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Part 1 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown. Assume a = 0.4 m, PA= 2.0 kN, Pe= 6.0 kN, Pe- 2.5 kN, d = 115 mm, by= 85 mm, t;= 6 mm, tw= 10 mm. Determine (a) the maximum vertical shear stress. (b) the maximum compression bending stress. (c) the maximum tension bending stress. Pc See the coordinate system for the beam in the problem figure with the origin of the x axis at the fixed support. Consider four points along the beam's axis: Point A at x- 1.2m Point Bat x = 0.8 m Point Cat x= 0.4 m Point Dat x-0 Break the beam into three segments: AB, BC, and CD. Enter the shear force in each segment with its correct sign based on the coordinate system in the problem figure and the sign convention for shear forces in Chapter 7. Answers:

Part 1 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown. Assume a = 0.4 m, PA= 2.0 kN, Pe= 6.0 kN, Pe- 2.5 kN, d = 115 mm, by= 85 mm, t;= 6 mm, tw= 10 mm. Determine (a) the maximum vertical shear stress. (b) the maximum compression bending stress. (c) the maximum tension bending stress. Pc See the coordinate system for the beam in the problem figure with the origin of the x axis at the fixed support. Consider four points along the beam's axis: Point A at x- 1.2m Point Bat x = 0.8 m Point Cat x= 0.4 m Point Dat x-0 Break the beam into three segments: AB, BC, and CD. Enter the shear force in each segment with its correct sign based on the coordinate system in the problem figure and the sign convention for shear forces in Chapter 7. Answers:

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Part 1 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown. Assume a = 0.4m. PA= 2.0 kN, Pe= 6.0 kN, Pe- 2.5 kN, d = 115 mm, by= 85 mm, t,= 6 mm, tw= 10 mm. Determine (a) the maximum vertical shear stress. (b) the maximum compression bending stress. (c) the maximum tension bending stress. See the coordinate system for the beam in the problem figure with the origin of the x axis at the fixed support. Consider four points along the beam's axis: Point A at x- 1.2 m Point Bat x = 0.8 m Point Cat x = 0.4 m Point Dat x-0 Break the beam into three segments: AB, BC, and CD. Enter the shear force in each segment with its correct sign based on the coordinate system in the problem figure and the sign convention for shear forces in Chapter 7. Answers:
Transcribed Image Text:Part 1 A cantilever beam supports the loads shown. The cross-sectional dimensions of the shape are also shown. Assume a = 0.4m. PA= 2.0 kN, Pe= 6.0 kN, Pe- 2.5 kN, d = 115 mm, by= 85 mm, t,= 6 mm, tw= 10 mm. Determine (a) the maximum vertical shear stress. (b) the maximum compression bending stress. (c) the maximum tension bending stress. See the coordinate system for the beam in the problem figure with the origin of the x axis at the fixed support. Consider four points along the beam's axis: Point A at x- 1.2 m Point Bat x = 0.8 m Point Cat x = 0.4 m Point Dat x-0 Break the beam into three segments: AB, BC, and CD. Enter the shear force in each segment with its correct sign based on the coordinate system in the problem figure and the sign convention for shear forces in Chapter 7. Answers:
Enter the maximum shear force magnitude in the beam. Since this is a magnitude, enter a positive value. Answer: Vmax eTextbook and Media Save for Later Attempts: 0 of 5 used Submit Answer Part 3 Enter the bending moment at four critical x-locations: Mpis the moment at x-0 Mc is the moment at x = 0.4 m Mg is the moment at x- 0.8 m Ma is the moment at x- 1.2 m Enter each bending moment with its correct sign based on the coordinate system in the problem figure and the sign convention for bending moments presented in Chapter 7. Answers: MA kN-m kN-m Mc kN-m Mp- kN-m Part 5 Break the cross-sectional area into two areas: (1) Top horizontal flange with rectangular cross-section 85 mm x 6 mm. (2) Vertical stem with rectangular cross-section 10 mm x 109 mm. Find the areas and the centroid locations in the y-direction for each area. Enter the centroid locations, y; and y2, as measured with respect to a reference axis at the bottom of the cross-section. In other words, let y-0 at the bottom edge of the vertical stem. Answers: mm?, mm mm?. v2" mm eTextbook and Media
Transcribed Image Text:Enter the maximum shear force magnitude in the beam. Since this is a magnitude, enter a positive value. Answer: Vmax eTextbook and Media Save for Later Attempts: 0 of 5 used Submit Answer Part 3 Enter the bending moment at four critical x-locations: Mpis the moment at x-0 Mc is the moment at x = 0.4 m Mg is the moment at x- 0.8 m Ma is the moment at x- 1.2 m Enter each bending moment with its correct sign based on the coordinate system in the problem figure and the sign convention for bending moments presented in Chapter 7. Answers: MA kN-m kN-m Mc kN-m Mp- kN-m Part 5 Break the cross-sectional area into two areas: (1) Top horizontal flange with rectangular cross-section 85 mm x 6 mm. (2) Vertical stem with rectangular cross-section 10 mm x 109 mm. Find the areas and the centroid locations in the y-direction for each area. Enter the centroid locations, y; and y2, as measured with respect to a reference axis at the bottom of the cross-section. In other words, let y-0 at the bottom edge of the vertical stem. Answers: mm?, mm mm?. v2" mm eTextbook and Media
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