The beam shown below is a simple span with an overhang. The beam supports a uniform distributed load. 0.5 kip/ft 16 ft 5 ft 1. Draw a free body diagram (FBD) of the beam and write the equations of equilibrium to solve for the support reactions. You do not have to include the horizontal reaction at A. Answer: R₁=3.61 kip ↑, RB 6.89 kip ↑ 2. Draw an FBD of the beam showing the loads and the known magnitude and direction of the support reactions. 3. Draw the shear diagram for the beam. 4. Draw the bending moment diagram for the beam. 5. At what location along the beam does the maximum positive bending moment occur? 6. At what location along the beam does the maximum negative bending moment occur?

The beam shown below is a simple span with an overhang. The beam supports a uniform distributed load. 0.5 kip/ft 16 ft 5 ft 1. Draw a free body diagram (FBD) of the beam and write the equations of equilibrium to solve for the support reactions. You do not have to include the horizontal reaction at A. Answer: R₁=3.61 kip ↑, RB 6.89 kip ↑ 2. Draw an FBD of the beam showing the loads and the known magnitude and direction of the support reactions. 3. Draw the shear diagram for the beam. 4. Draw the bending moment diagram for the beam. 5. At what location along the beam does the maximum positive bending moment occur? 6. At what location along the beam does the maximum negative bending moment occur?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: nd a solid steel [E = 32500 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.76 in.…

Q: The uniform beam has a mass of 54 kg per meter of length. Determine the reactions at the supports. A…

Q: Problem 2 For the beam shown in the figure A) Draw the shear-force and bending-moment diagrams for…

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

A: To determine the force in the members BC, BE and BF of the given truss. As we are to find the…

Q: 16 kN/m' M =28 kNm P=14V2 kN H=18 kN Š F C=Roll D E A = Roll B = Hinge 4 m 6 m 4 m 2m, 3 m Figure 1.…

A: Gerber beam In the instance of SE 110.12, a Gerber beam is an articulated beam comprising of two…

Q: The cantilever T- beam is loaded as shown in the figure. 80 mm 40 kN/m NA 120 mm 2.0 m INa = 30x106…

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

Q: Please solve no 6 and 10 step by step solution

Q: A flat bar ABCDEF of negligible mass is hinged at A and supported by a roller support at D as shown…

A: Given data in question Point loads vertical as well as inclined Span member length Overhanging beam…

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

A: Given truss with point load of magnitude 14 kn is acting at joint D and it is asked to determine the…

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

A: Solution given in next step

Q: A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E =…

Q: The uniform beam has a mass of 48 kg per meter of length. Determine the reactions at the supports. A…

A: Given Data Uniform beam has a mass of 48 kg/m Find the support reaction in terms of Netwon(N).

Q: In the figure above, the jib crane is supported by a pin at C and rod AB. Knowing that x = 6.2 m,…

Q: For the beam shown in the figure, determine the reactions at the supports and draw the diagrams of…

A: Given:q = 5 kN/ml = 1 mTo find:The reactions at the supports and draw the diagrams of the static…

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

A: Given Truss is asked to analyse to find forces in the members of BC, BE, EF By using method of…

Q: (2) (1) Pe с B L2 Li

Q: The uniform beam has a mass of 46 kg per meter of length. Determine the reactions at the supports.…

A: Using equilibrium equation

Q: 5.2. Find the critical value of the load P Fig. 5.2 if both ends of the beam are simply supported.…

A: Using Finite differences method Euler's buckling load Pcr = π2EIL2 let L = x Pcr = π2EIx2 x Pcr…

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

Q: What is the level rod reading in feet at the main crosshair line shown in the figure? (enter only a…

Q: Figure 1 shows a beam ABC that has a constant EI. The beam is subjected to a couple moment and a…

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

Q: A propped 6 m long cantilever beam is shown in Figure 3. In addition to a saw-tooth loading as shown…

A: Given clockwise moment is applied at B = 10 KN-m

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

A: Given : To Find : Forces in member BC, BE and EF ?

