Shape of the "shear force diagram" for a simply supported beam subjected to pure moment $M$ at the center of span, will be:
Show Hint
- 1
- 2
- 3
- 4
The Correct Option is C
Solution and Explanation
Step 1: Recall relation between load, shear, and moment.
\[
\frac{dV}{dx} = -w, \frac{dM}{dx} = V
\]
where $w =$ load intensity, $V =$ shear force, $M =$ bending moment.
Step 2: Apply to given condition.
- A pure couple $M$ is applied at the center.
- Since no distributed load $w=0$, shear force $V$ must be constant across spans except at the location of applied couple.
- For a couple, there is no net vertical force $\Rightarrow$ shear force is zero everywhere.
Step 3: Shape of SFD.
Thus, the shear force diagram is a straight line along zero axis.
Step 4: Conclusion.
The correct SFD shape is option (3).
Top CUET PG Civil Structural and Transport Engineering Questions
The solution(s) of the ordinary differential equation $y'' + y = 0$, is:
(A) $\cos x$
(B) $\sin x$
(C) $1 + \cos x$
(D) $1 + \sin x$
Choose the most appropriate answer from the options given below:For the matrix, $A = \begin{bmatrix} -4 & 0 \\ -1.6 & 4 \end{bmatrix}$, the eigenvalues ($\lambda$) and eigenvectors ($X$) respectively are:
The value of $\iint_S \vec{F} \cdot \vec{N} \, ds$ where $\vec{F} = 2x^2y \hat{i} - y^2 \hat{j} + 4xz^2 \hat{k}$ and $S$ is the closed surface of the region in the first octant bounded by the cylinder $y^2 + z^2 = 9$ and the planes $x = 0, x = 2, y = 0, z = 0$, is:
The value of the integral $\displaystyle \oint_C \frac{z^3 - 6}{2z - i} \, dz$, where $C: |z| \leq 1$, is:
- In a Binomial distribution, the sum of its mean and variance is $1.8$. If the event was conducted $5$ times, then the probability of two successes is:
Top CUET PG Strength of Materials Questions
- A rectangular section has width $b$ and depth $d$ and a symmetrical triangular section has base $b$ and depth $d$. The ratio of moment of inertia of rectangular section to that of triangular section with respect to their respective centroidal axis will be:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is:
- Which of the following statements is correct?
Which of the following statements are correct?
A. Malleability is the ability of a material to absorb strain energy till the elastic limit.
B. Toughness is the ability of a material to absorb energy till the rupture.
C. Resilience is the area under the load deformation curve within the elastic limit.
D. Stress-strain diagram of highly brittle material has no plastic zone.
Choose the most appropriate answer from the options given below:The degree of static indeterminacy of the beam (as shown below) for general case of loading is:
Top CUET PG Questions
- Given below are two statements:
Statement I: For Plato the meaning of the word 'Justice' is basically a conception in the mind only.
Statement II: For Plato the meaning of the word 'Justice' is fixed, mind-independently
In the light of the above statements, choose the correct answer from the options given below: - What is the electron count of OS6CO182-?
- XeF4 hydrolysis gives A + B, HF, and Oxygen. Find A and B
- What is more basic in pyrol and pyridine?
- Hydrolysis of Al2C3, Be2?