Answer is RA = 12.50 KN and RB = 0.50 KN # Problem 4.32: Beam Reaction Calculation**Objective:**Calculate the reactions at each support for the beam shown. Neglect the weight of the beam.**Problem Description:**- A beam is subjected to a point load and a uniform distributed load.- A point load of \(3 \, \text{kN}\) is applied at the left end of the beam.- A uniform distributed load of \(900 \, \text{N/m}\) is applied over the entire length of the beam.**Beam Configuration:**- **Support A**: - Located 4 meters from the left end. - Shown as a triangular support.- **Support B**: - Located 10 meters from the left end (6 meters from Support A). - Shown as a circular support.**Dimensions:**- Distance from the left end to Support A is 4 meters.- Distance between Support A and Support B is 6 meters.### Diagram Explanation- The beam is horizontal, with downward arrows indicating the applied loads.- The point load is represented by a single downward arrow labeled \(3 \, \text{kN}\).- The uniform distributed load is represented by multiple downward arrows evenly spaced along the beam.- Supports are indicated by symbols beneath the beam: a triangle for a fixed support at A and a circle for a roller support at B. Given this setup, determine the reactions at supports A and B.

To determine:Reaction at A and B

Answered: 4.32 Calculate the reactions at each…

4.32 Calculate the reactions at each support for the beam shown. Neglect the weight of the beam. Problem 4.32 3 kN 4 m A 900 N/m 6 m B

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: 3a) Calculate the moment produced by F with respect to point B in Nm. Yanıt: 3b) Determine the…

Q: Determine the force in each member of the loaded truss. Discuss the effects of varying the angle of…

A: given; AB=8.6'BC=3.6'angle(α)=?lets take tension force in member AB=TABlets take tension force in…

Q: At a temperature of 22.8 °C a 0.44-mm gap exists between the ends of the rods shown. At a later time…

Q: The rod BD is made of material with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at…

A: Given: Rod BD: G1=124 GPad=34 mm Tube CA: G2=211 GPaD0=73 mmt=10 mmT1=-579 N.m (counter clockwise…

Q: The device is used to measure a change in temperature. Bars AB and CD are made of A-36 steel and…

Q: At a temperature of 38.2 °C a 0.49-mm gap exists between the ends of the rods shown. At a later time…

A: Given that , Aal=2000mm2Eal=75GPaαal=23×10-6/°C Ast=800mm2Est=190GPaαst=17.3×10-6/°C At…

Q: The ratio of original length to the decrease in length is known as compressive strain. Select one:…

A: When an external load or a force is applied on the object that tends to compress the object, the…

Q: The rod BD is made of material with G1= 137 GPa has a diameter 42 mm is bonded to the tube CA at…

Q: The force on a wagon wheel is F=2000 N. Find the axle diameter of the wagon wheel made of Fe50…

A: To design a machine element, we need to analyze the forces applied to the element. The forces can…

Q: A solid prismatic rod is L; = 390 mm long and has a circular cross section with a diameter of d = 40…

Q: A system of three steel (E = 30, 000 ksi) pipes is loaded and supported as shown below. The loads…

Q: The rod BD is made of material with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at…

A: Write the given data with suitable variables. dBD=34 mmdo=73 mmt=10 mmT1=579 NmT2=1042 Nm

Q: Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly…

A: P= 189.3 kN= 189.3(1000) N= 189300 N Cross sectional area of the bronze, ABronze= 400 mm^2 Magnitude…

Q: /0.009MA BM FOLE 4. Answer:

A: Geometric Dimensioning and Tolerancing (GD&T) could be a language of symbols and measures…

Q: 0.4 m A 0.6 m M B 0.4 m 0.4 m Determine the magnitude of the pin force at B. Take M = 92.8 Nm. Give…

A: Step 1: Step 2:

Q: At a temperature of 28.75 °C a 0.4-mm gap exists between the ends of the rods shown. At a later time…

Q: The rod BD is made of material with G1= 137 GPa has a diameter 42 mm is bonded to the tube CA at…

Q: The ratio of decrease in length to the original length is known as compressive strain. Select one:…

Q: Q2: A spacer is turned from Aluminum alloy with elasticity modulus of 78 GN/m?. The spacer has a…

Q: In the Figure 6, the absolute force value in the bar AC is (in kN): Figure 6:

A: Introduction: Absolute force: Absolute force, often known as absolute strength, is the maximum…

Q: Determine the total elongation of the figure shown. Use E1 = 70 GPa, and E2 = 100 GPa 0.5 m D₁ =…

A: To find: The total elongation of the figure. Given: The young's modulus of bar 1 is E1=70 GPa. The…

Q: The rod BD is made of materia with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at…

A: The above question is based on Torsion of shafts.

