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W310X60 BEAM IN BOTH PROBLEMS 1 and 3 d = 302 mm bf = 203 mm tf = 13.1 mm tw = 7.49 mm Ixx = 128 x 10^6 mm^4 Problem 1. (36 points)The simply supported wide flange I beam W310X60 is loaded as shown with a distributed load of ? = 8 kN/m. (a) Determine the reactions at supports. (b) Using the technique of cutting the beam at distance x from the left-hand end derive the equations for internal shear V and internal moment M as functions of x (show the fbd for each cut) (c) Sketch the shear and bending moment diagrams showing key values and the shape of the curve between points on the beam. (d) Locate the largest moment M and calculate the maximum bending stress. (e) Locate the location of the largest shear force V and calculate the maximum shear stress using both the ? = VQ/It and ? = V/Aweb techniques

          W310X60 BEAM IN BOTH PROBLEMS 1 and 3

d = 302 mm
bf = 203 mm
tf = 13.1 mm
tw = 7.49 mm
Ixx = 128 x 10^6 mm^4

Problem 1. (36 points)The simply supported wide flange I beam W310X60 is loaded as shown with a distributed load of ? = 8 kN/m.

(a) Determine the reactions at supports.
(b) Using the technique of cutting the beam at distance x from the left-hand end derive the equations for internal shear V and internal moment M as functions of x (show the fbd for each cut)
(c) Sketch the shear and bending moment diagrams showing key values and the shape of the curve between points on the beam.
(d) Locate the largest moment M and calculate the maximum bending stress.
(e) Locate the location of the largest shear force V and calculate the maximum shear stress using both the ? = VQ/It and ? = V/Aweb techniques

W310X60 BEAM IN BOTH PROBLEMS 1 and 3

d = 302 mm
bf = 203 mm
tf = 13.1 mm
tw = 7.49 mm
Ixx = 128 x 10^6 mm^4

Problem 1. (36 points)The simply supported wide flange I beam W310X60 is loaded as shown with a distributed load of ? = 8 kN/m.

(a) Determine the reactions at supports.
(b) Using the technique of cutting the beam at distance x from the left-hand end derive the equations for internal shear V and internal moment M as functions of x (show the fbd for each cut)
(c) Sketch the shear and bending moment diagrams showing key values and the shape of the curve between points on the beam.
(d) Locate the largest moment M and calculate the maximum bending stress.
(e) Locate the location of the largest shear force V and calculate the maximum shear stress using both the ? = VQ/It and ? = V/Aweb techniques

Added by Nerea N.

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