Question

Draw shear diagram for the first two loads.

the meter is only ±0.1N, lightly tap the frame (there may be a little 'stiction') Experiment 1: Shear Force Variation with an Increasing Point Load This experiment examines how shear force varies with an increasing point load. Figure 3 shows the force diagram for the beam. Draw the shear diagram for the first load case (W 0.98 N) 40 mm Cut V (N) o Figure 3 Force Diagram aton we will use in this experiment (when there is only one load) is: Wa 260mm Shear force at cut, SeT Where a is the distance to the load (not the cut), a 260 mm. Note that this equation in only applicable when there is one load. Multiple loads require a shear diagram to determine the theoretical shear force 1. Check the Digital Force Display meter reads zero with no load. 2. Place a hanger with 100 g mass to the left of the 'cut' (40 mm away). 3. Record the Digital Force Display reading in a table as in Table 2. 4. Repeat using masses of 200 g.300 g, 400 g, and 500 g. 5. Convert the masses into a load (in N) Remember, Shear force at the cut displayed force 6. 7. Calculate the theoretical shear force at the cut and complete the table. Plot a graph which compares your experimental results to those you calculated using the theory. Load Experimental Shear Theoretical Shear Mass force (N) Force (N) 100 0.98 200 1.96 300 2.94 400 3.92 2 500 4.90 Toble 2 Results for Experiment 1 (graph both theoretical and experimental results on the same chart) ows the Shear Force in a Beam experiment. It consists of a beam which is 'cut'. To stop the beam collapsing a mechanism, (which allows movement in the shear direction only) bridges the cut on to a load cell thus reacting (and measuring) the shear force. A digital display shows the force from the load cell. A diagram on the right-hand support of the beam shows the beam geometry and hanger positions. Hanger supports are 20 mm apart, and have a central groove which positions the hangers How to Setup the Equipment Securing Rolling Harger and masses Beam The Shear Force in a Beam experiment fits into a test frame. Figure 2 shows the Shear Force of a Beam experiment assembled in the frame. NEVER apply excessive loads to any part of the equipment

Answer 1

Given data a = 260mm Cut short length, 40mm Consider the diagram of the beam Figure.1 The theoretical formula to evaluate shear force is given as Sc = Wa For the first load, W-0.98 N 0.65 = 0.98 * 260 1 = 392 mm Now the shear foroe diagram for the first load (W 0.98 N) is given as

260 (mm) 132 (mm) 2 sec. (X2) 0.33 -0.65 Figure.2 Now the shear force diagram for the first load (W 1.96 N) is given as 132 (mm) sec 0.66 1.30 Figure.3