Shear Force In Beam Experiment Report

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Shearing force in beams Introduction: When a beam is loaded the forces cause the beam to bend and to undergo vertical displacement. These effects are due to vertical component of forces acting perpendicular to the longitudinal axis of the beam. The vertical displacement tends to shear the beam. Shear means relative movement between two parts of a structural member. Any beam must be designed in such a way that it can resist shear and bending. In this experiment we shall analyse the shearing force in a beam. Theory: In this experiment a horizontal beam has been actually cut into two parts (A) and (B) by a vertical cross section, and is then held together with springs (or spring balances) which must produce a system of forces equivalent to…show more content…
According to the following drawings, the calculation for the shear force and the shear force diagram is drawn for the different parts of the experiment. PART 1 At W1= 10N ∑ Fy =0 R1 + R2 = 10 Taking moment about Left support, ∑ M = 0 10 × 60 = R2 × 90 R2 = 6.67 N R1 = 3.33 N | At W2=10N ∑ Fy =0 R1 + R2 = 10 Taking moment about Left support, ∑ M = 0 10 × 15 = R2 × 90 R2 = 1.67 N R1 = 8.33 N | ∑ Fy =0 R1 + R2 = 10 Taking moment about Left support, ∑ M = 0 10 × 31 = R2 × 90 R2 = 3.44 N R1 = 6.56 N | At W3=10N Note that the distance between the left support and the weight was assumed to be 31cm (instead of 30cm) in order to increase accuracy in the calculation. At W4=10N ∑ Fy =0 R1 + R2 = 10 Taking moment about Left support, ∑ M = 0 10 × 29 = R2 × 90 R2 = 3.22 N R1 = 6.78 N

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