Q: The ratio of linear strain to the lateral strain is called shear strain. Select one: True False

A: Poisson ratio is the ratio of the lateral strain to the longitudinal strain. μ=-εlateralεlinear The…

Q: Determine the internal forces at point J, with alpha = 0°

A: Introduction: Internal forces: External forces acting on structure elements such as poles, beams,…

Q: 8000 lb 3000 lb 7000 lb 2000 lb 4' 5' 3' Fig. P-208 and P-209. up (73 208. An aluminum bar having a…

A: To find: The total deformation. Give: The Young's modulus is E=10×106 psi. The cross sectional area…

Q: Q2 A steel bar of cross-sectional area 200 mm² is loaded as shown in Fig. Find the change in length…

Q: The 981-kg uniform bar AB is suspended from two cables AC and BD each with cross-sectional area 339…

Q: The aluminum block has a rectangular cross section and is subjected to an axial compressive force of…

A: if you have any doubt comment

Q: The tip of a cutting tool has stresses at the surfaces, as shown in the sketch. On the upper…

A: Given data, τxy = -15.9 MPa To determine:- σx and σy Shear stress of the upper surface

Q: A force F of magnitude F = 53 N is applied at point B. (Figure 5 )Determine the magnitude of the…

Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

100%

Answer is RA = 12.50 KN and RB = 0.50 KN

# Problem 4.32: Beam Reaction Calculation

**Objective:**
Calculate the reactions at each support for the beam shown. Neglect the weight of the beam.

**Problem Description:**

- A beam is subjected to a point load and a uniform distributed load.
- A point load of \(3 \, \text{kN}\) is applied at the left end of the beam.
- A uniform distributed load of \(900 \, \text{N/m}\) is applied over the entire length of the beam.

**Beam Configuration:**

- **Support A**:
- Located 4 meters from the left end.
- Shown as a triangular support.
- **Support B**:
- Located 10 meters from the left end (6 meters from Support A).
- Shown as a circular support.

**Dimensions:**

- Distance from the left end to Support A is 4 meters.
- Distance between Support A and Support B is 6 meters.

### Diagram Explanation

- The beam is horizontal, with downward arrows indicating the applied loads.
- The point load is represented by a single downward arrow labeled \(3 \, \text{kN}\).
- The uniform distributed load is represented by multiple downward arrows evenly spaced along the beam.
- Supports are indicated by symbols beneath the beam: a triangle for a fixed support at A and a circle for a roller support at B.

Given this setup, determine the reactions at supports A and B.

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: Determine the given data

VIEW

Step 2: Calculate the reaction at support

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Q5
The ratio of shear stress to its strain is known as Modulus of elasticity. Select one: True False
At a temperature of 22.49 °C a 0.49-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 130.94°C, determine the magnitude of the normal stress (in MPa) in the steel rod if L = 313.69 mm and M = 239 mm. Round off the final answer to four decimal places.
At a temperature of 33.01 °C a 0.46-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 138.98°C, determine the magnitude of the normal stress (in MPa) in the steel rod if L = 304.28 mm and M = 209 mm. Round off the final answer to four decimal places.
In the figure. Determine the FB? If ∑ M = 0
The device is used to measure a change in temperature. Bars AB and CD are made of A-36 steel and 2014-T6 aluminum alloy respectively. When the temperature is at 65° F, ACE is in the horizontal position. Figure 1.5 in. -0.25 in. C 3 in. 1 of 1 اساساسا Part A Determine the vertical displacement of the pointer at E when the temperature rises to 160 ° F. (Figure 1) Express your answer with the appropriate units. SE = Value Submit Request Answer Provide Feedback Units ?
The rod BD is made of materia with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at point B, the tube made of material with G2=211 GPa has an outer diameter 73 mm and wall thickness of 10 mm. If T1=579 N.m and T2=1042 N.m, answer the following questions: A B T2 N-m 0.4 m 0.1 m 0.3 m T1 N-m The polar moment of inertia of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is
6 kN A 2KN 2M 2M 2M Solve for the force magnitude and direction in member AB, to the nearest 0.01 kN. 2M twit
2m 9. The rod AB rests on a horizantal surface at A and against slipping suface at B if Ms =0-25 at A&B. Find the minimum distance a for equilibriam, negledt the weight ( Ans a-l-6lm) a 60N • peu m7 jo
Q!n find the change in temperature in the Steel Yod only so that Point B moves 2mm to the right? Determine the thermal Stresses in each rod ? Steel aluminume 2m 3.Sm
If the allowable shear stress is, Tallow = 60 MPa, determine to the nearest millimetre the smallest-diameter shaft that will support the loading as shown in Figure 2. 200 mm B 400 mm 75 mm F, - 3 kN 50 mm 350 mm D Figure 2 F₂ = 2 kN
FN=61 SN=79