Due to a typhoon, a streetlamp lost considerable rotational support at its base. Fortunately, a bracket was put in place to act as additional support preventing the collapse of the structure. The system is modelled simply with an L-structure RUZ, which is pin-supported at Z. The bracket, with unknown orientation, is represented by a bar that is pin-connected at S and pin-supported at W. The 100-N weight of the lamp is applied at R. Furthermore, suppose for this analysis, the 50 kN weight of the lamp post is placed at S (in your computations, consider the 50 kN force to act at RUZ). 100 N R 50 kN a' 0.9m ZO Im W 0.85m 1.4m Figure 2: Detailing of the Pin Support at W 0.2m Figure 1: Representation of the Lamp Post with Bracket 1) [20%] Determine the support reactions at Z and W. 2) [20%] Determine the internal force of member SW. 3) [20%] Determine the internal forces on section a-a'. 4) [20%] Supposed the detailing of support W is given as shown above, and the material used for bar SW and the bolt at W have the following ultimate stresses: Bar SW ultimate normal stress: σ₁ = 175 MPa Bar SW ultimate bearing stress: bu = 350 MPa Bolt W ultimate shearing stress: T₁ = 100 MPa Providing a factor of safety of 2.5 and considering that bar SW is 25 mm thick, determine the following (round off your answers to the nearest 1 mm): a) Diameter d₂ of bolt W. b) dimensions b and h of bar SW. 5) [20%] Suppose a very small segment with length AL along the midpoint of bar SW is to be analyzed. Consider linear-elastic behavior, Young's modulus of 200 GPa, and a shear modulus of 78 GPa. What is the deformation in terms of AL? B
Due to a typhoon, a streetlamp lost considerable rotational support at its base. Fortunately, a bracket was put in place to act as additional support preventing the collapse of the structure. The system is modelled simply with an L-structure RUZ, which is pin-supported at Z. The bracket, with unknown orientation, is represented by a bar that is pin-connected at S and pin-supported at W. The 100-N weight of the lamp is applied at R. Furthermore, suppose for this analysis, the 50 kN weight of the lamp post is placed at S (in your computations, consider the 50 kN force to act at RUZ). 100 N R 50 kN a' 0.9m ZO Im W 0.85m 1.4m Figure 2: Detailing of the Pin Support at W 0.2m Figure 1: Representation of the Lamp Post with Bracket 1) [20%] Determine the support reactions at Z and W. 2) [20%] Determine the internal force of member SW. 3) [20%] Determine the internal forces on section a-a'. 4) [20%] Supposed the detailing of support W is given as shown above, and the material used for bar SW and the bolt at W have the following ultimate stresses: Bar SW ultimate normal stress: σ₁ = 175 MPa Bar SW ultimate bearing stress: bu = 350 MPa Bolt W ultimate shearing stress: T₁ = 100 MPa Providing a factor of safety of 2.5 and considering that bar SW is 25 mm thick, determine the following (round off your answers to the nearest 1 mm): a) Diameter d₂ of bolt W. b) dimensions b and h of bar SW. 5) [20%] Suppose a very small segment with length AL along the midpoint of bar SW is to be analyzed. Consider linear-elastic behavior, Young's modulus of 200 GPa, and a shear modulus of 78 GPa. What is the deformation in terms of AL? B
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please help me with my homework
![Due to a typhoon, a streetlamp lost considerable rotational support at its base. Fortunately, a bracket was put in
place to act as additional support preventing the collapse of the structure.
The system is modelled simply with an L-structure RUZ, which is pin-supported at Z. The bracket, with unknown
orientation, is represented by a bar that is pin-connected at S and pin-supported at W. The 100-N weight of the
lamp is applied at R. Furthermore, suppose for this analysis, the 50 kN weight of the lamp post is placed at S (in
your computations, consider the 50 kN force to act at RUZ).
100 N
R
50 kN
a'
0.9m
ZO
Im
W
0.85m
1.4m
Figure 2: Detailing of the Pin Support at W
0.2m
Figure 1: Representation of the
Lamp Post with Bracket
1) [20%] Determine the support reactions at Z and W.
2) [20%] Determine the internal force of member SW.
3) [20%] Determine the internal forces on section a-a'.
4) [20%] Supposed the detailing of support W is given as shown above, and the material used for bar SW and
the bolt at W have the following ultimate stresses:
Bar SW ultimate normal stress: σ₁ = 175 MPa
Bar SW ultimate bearing stress: bu = 350 MPa
Bolt W ultimate shearing stress: T₁ = 100 MPa
Providing a factor of safety of 2.5 and considering that bar SW is 25 mm thick, determine the following
(round off your answers to the nearest 1 mm):
a) Diameter d₂ of bolt W.
b) dimensions b and h of bar SW.
5) [20%] Suppose a very small segment with length AL along the midpoint of bar SW is to be analyzed. Consider
linear-elastic behavior, Young's modulus of 200 GPa, and a shear modulus of 78 GPa. What is the
deformation in terms of AL?
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23067924-0c25-4da4-bd00-385725079ded%2Fd334e57a-9539-48db-8038-4d632cb3bd17%2Fsaezakj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Due to a typhoon, a streetlamp lost considerable rotational support at its base. Fortunately, a bracket was put in
place to act as additional support preventing the collapse of the structure.
The system is modelled simply with an L-structure RUZ, which is pin-supported at Z. The bracket, with unknown
orientation, is represented by a bar that is pin-connected at S and pin-supported at W. The 100-N weight of the
lamp is applied at R. Furthermore, suppose for this analysis, the 50 kN weight of the lamp post is placed at S (in
your computations, consider the 50 kN force to act at RUZ).
100 N
R
50 kN
a'
0.9m
ZO
Im
W
0.85m
1.4m
Figure 2: Detailing of the Pin Support at W
0.2m
Figure 1: Representation of the
Lamp Post with Bracket
1) [20%] Determine the support reactions at Z and W.
2) [20%] Determine the internal force of member SW.
3) [20%] Determine the internal forces on section a-a'.
4) [20%] Supposed the detailing of support W is given as shown above, and the material used for bar SW and
the bolt at W have the following ultimate stresses:
Bar SW ultimate normal stress: σ₁ = 175 MPa
Bar SW ultimate bearing stress: bu = 350 MPa
Bolt W ultimate shearing stress: T₁ = 100 MPa
Providing a factor of safety of 2.5 and considering that bar SW is 25 mm thick, determine the following
(round off your answers to the nearest 1 mm):
a) Diameter d₂ of bolt W.
b) dimensions b and h of bar SW.
5) [20%] Suppose a very small segment with length AL along the midpoint of bar SW is to be analyzed. Consider
linear-elastic behavior, Young's modulus of 200 GPa, and a shear modulus of 78 GPa. What is the
deformation in terms of AL?
B
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning