**Problem Statement:**The semicircular rod has a 200 N load acting on it at the lower end in the direction shown in the figure. The rod is supported by a fixed support at A. Determine the internal axial force \( F \), the shear force \( V \), and bending moment \( M \) at section \( C \) where the angle is 30°.**Diagram Explanation:**The diagram shows a semicircular rod with a radius of 0.5 m. The rod is fixed at point \( A \) and has a load of 200 N applied at the bottom, at point \( S \). The load direction is vertically downward. Section \( C \) makes an angle of 30° with the vertical axis.- **Points and Angles:** - \( A \): Fixed support. - \( B \): Top end of the semicircle. - \( C \): Point of interest where the angle is 30°. - \( S \): Point where the load is applied, directly below \( A \). - The semicircular rod makes a complete 180° turn from \( A \) to \( B \).- **Forces:** - 200 N force is applied downward at \( S \).**Tasks:**Calculate the following at point \( C \):1. **Internal Axial Force \( F \):** The component of force along the axis of the rod at section \( C \).2. **Shear Force \( V \):** The force perpendicular to the rod's axis at section \( C \).3. **Bending Moment \( M \):** The moment that causes bending at section \( C \).

Given Data: The load acting on the lower end of the rod is P=200 N. The radius of the semicircular…

drs - The semicircular rod has a 200 N load acting on it at the lower end in the direction shown in the figure. The rod is supported by a fixed support at A. Determine the internal axial force F, the shear force V and bending moment M at section C where the angle is 30°. 0.5 m 30 200 N

drs - The semicircular rod has a 200 N load acting on it at the lower end in the direction shown in the figure. The rod is supported by a fixed support at A. Determine the internal axial force F, the shear force V and bending moment M at section C where the angle is 30°. 0.5 m 30 200 N

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: Q.17 A stepped circular shaft is fixed at A and C as shown in the figure below. The diameter of the…

Q: Force P in the xy-plane acts on the triangular plate. Determine P in the following situations:a)…

A: The problem involves calculating the moment of force P acting on a triangular plate in two different…

Q: calculate the location of the centroid, the second moments and product of area for the cross-…

A: The objective of this question is to calculate the location of the centroid, the second moments and…

Q: Problem 4. Compute rotation of joint C. Take El constant for all members and ignore axial…

A: ###Determination of Rotation of Joint C using Unit load method##

Q: The axial force at B is? 2. The bending moments at points C and E are?

A: Draw the free body diagram. Equilibrium of horizontal forces, ∑Fx=0Fx=0

Q: Determine then,draw 2 k/ft the reactions on the beam. the shear-moment diagram 3 k/ft 600 k ft 12 ft…

Q: A force P of magnitude 1,100 N is applied to the pedal shown satisfies a shearing stress in the pin…

A: Take moment about C∑ Mc=0TBA0.125-11000.3=0TBA=2640N∑ Fx=0TBA-Cx=0Cx=2640N∑ Fy=0 Cy=1100N…

Q: Beam AC is attached to the wall and is supported by column BD at the other end, as shown in the…

A: Disclaimer :“Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Question 1. Determine the tension force in member C and its angle e for equilibrium. The forces are…

Q: Consider the given plane truss supported at A and B as shown below. 20 kN E 2 m G 2m 2 m H 2 m F 5…

A: Take moment at A zero to find reaction at B

Q: The horizontal rigid beam ABC is supported by vertical bar BD and is loaded by a force P acting at…

Q: The rigid bars AC and BCD are supported by pins at A and B and by a steel rod at D. There is a…

Q: Draw a neat, fully annotated shear force and bending moment diagram, including the maximum in span…

A: The loading diagram is shown below. Hint : Horizontal distance of BD=3 cos45°=2.12 mVertical…

Q: Two identical 12-in. storm sewers flow full at a 2% slope into a junction box. A single large pipe…

Q: If the shear at point A on a beam is zero, then A.the slope of the bending moment at A must be zero…

Q: Problem 6.93 The cross section is rectangular with a base of 5 in and height of 8 in. A force of P =…

A: A beam at A supported by a vertical hinge and at B, the reaction developed is uniformly distributed…

Q: Find the bending stress at point B located at Im from the right end of the beam. 2 N/m 1N.m 2 cm 10…

A: The most common structural element subject to bending moments is the beam. When the beam is loaded…

Q: The uniform rectangular panel ABCD has a mass of 40 kg and is hinged at its corners A and B to the…

Q: { D { C 5) The box truss shown in the figure is loaded by three vertical forces acting at joints A,…

A: Given Data: Length of each member = 2 m First we have to find reaction at support O and support F.…

Q: Assume A = 60 in.2, I= 300 in.4, and E = 29,000 ksi. (c) Determine the following: (i) The rotation…

Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

**Problem Statement:**

The semicircular rod has a 200 N load acting on it at the lower end in the direction shown in the figure. The rod is supported by a fixed support at A. Determine the internal axial force \( F \), the shear force \( V \), and bending moment \( M \) at section \( C \) where the angle is 30°.

**Diagram Explanation:**

The diagram shows a semicircular rod with a radius of 0.5 m. The rod is fixed at point \( A \) and has a load of 200 N applied at the bottom, at point \( S \). The load direction is vertically downward. Section \( C \) makes an angle of 30° with the vertical axis.

