Problem 2 Design of Shear Members A cantilever beam has a span of 3 m. The beam carries a uniform service load w = 22 kN/m includes the weight of the beam. There is no lateral support other than that at the fixed end. Properties of W 10 x 77 1.5 m. A = 14581 mm² P d = 269.24 mm b = 258.83 mm t = 22.10 mm. tw= 13.46 mm Sx 1408 x 10³ mm³ Zx = 1599 x 103 mm- 3 w = 22 kN/m 3 m. Lp L 2.799 m 13.811 m 3 m Lb = Fy = 345 MPa K= 38.10 mm. E = 200,000 MPa K= 38.1 d=269.24 (K = 38.1 258.83 22.10 h 22.10 a. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. b. Determine the value if the service load P due to the max. shear strength of the beam using LRFD. c. Determine the value of the service load P due to the flexural strength of the beam using LRFD. d. Determine the value of the service load P due to the allowable bending strength of the beam using ASD.

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System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.