIAL BY CONDUCTING DEFLECTION TEST ON CANTILEVER BEAM OBJECTIVE OF EXPERIMENT To determine Youngs Modulus (Modulus of Electricity) of the given beam material by conducitng deflection test on cantilever beam. And hence to find the Shear Modulus (Modulus of Rigidity) or Poisson ratio, if one of them is given. APPARATUS Dial gauge with magnetic base, vernier calipers, scale and slotted weights. PROCEDURE 1. The points of load application and deflection measurement was decided and L and a with the scale was measured. 2. The cross sectional dimensions, b and d of the beam with vernier calipers was measured. 3. The dial gauge D at the deflection measuring point was set up and set it to zero reading. 4. The load was applied and the corresponding dial gauge reading was noted. 5. The load in suitable steps was increased and the corresponding dial gauge reading at each step was noted (at least six load increments). 6. The dial gauge reading was noted in the decending order of the loads as well and tabulate the observations as shown in Table 1. 7. The graph between the applied load W on the Y-axis and deflection, d on the X-axis was ploted. DISCUSSIONS Discuss your observations.