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A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N?
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A gusset plate of thickness 6 mm is fastened to a permanent member usi...
**Given:**
- Thickness of gusset plate (t) = 6 mm = 0.006 m
- Diameter of bolt (d) = 10 mm = 0.01 m
- Allowable bearing stress of bolt (σb) = 10 MPa = 10 × 10^6 N/m^2
- Allowable bearing stress of plate (σp) = 6 MPa = 6 × 10^6 N/m^2
**To find:**
The maximum allowable load for the bolt-plate assembly
**Assumptions:**
- The load is evenly distributed over the entire area of the gusset plate.
**Solution:**
1. Area of the bolt (Ab) = π/4 × d^2
= π/4 × (0.01)^2
= 0.00007854 m^2
2. Area of the gusset plate (Ap) = t × (d + t)
= 0.006 × (0.01 + 0.006)
= 0.000102 m^2
3. The maximum allowable load for the bolt-plate assembly can be determined by the smaller of the two allowable bearing stresses multiplied by the respective areas.
4. Maximum allowable load for the bolt (Pb) = σb × Ab
= 10 × 10^6 × 0.00007854
= 785.4 N
5. Maximum allowable load for the plate (Pp) = σp × Ap
= 6 × 10^6 × 0.000102
= 612 N
6. The maximum allowable load for the bolt-plate assembly is the smaller of Pb and Pp.
Therefore, the maximum allowable load for the bolt-plate assembly = 612 N
**Answer:**
The maximum allowable load for the bolt-plate assembly is 612 N. Therefore, the correct option is D. 600 N.
- Thickness of gusset plate (t) = 6 mm = 0.006 m
- Diameter of bolt (d) = 10 mm = 0.01 m
- Allowable bearing stress of bolt (σb) = 10 MPa = 10 × 10^6 N/m^2
- Allowable bearing stress of plate (σp) = 6 MPa = 6 × 10^6 N/m^2
**To find:**
The maximum allowable load for the bolt-plate assembly
**Assumptions:**
- The load is evenly distributed over the entire area of the gusset plate.
**Solution:**
1. Area of the bolt (Ab) = π/4 × d^2
= π/4 × (0.01)^2
= 0.00007854 m^2
2. Area of the gusset plate (Ap) = t × (d + t)
= 0.006 × (0.01 + 0.006)
= 0.000102 m^2
3. The maximum allowable load for the bolt-plate assembly can be determined by the smaller of the two allowable bearing stresses multiplied by the respective areas.
4. Maximum allowable load for the bolt (Pb) = σb × Ab
= 10 × 10^6 × 0.00007854
= 785.4 N
5. Maximum allowable load for the plate (Pp) = σp × Ap
= 6 × 10^6 × 0.000102
= 612 N
6. The maximum allowable load for the bolt-plate assembly is the smaller of Pb and Pp.
Therefore, the maximum allowable load for the bolt-plate assembly = 612 N
**Answer:**
The maximum allowable load for the bolt-plate assembly is 612 N. Therefore, the correct option is D. 600 N.
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A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N?
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A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N?.
A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N?.
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A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N?, a detailed solution for A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N? has been provided alongside types of A gusset plate of thickness 6 mm is fastened to a permanent member using a bolt of diameter 10 mm. If the allowable bearing stresses of the bolt and the plate are 10 and 6 MPa, respectively, the maximum allowable load for the bolt-plate assembly is: A. 1000 N B.216N C.360 N D. 600 N? theory, EduRev gives you an
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