- **Points and Angles:**
- \( A \): Fixed support.
- \( B \): Top end of the semicircle.
- \( C \): Point of interest where the angle is 30°.
- \( S \): Point where the load is applied, directly below \( A \).
- The semicircular rod makes a complete 180° turn from \( A \) to \( B \).

- **Forces:**
- 200 N force is applied downward at \( S \).

**Tasks:**

Calculate the following at point \( C \):

1. **Internal Axial Force \( F \):** The component of force along the axis of the rod at section \( C \).
2. **Shear Force \( V \):** The force perpendicular to the rod's axis at section \( C \).
3. **Bending Moment \( M \):** The moment that causes bending at section \( C \).

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

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

3. The rigid rod ACDB is loaded by a uniform distributed load of intensity 3.5 kN/m and supported by a pin at A and a roller at B. Calculate the internal axial force F, the shear force V and the bending moment M at cross section D. 2 m 3.5kNM 6 m 45° 3 m 3 m
Given the truss below, take F₁ = 8kN, F₂= 4kN, L= 1.5m, h=2m. Use the Method of Sections. 0 21 (T) 20 (T) 5 (C) 20 (C) 5 (T) F₂ 21 (C) F₁- E A F Using a single equation of equilibrium, the force in KN in member BC. is mostly near_ LL D C TRID B h
The frame (Figure 1) has dimensions H1 = 4 m , H2 = 3 m , and L1 = 6 m , and supports two lateral loads P1 = 10 kN and P2 = 12 kN . The area of column AE is 40 cm2 and the area of column BF is 80 cm2 . a) Use the cantilever method to determine the axial force at G. Gy = ? b) What is the horizontal reaction from the ground on the base of the column at A? Let a positive reaction be pointing to the left. Ax = ? c) What is the horizontal reaction from the ground on the base of the column at B? Let a positive reaction be pointing to the left. Bx = ?
A box section ABCD is subjected to different loadings on all the four sides as shown in the figure. Calculate the ratio of fixed end moments at A and B for the member AB. Consider clockwise moment as positive and vice-versa. 2 kN/m 12 kN/m D 2 kN/m A 4 m 2 m 10ΚΝ 5 kNm 4 m 2 m 4 m B 5 kNm
Q3: Determine maximum bending stress in the strut and the orientation of the neutral axis. If the resultant internal moment acting on the cross-section of the aluminum strut has a magnitude of M=510 N.m and is directed as shown. 20 mm B 200 mm 20 mm 20 mm E200 mm 200 mm-
A vertical steel bar ABC is pin-supported at its upper end and loaded by a force P1 at its lower end. A horizontal beam BDE is pinned to the vertical bar at joint B and supported at point D. Load P2 and moment M are applied at end E. Calculate the vertical displacement δC at point C if the loads are P1 = 2.5 kip, P2 = 1 kip, and M = 25 kip-in. The modulus of elasticity is E = 29,000 ksi and crosssectional areas are A1 = 0.25 in2 A2 =0.15in2 .Ignore the weight of the bar.
ASAP NEED COMPLETE SOLUTION AND BOX THE ANSWER
The steel shaft is formed by attaching a hollow shaft o a solid shaft. Determine the maximum torque T that can be applied to the ends of the shaft without exceeding a shear stress of 70 MPa or ana angle of twist of 2.5° in he 3.5-m length. Use G = 83 GPa for steel. T ANS: T = 4.00 KN-m 100 mm 2 m 70 mm 70 mm 1.5 m 6
The frame (Figure 1) has dimensions H1 = 4 m , H2 = 3 m , L1 = 5 m , and L2 = 10 m and supports two lateral loads P1 = 10 kN and P2 = 12 kN . a) Use the portal method to determine the shear at J. VJ = ? b) What is the vertical reaction from the ground on the base of the column at AA? Let a positive reaction be pointing upward. Ay = ? c) What is the vertical reaction from the ground on the base of the column at B? Let a positive reaction be pointing upward. By = ?
The right angle bar is supported by a pin at B and a roller at C as shown in figure. The 30 mm diameter pin is in double shear. The shear stress in the pin is limited to 120 MPa. Neglect torsional effect. 400 mm BC The maximum safe value of Pis 30° P 480 mm kN. (Round off to one decimal place)
Part E The shaft is supported at its ends by two bearings A and B and is subjected to the forces applied to the pulleys fixed to the shaft. (Figure 1) The T = 585-N forces act in the -z direction and the 200-N and 80-N forces act in the +y direction. The journal bearings at A and B exert only y and z components of force on the shaft. Determine the resultant bending moment in the y direction on the cross section at C. Express your answer to three significant figures and include appropriate units. HA Figure 1 of 1 (Mc)y = Value Units Submit Request Answer 400 mm 150 mm 150 mm Part F В 200 mm Determine the resultant bending moment in the z direction on the cross section at C. 200 mm Express your answer to three significant figures and include appropriate units. 300 mm 80 N 80 N HA 200 N 200 N (Mc)z = Value Units Submit Request Answer
Solve B Please fast