*expand_more*

*expand_more*

*format_list_bulleted*

#### Concept explainers

The beam *AB* is pin supported at *A* and supported by a cable *BC*. A *separate* cable *CG* is used to hold up the frame. If *AB* weighs 120 lb/ft and the column *FC* has a weight of 180 lb/ft, determine the resultant internal loadings acting on cross sections located at points *D* and *E*.

*D*and

*E*.

## Answer to Problem 1RP

The resultant internal loadings at cross section at *D* are

The resultant internal loadings at cross section at *E* are

### Explanation of Solution

**Given information:**

The beam *AB* is pin supported at *A* and supported by a cable *BC*.

The weight of the beam *AB* is

The weight of the column *FC* is

**Calculation:**

Find the loading at the center of the beam *AB*

Substitute *AB* and 12 ft for the length of beam *AB*.

Convert the unit from lb to kip.

Sketch the Free Body Diagram of the beam *AB* shown in Figure 1.

Refer to Figure 1.

Find the angle of cable *BC* to the horizontal

Find the tension in cable *BC* as shown below.

Take moment about *A* is Equal to zero.

Find the support reaction at *A* as shown below.

Apply the Equations of Equilibrium as shown below.

Summation of forces along horizontal direction is Equal to zero.

Summation of forces along vertical direction is Equal to zero.

Find the loading at the center of the beam *AD*

Substitute *AD* and 6 ft for the length of beam *AD*.

Convert the unit from lb to kip.

Sketch the Free Body Diagram of the section for point *D* as shown in Figure 2.

Refer to Figure 2.

Find the internal loadings as shown below.

Apply the Equations of Equilibrium as shown below.

Summation of forces along horizontal direction is Equal to zero.

Summation of forces along vertical direction is Equal to zero.

Take moment about *D* is Equal to zero.

Hence, the resultant internal loadings at cross section at *D* are

Find the loading at the center of the column *FC*

Substitute *FC* and 16 ft for the length of column *FC*.

Convert the unit from lb to kip.

Sketch the Free Body Diagram of the beam *FC* shown in Figure 3.

Refer to Figure 3.

Find the angle of cable *CG* to the horizontal.

Find the tension in cable *CG* as shown below.

Summation of forces along horizontal direction is Equal to zero.

Find the loading at the center of the column *FE*

Substitute *FE* and 4 ft for the length of column *FC*.

Convert the unit from lb to kip.

Sketch the Free Body Diagram of the section for point *E* as shown in Figure 4.

Refer to Figure 4.

Find the internal loadings as shown below.

Apply the Equations of Equilibrium as shown below.

Summation of forces along horizontal direction is Equal to zero.

Summation of forces along vertical direction is Equal to zero.

Take moment about *E* is Equal to zero.

Therefore, the resultant internal loadings at cross section at *E* are

### Want to see more full solutions like this?

*schedule*11:16

# Chapter 1 Solutions

Mechanics of Materials

# Additional Engineering Textbook Solutions

Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)

Thinking Like an Engineer: An Active Learning Approach (4th Edition)

Statics and Mechanics of Materials (5th Edition)

Applied Statics and Strength of Materials (6th Edition)

Thinking Like an Engineer: An Active Learning Approach (3rd Edition)

Engineering Mechanics: Statics & Dynamics (14th Edition)

- Determine the reactions at the beam supports for the given loading.
*arrow_forward*determine the ractions ro the supports*arrow_forward*Determine the magnitudes of the reactions at A, B, and D for the pair of beams connected by the ideal pin at Cand subjected to the concentrated and distributed loads. 30 kN 3.4 kN/m A B C Hinge -3.5 m 3.5 m 2.5 2.5 -5.0 m- 1.5 m m Part 1 We need to separate the two beams and draw a Free-Body diagram for each body. Each of the triangular distributed loads has been replaced by a equivalent single force R at the appropriate distance (d, or dz). Calculate R, d, and d2. d, R Cy R 30 kN A, 2.5 2.5 -5.0 m- 1.5 3.5 m 3.5 m m A, By Cy Dy Answers: kN R = m d =*arrow_forward* - Q.2. The beam EF given in figure weighs 10 N/cm and carries the 138 N weight at its end. It is supported by a ball- and- socket joint at E and the cables AB and CD. Determine the tensions in AB and CD. Find support reactions at E. 4m 3m i 3m D Зт Зт (W Assoc.Prof.Dr. Ebru DURAL
*arrow_forward*Determine the reactions (in lbs) for the beam loaded as shown with triangular loads each sidesA = 350 N/m, and a uniform distributive load in the middle C = 500 N/m and two point loads B = 600 N.*arrow_forward*The 440-kg uniform beam is subjected to the three external loads shown. Compute the reactions at the support point O. The x-y plane is vertical. Positive values are to the right, up, and counterclockwise. y 41 kN-m B HÖZ 4.8 KN 1.7 m 1.1 m Answers: Ox= Oy= i Mo= i i A kN kN 1.7 m kN.m 27 2.7 KN x*arrow_forward* - For the frame and loading shown, determine the internal forces at the point indicated:Point K
*arrow_forward*The 460-kg uniform beam is subjected to the three external loads shown. Compute the reactions at the support point O. The x-y plane is vertical. Positive values are to the right, up, and counterclockwise. 0 1.2 m Answers: Ox Oy = i Mo= i i A 6.1 KN 1.6 m 19 kN.m B kN kN 1.6 m kN-m 20 C 2.7 KN -1x*arrow_forward*Determine the support reactions at the the fixed support, A. Neglect the weight and size of the beam. Given data: Distributed load W=50 N/m; Couple C=160 N-m; and the point load P-780 N acting inclined at an angle of 35 in degree with respect to horizontal. W (n/m) P C (N.m) 1.5 m 2 m 4 m Horizontal force component at A along x, AxD Horizontal force component at A along y, Ay= Moment component at A, Ma= N. m*arrow_forward* - 9.
*arrow_forward*The compound beam is supported by a roller at point C, fixed at point A, and the two sections are pinned at point B. It is subjected to a free couple moment M, a distributed load with maximum load intensity w, and a concentrated force F. If the distributed load w = 0.6 kN/m, the concentrated force F = 0.6 kN, and the free couple moment M = 0.8, determine the magnitude of the support reaction (in kN) at pin B. Answer must include 2 places after the decimal point.*arrow_forward*Determine the magnitude of the vertical force Cy for the simply supported beam, where w = 7 kips/ft, M = 270 kip-ft, L1 = 12 ft, L2 = 3 ft, and L3 = 8 ft. B L1 L2 L3 88.4 kips O 147.3 kips O 133.3 kips O 105.4 kips O 95.2 kips*arrow_forward*

*arrow_back_ios*

*arrow_forward_ios*

- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY