Problem For the frame shown, design the maximum permissible value of P with a factor of safety of 2.5. Design the maximum permissible value of P based on the following conditions: ✓ Ultimate tensile strength of each member CD is 300 ksi ✓ Ultimate shear strength of the bolts in A, C, E, and F is 200 ksi Ultimate bearing strength of member BDE is 150 ksi Ultimate bearing strength of the support plates is 250 ksi Members CD and BDE have cross-sectional dimensions of 5 in x 3 in (the larger dimension is the width). The diameters of the bolts are as follows: A and B-1.5 in; C and D-2 in: E and F-1 in. 1.5 l thick Support Plates -2 ft 3 ft D B -2 ft- 2 in ck Support Mate E -2 ft CD has 2 members. One on each siche

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Chapter5: Beams
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For the frame shown, design the maximum permissible value of P with a factor of safety of 2.5.
Design the maximum permissible value of P based on the following conditions:
✓ Ultimate tensile strength of each member CD is 300 ksi
Ultimate shear strength of the bolts in A, C, E, and F is 200 ksi
✓ Ultimate bearing strength of member BDE is 150 ksi
✓ Ultimate bearing strength of the support plates is 250 ksi
Members CD and BDE have cross-sectional dimensions of 5 in x 3 in (the larger dimension is
the width). The diameters of the bolts are as follows:
A and B - 1.5 in: C and D-2 in E and F - 1 in.
1.5 in. thick
Support
Plates
-2 ft
+
D
3 ft
B
2 in thick Support Mate
Solution
Step 1. Identify the conditions for design.
Stress
normal stress in each member CD, OCD
shear stress in bolt A, TA
shear stress in bolt C, T
shear stress in bolt E, T
shear stress in bolt F, T
bearing stress on member BDE due to:
bolt B, BDE-B
bolt D, OBDE-D
bolt E, OBDE-E
bearing stress on support plates at A, %A
bearing stress on support plate at B, B
-2 ft-
+
。
E
-2 ft
-CD has 2 members.
One on each side
Allowable maximum value
Transcribed Image Text:Problem For the frame shown, design the maximum permissible value of P with a factor of safety of 2.5. Design the maximum permissible value of P based on the following conditions: ✓ Ultimate tensile strength of each member CD is 300 ksi Ultimate shear strength of the bolts in A, C, E, and F is 200 ksi ✓ Ultimate bearing strength of member BDE is 150 ksi ✓ Ultimate bearing strength of the support plates is 250 ksi Members CD and BDE have cross-sectional dimensions of 5 in x 3 in (the larger dimension is the width). The diameters of the bolts are as follows: A and B - 1.5 in: C and D-2 in E and F - 1 in. 1.5 in. thick Support Plates -2 ft + D 3 ft B 2 in thick Support Mate Solution Step 1. Identify the conditions for design. Stress normal stress in each member CD, OCD shear stress in bolt A, TA shear stress in bolt C, T shear stress in bolt E, T shear stress in bolt F, T bearing stress on member BDE due to: bolt B, BDE-B bolt D, OBDE-D bolt E, OBDE-E bearing stress on support plates at A, %A bearing stress on support plate at B, B -2 ft- + 。 E -2 ft -CD has 2 members. One on each side Allowable maximum value
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