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, PB = 6.0 kN, PC = 3.0 kN, d = 85 mm, bf = 105 mm, tf = 5 mm, tw = 9 mm. Determine:Calculate the moment of inertia for entire cross-section about its z centroidal axis.Answer: Iz = (106) mm4Determine the maximum value of Q for the cross-section, where Q is the first moment of the area.Answer: Qmax = (103) mm3 Determine the maximum vertical shear stress.Answer: τmax= MPa At the location of the maximum positive moment, determine the maximum tension bending stress, σT+, and the maximum compression bending stress, σC+. Report the answers here using the correct signs according to the flexure formula (σC+ will be negative).Answers:σT+= MPaσC+ MPa At the location of the maximum negative moment, determine the maximum tension bending stress, σT-, and the maximum compression bending stress, σC-. Report the answers here using the correct signs according to the flexure formula (σC- will be negative). Report these stresses in units of MPa.Answers:σT-= MPaσT-= MPa Determine the maximum compression bending stress at any location along the beam. This is the compression bending stress with the largest magnitude. Report the answer as a negative value to be consistent with the sign convention for normal stresses.Answer: σC,max= MPa Determine the maximum tension bending stress at any location along the beam.Answer: σT,max= MPa bfPAadaPca

Given:Required:Moment of inertia about centroidal z axisMaximum value of first moment of…

Answered: A cantilever beam supports the loads…

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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Determine the maximum value of Q for the cross-section, where Q is the first moment of the area.

Answer: Q_max = (10³) mm³

Determine the maximum vertical shear stress.

Answer: τmax= MPa

At the location of the maximum positive moment, determine the maximum tension bending stress, σT+, and the maximum compression bending stress, σC+. Report the answers here using the correct signs according to the flexure formula (σC+ will be negative).

Answers:

σT+=	MPa
σC+	MPa

- At the location of the maximum negative moment, determine the maximum tension bending stress, σT-, and the maximum compression bending stress, σC-. Report the answers here using the correct signs according to the flexure formula (σC- will be negative). Report these stresses in units of MPa.
  
  Answers:
  
  σT-= MPa
  
  σT-= MPa

Determine the maximum compression bending stress at any location along the beam. This is the compression bending stress with the largest magnitude. Report the answer as a negative value to be consistent with the sign convention for normal stresses.

Answer: σC,max= MPa

Determine the maximum tension bending stress at any location along the beam.

Answer: σT,max= MPa

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