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

Q: 600 N/m 1 m 3 m 2 m R2

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

Q: A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E =…

A: Determine the normal stresses in bronze rods (1) and steel rod (2)

Q: 2KH Goo Support reaction at point B=.

Q: Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation…

Q: H.W3: Analysis the structure shown in figure, El is constant W=20 KN/m P 40 KN BL 4m 3 3.

Q: 2 包。

A: Consider 3 nodes 1 and 2 at both ends and 3 at internal hinge At each node take one displacement…

Q: Problem 1: A uniform horizontal beam of mass M = 6.3 kg and length 6 m is attached to a wall by a…

A: Given: The mass of the beam is 6.3 kg. The length of the beam is 6 m. The angle is 30o. The mass of…

Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

The beam shown below is a simple span with an overhang. The beam supports a uniform
distributed load.
0.5 kip/ft
16 ft
5 ft
1. Draw a free body diagram (FBD) of the beam and write the equations of equilibrium
to solve for the support reactions.
You do not have to include the horizontal reaction at A.
Answer: RA 3.61 kip ↑, RB 6.89 kip ↑
2. Draw an FBD of the beam showing the loads and the known magnitude and direction
of the support reactions.
3. Draw the shear diagram for the beam.
4. Draw the bending moment diagram for the beam.
5. At what location along the beam does the maximum positive bending moment occur?
6. At what location along the beam does the maximum negative bending moment occur?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: (1)calculate reactions

VIEW

Step 3: (2)Free body diagram

VIEW

Step 4: (3) shear force diagram

VIEW

Step 5: (4)bending moment diagram

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 14 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A steel strip is clamped at left end and supported by a spring at right end. The spring has a stiffness of k = 3 N/mm. The strip is 5 mm wide and 10 mm high. Take E = 200 GPa. A 10 mm -200 mm What is the reaction of the spring (N) 50 N B k:
Strength of material
The uniform beam has a mass of 41 kg per meter of length. Determine the reactions at the supports. A Answers: Ay Bx= y T II i i By = i 2.5 m N N Z Z N 1.2 m 340 kg B
Can you solve for the reaction R1 and R2 on the beam. Thank You
Calculate the forces in members BC, BE, and EF. Solve for each force from an equilibrium equation which contains that force as the only unknown. The forces are positive if in tension, negative if in compression. 17.0 kl 3.0 m A 3.0 m po G B 3.0 m 3.0 m C 3.0 m 2.1 m E D
The pin-jointed truss in Figure Q1 below is pinned supported at A and roller supported at C. (CO2:PO2)(C3) 20 kN/m E D 4 m 4 m 3 m 6 m 6 m 3 m Figure Q1 a) Determine the vertical displacement at B using the Virtual Work Method if in addition to the loads shown, member BE is cooled down by 30°C. Given the thermal expansion coefficient, a= 1x10-5/PC and the axial rigidity, AE = 20,000 kN. (CO2:PO2)(C4)
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 14200 ksi] rods, and a solid steel [E = 31400 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.68 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.54 in. Assume L1=44 in and L2=81 in. If all bars are unstressed before the load Pis applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 25 kips is applied. (2) (1) L2 (1) L1 A B Answers: i ksi. 02 = ksi.
SHOW SOLUTION AND ILLUSTRATION
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 15,000 ksi] rods, and a solid steel [E = 30,000 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.500 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.360 in. If all bars are unstressed before the load P is applied, determine the normal force in steel rod (2) after a load of P = 36 kips is applied.
From the given frame shown. Calculate the vertical reaction at A? if q =14.31 , and L=8.94. Answer in two decimal places 3ql ql. ql A 2L
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 13700 ksi] rods, and a solid steel [E = 32600 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.84 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.5 in. Assume L1=37 in and L2=66 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 27 kips is applied. (2) (1) L2 (1) L1 A P
Use x = 137 y = 37 a = 6 b = 8 c = 1